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 outp...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control. A unity feedback system with the forward transfer function G)2)(s +5) is operating with...
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control. A unity feedback system with the forward transfer function G (s) =...
Control system 2. You are given the motor whose transfer function is shown in Figure 2(a). s) e(s) Amplifier Motor C(s) 15 Tachometer Кр Figure 2 a) If this motor were the forward transfer function of a unity feedback system, calculate the percent overshoot and settling time that could be expected. b) You want to improve the closed-loop response. Since the motor constants cannot be changed and you cannot use a different motor, an amplifier and tachometer are inserted into...
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...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
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...
K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Select the values of K and a to achieve a) (i) Peak overshoot of about 20% (ii) Settling time (2% bases) ~ 1 sec b) For the values of K and a found in part (a), calculate the unit ramp input steady state error K and consider a PI s+4 A unity feedback system has an open loop...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
Q1. A closed-loop transfer function is G(s) Yo.108(s+3) els> ) Determine the steady-state error for a unit step imput R(s)-14s Error signal is E(s) - R(s)-Y(s). Assume that the complex of the final value. ii) poles dominate and determine the overshoot and settling time to within 2% Q1. A closed-loop transfer function is G(s) Yo.108(s+3) els> ) Determine the steady-state error for a unit step imput R(s)-14s Error signal is E(s) - R(s)-Y(s). Assume that the complex of the final...
please solve as matlab code. The system in Figure 3 comprises a motor and a contoller. The performance requirements entail a steady state error for ramp input r(t) Ct, smaller than 0.01C. Here, C is a constant. The overshoot for step input must be such that P.0. 5% and the settling time with a 2% error should be T, 2 seconds (a) Based on rlocus function, write a piece of MATLAB code which establishes the controller. (b) Create the graph...