2. For the system that has the loop gain transfer function shown, design a compensator that...
PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 20. c. Evaluate the steady-state error for a unit ramp input to your compensated system. d. Evaluate how much improvement in steady-state error was realized.
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...
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the relationship between the steady-state error to a ramp input and the gain K and system pa- rameter b. For what values of K and b can we guaran- tee that the magnitude of the steady-state error to a ramp input is less than 0.1? E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the...
QUICK UPVOTE: As a control system engineer you have been asked to design a controller that would improve the error and the transient response for the unity feedback system below. The proposed solution must be cost-effective, so consider a passive network-based compensator. The transient response of the closed-loop transfer function to a ramp input has a 30% overshoot (%OS = 30) and a settling time Ts= 2.73 seconds. You need to decrease the peak time by a factor of 2,...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
Question 1 (20 points) As a control system engineer you have been asked to design a controller that would improve the error and the transient response for the unity feedback system below. The proposed solution must be cost-effective, so consider a passive network-based compensator. The transient response of the closed-loop transfer function to a ramp input has a 30% overshoot (%OS = 30) and a settling time Ts= 2.73 seconds. You need to decrease the peak time by a factor...
Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...
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%...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
design a lead compensator For the system with the following open loop transfer function, G(S) (05s+1 Design a lead compensator so that the velocity error constant 20 sec and the phase margin is at least 50° For the system with the following open loop transfer function, G(S) (05s+1 Design a lead compensator so that the velocity error constant 20 sec and the phase margin is at least 50°