8) A certain plant with a transfer function4–2sG(s) =s2+s+9is in a unity positive feedback system with aproportional controller Kp ..determine The value of K, such that theclosed-loop system will have a damping ratio of0.707 is.

In this question we will find proportional controller gain for given damping ratio...

Answered: 8) A certain plant with a transfer…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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last 3 digit of id is: 035 so, x= 035
The state-space of a control system given a: Design the state feedback gain matrix using the direct comparison method. Where the new closed- loop poles are to be placed at s = −2, and s=4. The state feedback gains are: a. 0 1 * = [_₂_²³] [₁²]+] ₁₁ -L-2 x U -3 b. k₁ = 6, k₂ = 3 k₁ = −3, k₂ = −6 k₁ = −10, k₂ = −5 d.k₁ = −5, k₂ = -10
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Suppose that one design specification for a feedback control system requires that the percent overshoot to a step input be less than 10%. The corresponding specification in the frequency domain is Select one: O a. Mp ≤ 0.55 O b. Mp 1.05 C. Mp ≤ 1.27 O d. Mp ≤ 0.59
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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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P1
Consider the unity negative feedback system depicted in the figure below. The design specification requires a location of dominant poles to yield a 1.2 second settling time and an overshoot of 15%. If a compensator with a zero at -0.5 is used to achieve the specification, find the approximate location of compensator pole. K G(s) (s + 5)³ R(s) C(s) G(s)

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8) A certain plant with a transfer function 4-2s G(s) = s2+s+9 is in a unity positive feedback system with a proportional controller Kp .. determine The value of K, such that the closed-loop system will have a damping ratio of 0.707 is