Q1(a)The characteristic equation of a general nth order system is given byq(s) = s" + a1s"-1 + a2s"-2 + .. + an-2s² + an-1s + anUsing the Routh-Hurwitz criterion, derive conditions for stability of a generali) first-order system,ii) second-order systemiii) third-order systemin terms of the coefficients a1, a2, ... an.(b)The transfer function of a system is given byG(s) =s2 + 10s + 30Calculate the response of this system to a unit impulse input.(c)Consider an open loop transfer function of the form K G(s). Briefly describethree different methods which can be used to determine the values of K forwhich the closed loop system remains stable.(d)Consider the open-loop transfer function G(s) = What is meant by thes+1frequency response of G(s)? Sketch a Nyquist plot and a Bode plot of thefrequency response of this function.

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Q1 (a) The characteristic equation of a general nth order system is given by q(s) = s" + a,s"-1 + a2s"-2 + ... + an-2s² + an-1s + an Using the Routh-Hurwitz criterion, derive conditions for stability of a general i) first-order system, ii) second-order system iii) third-order system in terms of the coefficients a1, a2, ... An.

Q1 (a) The characteristic equation of a general nth order system is given by q(s) = s" + a,s"-1 + a2s"-2 + ... + an-2s² + an-1s + an Using the Routh-Hurwitz criterion, derive conditions for stability of a general i) first-order system, ii) second-order system iii) third-order system in terms of the coefficients a1, a2, ... An.

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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