R(s) U(s) Y(s) Da (s) Gpi (s) E(s) H(s) Given a system as in the diagram above to solve the problems: Assume we want the closed-loop system rise time to be t, <0.18 sec 1 s+z De(s) = K - s+p' Gp1(s) = H(s) = 1 s(s + 3) a) Assume W(s)=0. Draw the root locus of the system assuming compensator consists only of the adjustable gain parameter K, i.e. Da(s) = K b) Determine the approximate range of values of K for which this is true (using the textbook approximation for rise-time. What is the minimum overshoot (maximum damping factor) you can achieve with the P-type control? c) Choose K to satisfy the rise-time requirement and plot the time-domain response of the closed- loop system to the unit step-input reference signal. What is the settling-time equal to?

R(s) U(s) Y(s) Da (s) Gpi (s) E(s) H(s) Given a system as in the diagram above to solve the problems: Assume we want the closed-loop system rise time to be t, <0.18 sec 1 s+z De(s) = K - s+p' Gp1(s) = H(s) = 1 s(s + 3) a) Assume W(s)=0. Draw the root locus of the system assuming compensator consists only of the adjustable gain parameter K, i.e. Da(s) = K b) Determine the approximate range of values of K for which this is true (using the textbook approximation for rise-time. What is the minimum overshoot (maximum damping factor) you can achieve with the P-type control? c) Choose K to satisfy the rise-time requirement and plot the time-domain response of the closed- loop system to the unit step-input reference signal. What is the settling-time equal to?

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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