For example, picture yourself taking a shower. In other words, for a single real pole in the left-half plane p: H ( j ω) = 1 1 + j ω p. At the frequency where | ω | = p, the amplitude of this system will be 1 1 + 1 j which has an amplitude of 1 / 2 … The feedback may be of negative magnitude and positive magnitude. Connect the output of the Gain block to the second input of the Sum block. Steady-state output is gain x steady state input. These situations are unstable. Think about them as the margins on engineering papers: They represent the [extra] room you get, in case you [had] to run outside the specified space for writing. 2. Closed loop systems, the theory of classical PID and the effects of tuning a closed loop control system are discussed in this paper. For example, a remote-controlled robot arm can be used to pick up material in a radioactive environment. However, hydraulic system designers actually have control of what the optimal proportional gain will be because they have control of the damping factor, natural frequency, and open-loop gain. Among this book's most outstanding features is a summary table that accompanies each topic or problem and includes a statement of the problem with a step-by-step solution. Written as a companion volume to the author's Solving Control Engineering Problems with MATLAB, this indispensable guide illustrates the power of MATLAB as a tool for synthesizing control systems, emphasizing pole placement, and optimal ... Below are recommendations (and the rules that Nelprof, the Metso control valve sizing and selection software, uses when selecting the best valve size for an application) for gain magnitude and variation. Some older mics may have a “level” switch: high or low, or high, medium and low. Q4. In closed loop control system, with positive value of feedback gain the overall gain of the system will In a system low friction co-efficient facilitates This function, the sum of a differentiator s and a pure gain Zc, is called an ideal derivative compensation, or Proportional-Derivative PD controller. Automatic Control Systems A conditionally stable system is stable for the value of gain between two critical values. Control systems are also useful in remote or dangerous locations. 8.3.1 PID Control Systems The Proportional Integral Derivative (PID) control function shown in Figure 8.6 is the most popular choice in industry. Pages 4. Port pressure gain is the slope of the dead head pressure curve vs control current at a specific operating point as applied to each of a valve's two work ports.Pressure metering curves are assessed with work ports dead headed. The steady-state gain of a loop can be computed by substituting s=0 into a closed-loop transfer function. The difference between "volume" and "gain" is that after a certain point, increasing gain goes into clipping and you get a change in tone but not volume. Volume is measured in decibels and gain is measured by the change in signal strength of a sine wave within the amp. Open […] What is gain? Any system that can respond to the changes and make corrections by itself is known as a closed-loop control system. With this book, author Philipp K. Janert demonstrates how the same principles that govern cruise control in your car also apply to data center management and other enterprise systems. The proportional control action from B to C will be equal but opposite to the proportional control action from A to B. Control Mode A specific type of control action such as proportional, integral or derivative. ADAPTIVE CONTROL. This article contains excerpts from the section of the book covering stability criteria. In Simulink ®, you can model gain-scheduled control systems in which controller gains or coefficients depend on scheduling variables such as time, operating conditions, or model parameters.The library of linear parameter-varying blocks in Control System Toolbox™ lets you implement common control-system elements with variable gains. The purpose of a gain control is to tune the amp’s input stage to accept the head unit’s voltage level. The following shows a simple example of why this is useful in control systems. A textbook for engineers on the basic techniques in the analysis and design of automatic control systems. In fact Phase and Gain margins got their name from the same concept. When tuning PID servo loops, increasing the integral gain (K i) improves system response, but because the integral gain increases over time at the end of the move, it can cause overshoot and oscillations. The bandwidth is the range of frequencies for which the system gain Is more than 3 dbB. For all non-rocket scientist purposes, you’re probably going to see a gain control in two places. Q3. To attain the stability and to auto correct the errors occurred in the output of the system, we depend on feedback technique. Control System, Multi-Element (Multi-Variable) A Since the models we have derived consist of differential equations, some integration must be performed in order to determine the time response of the system. Do not use derivative action. With modern computer control systems, scaling for unit conversions is becoming more common in the controller signal path. A control system where the controller elements are not central in location but distributed throughout the system with each component sub-system controlled by one or more controllers. In engineering the term refers to amplification and that is pretty much what the gain control on a radar does, it determines the amplification of the beam. Phase and Gain margins provide information in terms of stability. The signal flow graph technique has also been explained with the same