3. Given the following open-loop systemG(s) =12(s+2)s(s+7)(s+9)design a feedback controller u = -Kx where K =[K1 K2 K3] to yield a desiredcharacteristic equations3+42s2+225s + 630 = 0(a) Find K1, K2, and K3 using pole placement method.(b) With the designed controller u = -Kx, find the closed-loop system in state-space formulation(c) Find the transfer function of the closed-loop system with the design controlleru = -Kx

In this problem, we need to design a feedback controller using the pole placement method for the…

Answered: 3. Given the following open-loop system…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Do b)
Need help only with parts D and E and no matlab help required, just computation
A feedback system signal flow graph diagram shown in figure below. The number of the forward path is -H2 GA )s(ر مل G3 G7 R1(s)< -1-1 G8 G6 G2 R2(s).
Hello Sir.Good Evening. I have a question in my home work related Control System Lesson. The following below is my question.Please advise, Thank you so much.
Problem 2 onsider the feedback system in Figure B2 C(s) G(s) Figure B2 where 1 C(s) = G(s) = (s+2)(s+3) and k is a positive gain. - Plot the root locus for this particular closed-loop system, and describe how the stability of the system and the transient responses are likely to vary for different ranges of the controller's gain k.
In the feedback system shown in Figure Q3, the controller and the plant have the following transfer functions respectively: (s+4) (s+1)(s+2)(s+3) G.(s) = K>0 and G,(s) = Answer the following for this feedback configuration: a) Calculate the closed-loop transfer function. b) By using the Routh-Hurwitz criterion find the values of the controller gain K such that the closed-loop system is BIBO stable. c) Compute the steady-state error to a unit step reference input as a function of the controller gain K. d) Assume now a PI controller G.(s)=K, 1+ is used instead of the constant gain K. Ts Calculate the steady-state error to a unit step reference input. Is your result in agreement with the "internal model principle"? R(s)+ E(s) Y(s) G.(s) G,(s) Figure Q3: Unity feedback system
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Q2 Figure Q2a shows the block diagram of a control system. (a) Using the block diagram reduction method, determine the closed loop transfer function of the system shown in Figure Q2a. Show all intermediate steps in the reduction process including block diagrams and working. The transfer functions of the blocks in Q2a are as follows: G1(s) = G2(s) = s G3(s) = s? H1(s) = s H2(s) = 2s %3D R(s) C(s) G1(s) G2(s) G3(s) H1(s) H2(s) Figure Q2a
d) Write the poles that will yield the required response (OS =10% and Ts=1.2 sec) for the closed loop system 1 (s+1) (s +2)(s+3)(s+5) Input Output ??? ??? State Feedback and at the same time will reduce the order of the final system to two. % determine the poles of the closed loop system % p2 =
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(b) The unity feedback control system is represented in Figure Q4(b). R(s) E(s) K(s + 13) s(s + 3)(s + 7) C(s) Figure Q4(b) Use the Routh-Hurwitz stability criterion to find the range of K values for which the system is stable.

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