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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...
Compensator Plant 100 R(s) sta Y(s) For the unity feedback system shown in Fig. 3.55, specify the gain and pole location of the compensator so that the overall closed-loop response to a unit- step input has an overshoot of no more than 30%, and a 2% settling time of no more than 0.2 sec. Verify your design using Matlab. 3.27
Compensator Plant 100 R(s) sta Y(s)
For the unity feedback system shown in Fig. 3.55, specify the gain and pole...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem 4) (25 points) Consider the same unity feedback control system given in Figure P3 and do the following: a. Determine the system type (type 0, type 1, type 2, etc.) and justify it. (05 points) b. Suppose that 10% maximum overshoot is required as a transient response specification. Find the steady-state error for this P-controlled system, where K = 0.24 for a unit step...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
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Given the following open loop plant: 48 G(s) s +2) (s+4)(s +6) (a) Design a state feedback controller to yield a 20% overshoot and a settling time of 1 second (2%). Place the third pole 10 times farther from the imaginary axis than the dominant pole pair (b) Determine the pre-filter constant N needed to reduce the steady-state error to a unit step input for the closed-loop system. (c)...
1 - Consider the system shown in the figure below, #1 25 Ks a) Determine the value of k that yields a damping ratio ? of 0.6 b) Based on the numerical value found for k in part (a) of the problem, determine (10 points) the open-loop gain and the system's type. Determine the steady-state errors for the system when it is subjected to (6 points) c) 1. a step reference input, r()-A 2. a ramp reference input, r()-t (6...
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) =...
For the closed-loop system shown, and given: C(s) 8.41 s+8.10 G(8 2 0.02 3.00 2out G(s) C(s) control plant Part A-Plant 1% settling time Find the 1% settling time of the plant G(s) to a unit step input. 15.38 t,3% - Submit X ncorrect; Try Again - Part B Plant: Overshoot Find the overshoot of the plant G(s)to a unit step input. Give your answer as a percentage Mp: | Value Units Submit Request Answer Part C - Closed-loop system:...
Example 3.3.1 A control system shown in following Figure G(s)=(s+1) C(s) N(s) E(s) G,(S) R(s) S G2(s) 100 G2(s)= s(s+10) H(s) H(s) 1 1. If n(t) 0, r(t)=5+2t+10t?, make e 0.1, k-? 2. If n(t)=t, r(t)=5+2t+10t2, k=1, e=? sS I ess0.1, k=?. Question14 A control system shown in following Figure, obtain the steady-state error transfer function E(s)/N(s). N(s) E(S) GS C(S) G.(S) R(s) H(s) Question12 Obtain both analytically and computationally the rise time, peak time, maximum overshoot, and settling time...
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...