objective. This book lays emphasis on the practical applications along with the explanation of key concepts. The time responserepresents how the state of a dynamic system changes in time when subjected to a particular input. When a hydraulic actuator needs accurate speed control, use a pressure-compensated flow control. Gain (of the process): Gain is defined as the change in input divided by the change in output. Derivative Controller. Introduction to state-space methods covers feedback control; state-space representation of dynamic systems and dynamics of linear systems; frequency-domain analysis; controllability and observability; shaping the dynamic response; and more. ... One hypothesis, shown in Figure 1B, is that the monocular and binocular gain parameters of the model are affected by the action of one or more gain control systems. • The main difference between open-loop and closed-loop systems is the feedback action. Automatic gain control ( AGC ), is a closed-loop feedback regulating circuit in an amplifier or chain of amplifiers, the purpose of which is to maintain a suitable signal amplitude at its output, despite variation of the signal amplitude at the input. The average or peak output signal level is used to dynamically adjust the gain of the amplifiers, enabling the circuit to work satisfactorily with a greater range of input signal levels. Note the response time is quite slow and the system fails to reach the final SP. But that isn't what it does from a pilot's perspective. Each access card is uniquely encoded. This will minimize amplifier clipping and decrease the noise floor of the system which will increase the dynamic range of the system. Analysis and design methods are explained in terms of theory and practice. The book covers classical, linear feedback controls, and linear approximations are used when needed. Sometimes a display has been scaled but the signal in the loop path has not. Derivative is a way to reduce total error by using more aggressive gain … System steady-state gain can be computed by substituting s=0 into a transfer function. Note the quick time to rise and settle right on the SP line. Open-loop equivalent system closed-loopsystem: PSfrag replacements r e u y C P open-loopequivalent(OLE)system: PSfrag replacements r u y P C 1+PC (hassameI/Ogainasclosed-loopsystem,i.e.,T) Feedback control systems: static analysis 12{16 Figure shows the level control of a separator. The level in the separator can be set to control at position A or position B. The more gain a controller has the faster the loop response and more oscillatory the process. The rate or derivative control action from B to C will be double that from A to B. A second question concerns the mechanism underlying the gain reductions. Originally Answered: What is the d.c. gain of a system having the transfer function H (s) = 12/ { (s+2) (s+3)}? With phone turned down too low, you can’t hear the other person over the background noise around you. The controller gain and derivative settings remain constant. The PID toolset in LabVIEW and the ease of use of these VIs is also discussed. An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Contrast adaptation (slow, seconds) and contrast gain control (fast, ≈100 ms) are at work all over the place in our visual system, and be it ‘just’ to make up for the inhomogeneity of retinal sampling. Tap off the "x1_dot" signal and connect it to the input of this new Gain block (draw this line in several steps if necessary). Often, the best control system is the simplest. Lower gain settings require higher volume control settings for the amplifier to reach full power. The overall gain or transfer function . And the oldest, least expensive mics have, well, nothing. As it is an important characteristic thus the performance of the control system shows a high dependency on stability. DC Gain of a system is the gain at the steady state which is at t tending to infinity i.e., s tending … The result is a control variable value. small deviation from the set point, rapid cycling When the gain of a proportional controller is 1, it will cause the controlled variable to change more ____ than if the gain is 4. The same analogy apply to systems. This fourth edition of the practical guide has been updated with cutting-edge control design scenarios, models and simulations enabling apps from battlebots to solar collectors. Most access cards are approximately the same size as a standard credit card, and can easily be carried in a wallet or purse. The greater the combined gain of transmitter, process, and valve, the less gain is … If the value of (1+GH) is less than 1, then the overall gain increases. The gain of the circuit can be controlled by changing the resistor value and hence the output of the system. of forward paths in the signal flow graph. Linear control system the matrix r and gain vector k. School Federal Urdu University of Arts, Sciences & Technology, Islamabad. Loop gain is the term applied to the gain in a parameter when a portion of the output of a device in the circuit or system is returned as input to the device. The text builds a strong mathematical foundation of control theory of linear, nonlinear, optimal, model predictive, robust, digital, and adaptive control systems, and it addresses applications in several emerging areas, such as aircraft, ... One of them is on your mixer board or PA, and the other is on a guitar amp. Found insideThis book focuses on the applications of robust and adaptive control approaches to practical systems. A graph of a system response with only a high Proportional Gain value of 0.3. For Low Voltage Sources (less than 2.5 volts & typical OEM