Q/ Given a unity feedback system that has the forward transfer function, Sketch the root locus and:a. Find the imaginary-axis crossing.b. Find the gain K and w, where the system become unstable.c. Find the break-in point. (if there is any)G(s)K(s+3)(S2-4s +17)d. Find the angle of departure from the complex poles. (if there is any)

Step 1:Root locus diagram sketch Step 2: Calculation of Imaginary axis crossing , Gain K&w for…

Answered: Q/ Given a unity feedback system that…

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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Problem 8. For the feedback control system given in the figure on the right, R(s) (a) Find the closed-loop transfer function, C(s)/R(s). (b) Determine the system's stability range for gain Kusing Routh-Hurwitz criterion. K 1 s(s+ 2)(s + 5) S C(s) (c) What is the type of the system? (Hint: you need to convert the system to a simple unity feedback.) (d) Sketch the root-locus in Matlab (hint: you need to use the open-loop transfer function with K = 1) and validate the stability region you found in (b (e) Plot the step responses up to 10 seconds for the input of 1.5u(t) when the gain K = 22 and has the value that makes the system marginally stable on the same plane. (f) Calculate the steady-state error for the input step of 1.5u(t) for K = 22. Confirm the result with the related plot you obtained in (e). (g) Calculate the steady-state error now for an input ramp of 1.5tu(t) for K = 22 and plot this response together with the input function up to 10 seconds in order to indicate the…
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3-Discuss the effect of negative feedback on the frequency response
10- A unity feedback system has open-loop transfer function G(s)=2/ (S+4), the ratio of time constants of open-loop to closed loop response will be: a- 1:1 b-2:1 c- 3:2 d-2:3 11-First column elements of the Routh's tabulation are 3, 5,-0.75, 0.5,2. It means that there: a- is one root in the left half of s-plane b- are two roots in the left half of s-plane c- are two roots in the right half of s-plane d- is one root in the right half of s-plane 12-An effect of phase-lag compensation on system performance is that: a-for a given relative stability, the velocity error constant is increased b- for a given relative stability, the velocity error constant is decreased c- the bandwidth of the system is increased d- the time response is made faster 13-The phase lead compensation is used to: a- increase rise time and decrease overshoot b- decrease both rise time and overshoot c- increase both rise time and overshoot d-decrease rise time and increase overshoot 14-When phase-lag compensation is…
Q.2) For the below unity feedback system shown in figure a, M(s) is added (as shown in figure b) to make an error at the steady-state to be zero, if you know that the input R(s) is a a- Unit step b- Unit ramp c- Unit-parabolic Evaluate M(s) which perform the mentioned function? R(s) G(s) C(s) R(s) G(s)H M(s) C(s) (а) (b)
Q.2) For the below unity feedback system shown in figure a, M(s) is added (as shown in figure b) to make an error at the steady-state to be zero, if you know that the input R(s) is a a- Unit step b- Unit ramp c- Unit-parabolic Evaluate M(s) which perform the mentioned function? R(s) G(s) C(s) R(s) G(s) E M(s) C(s) (a) (b)
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