(c) [3 marks] For a control system, the error E(s) is given by the following function:...
Question 3 (10 +10+10+15 45 marks) E(s) C(s) R(s) Figure 3: Unity feedback control system for Question 3 For the unity feedback control system shown in Figure 3, 100 G(S) (s+2)(+10) Page 3 of 7 NEE3201 Examination Paper CRICOS Provider No: 00124k a) Determine the phase margin, the gain crossover frequency, the gain margin, the phase crossover frequency of the system when Gc(s)-1, 10 marks) b) Design a proportional controller Gc(s)-K so that a phase margin of 50° is achieved....
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
Question 3 A high quality telescope is represented using a transfer function, shown in Figure 3. It needs to follow a trajectory described by input E(s) exactly in order to track a star. The output C(s) is the angle of the telescope E(s) 7 C) Figure 3: A System expressed as a Transfer Function (a) Convert the system into state space form (b) Find the steady state error when a unity step input is applied. (c) Is your answer to...
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...
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
P4: The car model of a cruise control system is given in the following transfer function block diagram ms + b Where v is the car speed u is the control force m is the mass of the vehicle, 1000 kg b is the damping coefficient, 50 N s/m More details are available here (1) Derive the differential equation relating y(t) to u(t) (2) Determine the time constant of the car dynamics (from u to v) If a proportional feedback...
Problem #7 (10 points) For the feedback control system shown in figure (4), R) I. 2. Determine the steady state error ess when K = 1 Determine the value of K to minimize the steady state error ess R(S) (s +2) 6+5 Figure (4) Problem #8 (10 points) For the feedback control system shown in figure (5, R(s)-ine the range of K such that the absolute value of the steady state error is less than 0.1 R(S) s+K Y(S) Figure...
A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the steady-state error for a unit step input b) Design a PI control to reduce the steady-state error to zero without affecting its transient response c) Evaluate the steady-state error and overshoot for a unit step input to your compensated system A unity feedback system with the forward transfer function G(s) is operating with...
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode plot of open-loop transfer function when K (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) (c) For what input the system will have constant steady-state error (d) for the unit input in item (c) calculate the constant steady-state error.(Use bode plot to calculate the error.) (e) Design a lead...
A5. Find the Transfer function for the closed loop control system given below (5 marks) E(S) R(S) G(S) C(S) B(S) H(S)