Frequency response data for an \"unknown\" open-loop system is shown in the figu
ID: 3574068 • Letter: F
Question
Frequency response data for an "unknown" open-loop system is shown in the figure below. Assume that a steady-state error analysis has been performed, and that it has been determined that a dc gain of 100 is necessary for the compensated system to behave "satisfactorily" as far as the steady state response is concerned. (a) Estimate the open-loop transfer function of this system. (Specify the transfer function.) (b) Specify the value of gain necessary to fix the steady state error (by making the dc gain equal to 100). (c) Using the gain from part (b) as part of the system, design a phase-lag compensator that will give a stable closed-loop system with a phase margin of 45 degree. (This will require you to use estimates of the gain, phase, and frequency from the plot.) You are encouraged to use MATLAB to verify that your compensator from pail (b) will result in the desired phase margin. (There are different ways that you can demonstrate this. Feel free to use whichever you desire, but explain your technique.)Explanation / Answer
Hii there
Check this hint
L = getLoopTransfer(T,Locations)
L = getLoopTransfer(T,Locations,sign)
L = getLoopTransfer(T,Locations,sign,openings)
example
L = getLoopTransfer(T,Locations) returns the point-to-point open-loop transfer function of a control system measured at specified analysis points. The point-to-point open-loop transfer function is the open-loop response obtained by injecting signals at the specified locations and measuring the return signals at the same locations.
L = getLoopTransfer(T,Locations,sign) specifies the feedback sign for calculating the open-loop response. The relationship between the closed-loop response T and the open-loop response L is T = feedback(L,1,sign).
L = getLoopTransfer(T,Locations,sign,openings) specifies additional loop-opening locations to open for computing the open-loop response at Locations.
G = tf([1 2],[1 0.2 10]);
C = tunablePID('C','pi');
X = AnalysisPoint('X');
T = feedback(G*X*C,1);
open-loop point-to-point loop transfer at location X:
L = getLoopTransfer(T,'X');
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