#4 (4 pts. ) Transfer function of a controller is given as G. = (-As +...
4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1) (s1) (2s + 1) Design a compensator such that the static position error constant, Kp 9 and the phase margin is at least 25°. 4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1) (s1) (2s + 1) Design a compensator such that the static position error constant, Kp 9 and the phase margin is at least 25°.
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....
urgent! II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator that satisfies the following specifications must by the compensated system 1. The steady-state error for a unit ramp input must be 0.002; 2. The compensated phase margin must be approximately 48; must be approximately 25 rad/sec. II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s...
Given the transfer function 1.9 G(s)- (40) 6s3 65s240s and the proportional controller (41) Determine the transfer function Fu(s) of a lead-lag compensator that statesfies the specifications F,(s) = 6.777 below. Motivate the choice of parameters TD'ß,T1 and γ I. The overshoot should be less than 5% (same as before) 2. The closed loop system should be four times faster than what was possible with proportional control 3. The control signal should satsify lu(t)| < thnaz for all t, where...
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
A linear system is described by the transfer function G(o) Determine the location of the pole in a minimum-beta lead compensator design for this system 10 which will yield a phase margin of 65.5 degrees at a magnitude crossover of 5.4 rad/sec. A linear system is described by the transfer function G(o) Determine the location of the pole in a minimum-beta lead compensator design for this system 10 which will yield a phase margin of 65.5 degrees at a magnitude...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch the bode diagram for G. 2. Knowing that a proportional controller with gain 1000 in a unity feedback loop with G results in an unstable system, what are the phase and gain margins of G? 3. Design a proportional controller that achieves a gain margin of 40dB. gain of 10dB at 0.01rad/s and a gain margin 4. Design that is infinity. compensator that results...
Question 1 (60 points) Consider the following block diagram where G(s)- Controller R(s) G(s) (a) Sketch the root locus assuming a proportional controller is used. [25 points] (b) Design specifications require a closed-loop pole at (-3+j1). Design a lead compensator to make sure the root locus goes through this point. For the design, pick the pole of the compensator at-23 and analytically find its zero. (Hint: Lead compensator transfer function will be Ge (s)$+23 First plot the poles and zeros...
Question 6 Consider the system shown in Figure 4. The open-loop transfer function is given by G() = - 2 (3+1)(0.59+1) Figure 4 Control diagram for Question 6 With the help of Matlab, design a compensator ab, design a compensator so that the static velocity error constant Kv is 5 sec, the phase margin is at least 45°, and the gain margin is at least 10 dB. [20]