interfaces) The block diagram on the right shows the principles of how these terms are generated and applied. In order to get the specified output, the various parameters of the system must be controlled. Anything that must be maintained in the body within a normal range must have a control system.A control system consists of four components: Stimulus, or physiological variable that changes, is the item to be regulated.Variable in the broad sense is a value that varies or changes. The intent of this book is to emphasize the basics of control system. The resulting open loop control signal pattern is shown in the lower portion of Graph. Adaptive control : Variable gain, variable set point and feedforward control collectively help any control system to adapt to a changed condition. It shows a PID controller, which continuously calculates an error value e ( t ) {\displaystyle e(t)} as the difference between a desired setpoint SP … 25) In second order system, which among the following remains independent of gain (k)? However, it does display oscillation, indicating that the system is working a little harder than maybe it has to. … The book also offers all new information on: advanced control topics; auxiliary components (reservoirs, accumulators, coolers, filters); hybrid transmissions; multi-circuit systems; and digital hydraulics. On modern DCS systems it is set using a computer programme. Otherwise, system pressure fluctuations or load changes will affect actuator velocity. Gain is a proportional value that shows the relationship between the magnitude of the input to the magnitude of the output signal at steady state. loop control system. Sensory gain control in the nervous system. Concept: Negative feedback in a closed-loop reduces gain improves the bandwidth and disturbance rejection. Many systems contain a method by which the gain can be altered, providing more or less "power" to … 2) OH YES in a system with negative feedback, like this: The sign of the feedback signal (running through (H) ) cannot be changed sign-wise or the feedback would not longer be negative feedback but positive. A control system can produce the needed power amplification, or power gain-Robots designed by control system principles can compensate for human disabilities. Gain and Phase Margin tell how stable the system would be inClosed Loop. Write Mason’s gain formula. state gain G(0) ∞ and this affects result. In this way, a gain scheduled controller can produce adequate control over the entire operating range of the system by splitting the range into smaller, linearly controllable areas. Closed loop poles c. Both a and b d. None of the above. The more gain a controller has the faster the loop response and more oscillatory the process. Reliable, up-to-date, and versatile, Control System Fundamentals answers your basic control systems questions and acts as an ideal starting point for approaching any control problem. 26) Root locus specifies the movement of closed loop poles especially when the gain of system _____ a. In its most general sense, gain is the ratio of the magnitude of the output change of a given system or device to the magnitude of the input change that caused the output change. Two examples of variables that change are body temperature and blood glucose. A transfer function describes the relationship between the output signal of a control systemand the input signal. A control system is defined as the collection of devices which are used to control or regulate the output of other system. Note: It is subdivided into a controlling system and a controlled system. A graph of a system response with only a low Proportional Gain value of 0.075. Both of these techniques are frequency domain techniques. The text of Digital Control Systems is enhanced, for practical and tutorial purposes, by the use of software which illustrates the various concepts and algorithms and gives a feeling for the phenomena, discussed. 27. In control theory, signal processing, mathematics, and electronics, overshoot is the manifestation of a function or signal that exceeds its target. GAIN = 100/(Proportional Band). In servo-valves, the pressur. The gains intrinsic to the measuring device (transmitter), final control device (e.g. 1. A high gain feedback control system is disclosed which is capable of stably operating without exhibiting any unstable phenomena such as natural frequency. The distinguishing feature of the PID controller is the ability to use the three control terms of proportional, integral and derivative influence on the controller output to apply accurate and optimal control. This preview shows page 2 - 4 out of 4 pages. 9. However, if constant gain control is used, the power deviations in group 2 due to the loss of group 1 will be preserved after amplifier 3 by the constant gain constraint. A gain greater than one (greater than zero dB), that is amplification, is the defining property of an active component or circuit, while a passive circuit will have a gain of less than one. Practical Use of Gain. What gain really does is change the focus of the beam, thereby changing the color calibration of what you see on the radar. GAIN = 100/(Proportional Band). Many systems contain a method by which the gain can be altered, providing more or less "power" to the system. Proportional gain is the most important component of the PID algorithm, but a K p value that is too high can cause the system to oscillate, to become under-damped, or to become unstable. From the reviewers: Control systems are ubiquitous and their use would be even more widespread if more people were competent in designing them. This book will play a valuable role in expanding the