Problem 1 (6.25 points): For Gc(s)- (S+Ziag/(s+Piag) and the system transfer function given below...
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...
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) =...
Design Problems: (1) A robotic system is described by the transfer function P(s)=- 100 s(s +9.7)(s + 51.2) Use the root locus method to design a lead controller that achieves a closed-loop step response with P.0.5 2.5 %, and a settling time T, < 0.25s (using the 2% criterion). Also, the steady-state error to a unit ramp should be ess < 0.15. (2) This system is open-loop unstable: P(S) = 500 (5 - 1)(s + 10) Using the root locus...
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...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
i am needing help with a b c o chris question thanks
1000 O(s) Gc(s) s(s2 110s 1250) Figure 2: Disc Drive System Block Diagram We will now try to design a compensator with the requirements that Overshoot 10% ii. Ts S 100ms II. eramp(oo) s 0.001 Do the following (you may use MATLAB at your leisure, but be sure to explain your logic for your design choices) a) Use MATLAB to draw the root locus when Gc K. Augment...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
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%...
Problem (2) The open loop transfer function of a feedback system is given by к H (s) = 10 G(s) = ------ - s (s +1) (0.2 s+ 1) Design a controller such that the closed loop system will have a settling time less than 1.0 sec. and a percentage overshoot (PO) less than 5%. Draw the root locus plots of the uncompensated and compensated systems using Matlab.
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...