7. Consider the following closed-loop system in which G(s5 Design a lag compensator, Ge( steady-s...
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that the phase-margin is 45o, gain margin is not less than 8dB, and the static velocity error constant Ky is 4.0 sec1. Plot unit-step and unit-ramp response curves of the compensated system with MATLAB.
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...
urgent!! II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that: 1. The steady- state error with respect to a unit ramp input is no more than 0.01; 2. Phase margin is approximately 40 II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that:...
Problem 30 (15 points) Consider the closed-loop sampled-data system in Figure 6 that uses a sample period of 600 ms. The pulse transfer function of the continuous-time plant is Ge)- 0.04147 z-0.7408 while Ge(2) is the transfer function of a discrete-time compensator. E(Z)G.(2) Figure 6: Closed-loop sampled-data system with compensator Ge() I. (5 points) Is it possible to achieve a steady-sate error ess- 0.05 for a unit-step input r(k) = uo(k) using proportional feedback Ga(z) = K? If yes, derive...
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...
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
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 Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that: 1. The steady- state error with respect to a unit ramp input is no more than 0.01; 2. Phase margin is approximately 40
Y(s) C(s) G(s) R(S) Figure 1: Closed-loop system Q2 Consider the setup in Figure 1 with S s1 (i) Design a K,τ, α in the lead compensator 1TOS so that the closed-loop system shown in Figure 1 has a steady state error of.0 for a unit ramp reference input at R and a phase margin of about 45 degrees K, α, τ without Bode plots. When you add phase with the lead compensator add an additional 10 degrees of phase....
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°