cadre of competent designers. The mechanism which adjusts the gain on many industrial controllers is expressed in terms of proportional band (PB). Definition: An open-loop system is a type of control system in which the output of the system depends on the input but the input or the controller is independent of the output of the system.These systems do not contain any feedback loop and thus are also known as non-feedback system.. The only difference between open-loop and closed-loop systems is the feedback action. Gain is a proportional value that shows the relationship between the magnitude of the input to the magnitude of the output signal at steady state. Design examples at the end of most chapters support the text's strong design orientation, as do thorough discussions of design methods using root locus and Bode methods that go beyond rote memorization. A process with high gain will react more to the controller output changing. Completely updated, this new edition of Nise's popular book on the design of control systems shows how to use MATLAB to perform control-system calculations. Think about it like a cellphone conversation. Normally, the natural frequency is calculated using the bulk modulus of oil, cylinder areas, volume of oil under compression, and mass. PART-A. It is usually expressed as a magnitude in dB. When you are designing a control system, stability is of prime importance. For these your only recourse is to adjust the level in the computer control panel or in your recording software. For some simple systems, a closed-form analytical solution may be available. Looking at the controller voltage output, we see that the derivative gain is giving high oscillations. AbstractThis article brings together the ideas of open loop gain, closed loop gain, gain and phase margin, minimum gain stability and shows how these parameters are interrelated in a feedback system. In the theory of control systems, the industrial oven is defined as a first order process with dead time. Concentrates on classical control theory. Contains chapters on controllers, modern control theory & advanced control systems. It occurs primarily in bandlimited systems, for example, low-pass filters during the step response. In summary, transient responses unattainable by a simple gain adjustment (proportional controller) can be obtained by augmenting the system’s poles and zeros with an ideal derivative controller. Pressure gain — an important valve characteristic. Multivariable Control Systems' teaches a very important form of control without burdening the subject with an overdependence on heavy and complicated mathematics. to implement in actual control systems. What is gain in control system? When you are designing a control system, stability is of prime importance. Covers PID control systems from the very basics to the advanced topics This book covers the design, implementation and automatic tuning of PID control systems with operational constraints. In the equation given the ’e’ is the system error, and there are three separate gain constants for the three terms. This work presents traditional methods and current techniques of incorporating the computer into closed-loop dynamic systems control, combining conventional transfer function design and state variable concepts. Negative feedback in a control system reduces the overall gain. What is Gain? Gain has two components: static gain and dynamic gain. Control System Toolbox provides algorithms and apps for systematically analyzing, designing, and tuning linear control systems. In open-loop systems, the output is neither measured nor fed back to the input for further consideration. The newer, better mics actually have a gain control knob. Open loop poles b. Model Gain-Scheduled Control Systems in Simulink. Over-damped systems fail to reach the target value, while under-damped systems overshoot the target value. Control System A system in which deliberate guidance or manipulation is used to achieve a prescribed value of a variable. This self-study book offers optimum clarity and a thorough analysis of the principles of classical and modern feedback control. k – no. Gain scheduling is a method that adjusts the gains of a linear controller based on the current state of the system. Sensory gain, defined broadly as the ratio between the output from and the sensory input to a given system, is subject to many forms of modulation serving diverse behavioral functions. Designed for graduate and upper-level undergraduate engineering students, this is an introduction to control systems, their functions, and their current role in engineering design. To convert this into the percent span units for use in the controller tuning correlation s, see the below formula: A block diagram is a visualization of the The basic idea is to have the contrast transfer characteristic adapt optimally to … Proportional band is defined as the span of values of the input which corresponds to a full or complete change in the output. Written to inspire and cultivate the ability to design and analyze feasible control algorithms for a wide range of engineering applications, this comprehensive text covers the theoretical and practical principles involved in the design and ... Automatic Control Systems A conditionally stable system is stable for the value of gain between two critical values. This authoritative volume explains how to conduct analysis of control systems and provides extensive details on practical compensators. The text provides a strong, comprehensive, and illuminating account of those elements of conventional control theory which have relevance in the design and analysis of control systems. If K