Consider a plant with transfer function 5- Gp(s) = s2 Design a proper compensator Gc(s) and a gain p for the feedback system shown below so that the resulting system has all poles at s=-2, and the ou...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of Gp(s) if it is desired that the uncompensated system has a 10% OS (overshoot) to a step input. (4 points) a 5% overshoot and a peak time Tp 3.1 meets the requirements described in part (b) and achieves zero steady state (b) Compute the desired...
Compensator Plant 100 R(s) sta Y(s) For the unity feedback system shown in Fig. 3.55, specify the gain and pole location of the compensator so that the overall closed-loop response to a unit- step input has an overshoot of no more than 30%, and a 2% settling time of no more than 0.2 sec. Verify your design using Matlab. 3.27 Compensator Plant 100 R(s) sta Y(s) For the unity feedback system shown in Fig. 3.55, specify the gain and pole...
Given the system above, determine the gain K for a lead/lag compensator so the system meets the desired responses: Settles at about 2 seconds Has a percent overshoot of about 33% The plant has a transfer function of: Gp = (s+18) / ( (s+1)*(s+8) ) Assume that the pole of the lead/lag compensator has a pole at s = -5. 1 Gc(S) Gp(S) R(s) Y(S) Given the system above, determine the gain K for a lead/lag compensator so the system...
Given the system above, determine the gain K for a lead/lag compensator so the system meets the desired responses: Settles at about 2 seconds Has a percent overshoot of about 33% The plant has a transfer function of: Gp = (s+18) / ( (s+1)*(s+8) ) Assume that the pole of the lead/lag compensator has a pole at s = -5. 1 Gc(s) R(S) Gp(s) Y(S) Given the system above, determine the gain K for a lead/lag compensator so the system...
2. For the system that has the loop gain transfer function shown, design a compensator that will improve the steady-state error to a unit ramp input by a factor of exactly 50 for a unity feedback system 30 G(8) s(s+1)(8 +3X8 +5) Validate your design, showing the responses using MATLAB
For the given system above, determine the gain K that will give the system desired response below: Settling time of 5 seconds Peak time of 0.5 seconds The given plant has a transfer function of: Gp = (s + 4)/( (s + 1)*(s + 3) ) The controller has a transfer function of: Gc = (s+27.75)/s QUESTION 2 10 points Save Answer Y(S) R(s) Gc(s) Gp(s) For the given system above, determine the gain K that will give the system...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlled with a unity-feedback system shown below, R(s) + Where Ge is the controller transfer function 3. Lead/Lag Compensator (a) Design a compensator such that the settling time of the compensated system T < 0.02 sec (Use 5% definition), and maximum overshoot of the compensated system is Mp 20%. Clearly explain all your steps. (b) Build a simulink model and use the compensator you designed above....
Y(S) Gp(s) Gc(s) R(S) For the given system above, determine the gain K that will give the system desired response below . Settling time of 2 seconds . Peak time of 0.5 seconds . The given plant has a transfer function of: Gp - (s +8V( (s +6'(s+4) The controller has a transfer function of: Gc (s+33.7392Vs Y(S) Gp(s) Gc(s) R(S) For the given system above, determine the gain K that will give the system desired response below . Settling...
Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 225 270 101 10 Frequency (rad/s) 102 a. Looking at the low frequency behavior, determine its number of poles at origin. Explain. b. Looking at the high frequency behavior, determine the number of excess poles. Explain. C....
A uncompensated (un-controlled) feedback system with and plant transfer function are shown below. Design a PI controller that you could add that will drive the steady-state error to zero for a unity step reference, and operate with a damping ratio of 0.5. Provide the resulting %OS, and 2% settling time. You must show the analytical process and all steps you took to design your controller. Use MATLAB/Simulink to simulate the system and your feed-back controller for a unity step input...