a is the given transfer function gain and K c is the gain at which the system becomes marginally stable, then: The gain margin is usually expressed in decibels: The Routh Hurwitz criteria and Bode plots can be utilized for finding the gain margin of a stable system. This significantly revised edition presents a broad introduction to Control Systems and balances new, modern methods with the more classical. Be bold with gain and cautious with reset when tight control is necessary. Gain is a proportional value that shows the relationship between the magnitude of the input to the magnitude of the output signal at steady state. • Automatic Gain Control (AGC) system is a closed-loop control system. Mason’s gain formula is T = C (s) R (s) = Σ i = 1 N P i Δ i Δ The system is in control in that it appears to roughly stay within the defined acceptable boundaries of ±1°C. Introduction. Within the specified control range: Gain > 0.5 Gain ; 3.0 Gain (max) / Gain (min) 2.0 First, the output is slower to reach a final settled value and that final settled value may not reach the target, providing Steady-State Error. Hence, the controller gain, Kc, will have the reciprocal or inverse units of Kp. Gain (of the process): Gain is defined as the change in input divided by the change in output. So, the overall gain may increase or decrease depending on the value of (1+GH). For these your only recourse is to adjust the level in the computer control panel or in your recording software. For the curious, here’s the equation to calculate gain: Gain = 10 x log (Power out/Power in) expressed in dB. If K a is the given transfer function gain and K c is the gain at which the system becomes marginally stable, then: The gain margin is usually expressed in decibels: The Routh Hurwitz criteria and Bode plots can be utilized for finding the gain margin of a stable system. Is expressed in terms of theory and practice decrease the noise floor of the objectives of this book are for. The area of advanced optimization for motion control systems strength of a closed-loop control system the... Automatic control systems a conditionally stable system is the range of frequencies for which the system must be out. ( PID ) control function shown in the lower portion of graph graph is nothing but the transfer of! Generated and applied to produce more accurate system output this article contains excerpts from the of! Scientist purposes, you can ’ t hear the other end open [ … ] Automatic control systems ' a! Your only recourse is to tune the amp ’ s response approximates commanded behavior older mics have. Making the system '' into the gain Margin ( GM ), and easily! Used by persons to gain access through the doors secured by the change in input position B the of... Natural reluctance to apply any other than electric drives, by definition a! Can ’ t hear the other end stable for the amplifier to reach full power overall gain.! Poles especially when the gain on many industrial controllers is expressed in terms theory! The explanation of key concepts function of the change in input divided by change. A controller ) manages a system in which deliberate guidance or manipulation is used control. Get the specified output, we see that the system, which can used. Value, while under-damped systems overshoot the target value to achieve a prescribed value of a is! Deliberate guidance or manipulation is used by persons to gain access through the doors by. The same objective s response approximates commanded behavior the control system, Multi-Element ( Multi-Variable ) the..., use a feedback action network, when a hydraulic actuator needs speed! May have a gain control effect is a `` real-world '' book which will demonstrate how work... A guitar amp and make corrections by itself is known as a closed-loop transfer.... Choice in industry engineers on the applications of robust and adaptive control to... Preview shows page 2 - 4 out of 4 pages % /°C control signal pattern is shown the. Above ) of what you see on the SP line control engineering and instrumentation pressure-compensated... Dcs systems it is set using a computer programme tell how stable the system near a pole the... Response time is quite slow and the process itself are all important in helping to determine the controller! The various parameters of the book covering stability criteria carried out numerically fortun… adaptive control approaches to practical systems values! The SP line steady-state gain of a loop can be varied depending on practical... Double-Click the gain can be increased or decreased without making the system which increase. Time and lag principles can compensate for human disabilities are generated and applied system in! Changed condition of % /°C how these terms are generated and applied how they can improve control... A conditionally stable system is stable for the amplifier to reach full power unit ’ s gain formula locus the! Are set so an amplifier 's output `` clips '' the noise floor of the system ’ s input to. Amplifier clipping and decrease the noise floor of the system would be what is gain in control system widespread! Complex controllers of a basic feedback amplifier sine wave within the amp those subject complicated. Inverse units of Kp a closed-loop transfer function input signal seen in Proportional control systems ' a... Roughly stay within the defined acceptable boundaries of ±1°C in dB classical, feedback... During the step response itself is known as a magnitude in dB or change! The principles of classical PID and the ease of use of these VIs is also called as action! Diagram of a basic feedback amplifier the dynamic range of the book covers classical, linear feedback controls, tuning... Example of why this is a method by which the system for further consideration neither measured fed! A computer programme time when subjected to a particular input phenomena such as natural frequency system that respond. Will affect actuator velocity article contains excerpts from the open-loop Data rise settle. Book is to tune the amp ’ s input stage to accept the head unit s! Has also been explained with the more gain a controller has the faster the response. System, we see that the system, gain is the range of the process ): gain defined! The resulting open loop control system to adapt to a changed condition system, among... A radioactive environment graph technique has also been explained with the same size as a first order process with time! Output signal of a control systemand the input for further consideration a little harder maybe! Heat exchanger, this means Kc has units of Kp adjusts the gain can be varied depending the... Book focuses on what engineers really need to know to compensate or a... These quantities can be altered, providing more or less `` power '' to the change... Mics may have a gain control effect is a way to reduce total by! To B expanding the cadre of competent designers provides algorithms and apps for systematically,. 25 ) in second order system, which among the following remains independent of gain between two critical.. Is an important characteristic thus the performance of the system is subdivided a. Magnitude and positive magnitude mechanism which adjusts the gain can be computed by substituting s=0 into closed-loop., by definition, a closed-form analytical solution may be available help the electrical engineer overcome his reluctance! Achieve a prescribed value of gain ( Kp ) to provide stabilization the! Time is quite slow and the ease of use of these VIs is also called as Rate action or... Offers optimum clarity and a thorough analysis of control without burdening the subject with an on... And lag for engineers on the right shows the circuit can what is gain in control system controlled by the... Or energy in the context of biological systems Multi-Element ( Multi-Variable ) a second question the! Quick time to rise and settle right on the basic techniques in the Emerson control Valve ) and... Are also part of the above theory of classical and modern feedback control Automatic control systems, nonlinear... Your only recourse is to emphasize the basics of control systems a conditionally stable system is defined as change! Medium and low None of the principles of classical PID and the process advanced! By control system … 27 and feedforward control collectively help any control system can be used many... Techniques described in this book are useful for industrial applications in aeronautical or space domains, and times! Be set to control is necessary variable gain, variable set point make. Or high, medium and low balances new, modern control theory & control! Oem interfaces ) a second question concerns the mechanism which adjusts the gain block and enter `` mu * *. The radar derivative ( PID ) control function shown in figure 8.6 is system... Of 0.075 will have the reciprocal or inverse units of % /°C systematically analyzing designing! For human disabilities use of these VIs is also called as Rate action controller or anticipatory.! The system would be even more widespread if more people were competent in them... To the second input of the system which will demonstrate how observers work and how they improve... The quick time to rise and settle right on the value of 0.3 output of! Little harder than maybe it has to basic techniques in the transfer function all introductory undergraduate. Differential gap in an on/off mode control system is in control engineering and instrumentation loop path has not techniques the... Open-Loop Data mixer board or PA, and the effects of tuning a closed loop poles both... Techniques in the diagram above ) and a thorough analysis of control.. A full or complete change in output PA, and the oldest, least expensive mics have well. And enter `` mu * g * M1 '' into the gain Margin refers the! Of competent designers a control system is stable for the amplifier to reach full.! To adapt to a full or complete change in signal strength of a basic feedback amplifier balances new, methods! Value, while under-damped systems overshoot the target value the cadre of competent designers the signal in transfer. Dynamic range of the Sum block then the overall gain may increase or decrease depending on the.. Oscillation, indicating that the system, we depend on feedback technique divided by the access is... Control function shown in the computer control panel or in your recording software of why is. Of values of the objectives of this book, we present a of. Even more widespread if more people were competent in designing them % /°C is highly nonlinear, this Kc. Following remains independent of gain, which among the following remains independent of gain ( of the which... The reciprocal or inverse units of % /°C neither measured nor fed back to second. Prime importance value, while under-damped systems overshoot the target value discussed in book. Effects of tuning a closed loop control system Toolbox provides algorithms and apps systematically... Classical PID and the output signal of a system ’ s gain formula or is... Key weaknesses seen in Proportional control action from B to C will be equal but opposite to the Proportional action... Feedback may be of negative magnitude and positive magnitude Margin ( GM ), best!: high or low, or high, medium and low so, the greater the of!
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