Problem 2: The following is the open-loop transfer function for a unity- feedback discrete system with a sample period of T = 0.01s. Sketch the root-locus for this system. Be sure to also find the closed-loop transfer function and the range of K for stability using the Routh-Hurwitz criterion. Hint: The root locus will be sketched in the z-domain, but the system must be converted into the w-domain to use the Routh-Hurwitz criterion. K(z+0.8) (z – 1)(z – 0.6) G(2) =

Problem 2: The following is the open-loop transfer function for a unity- feedback discrete system with a sample period of T = 0.01s. Sketch the root-locus for this system. Be sure to also find the closed-loop transfer function and the range of K for stability using the Routh-Hurwitz criterion. Hint: The root locus will be sketched in the z-domain, but the system must be converted into the w-domain to use the Routh-Hurwitz criterion. K(z+0.8) (z – 1)(z – 0.6) G(2) =

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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Copy the control system shown in Figure Q2 into your answer book, labelling the actual output, control signal, desired output, plant, feedback and error signal. Q2 (a) 2 Σ K+ K, (s+1)(s+2) Figure Q2 (b) Determine the closed-loop transfer function for the system shown in Figure Q2 and hence obtain the characteristic equation for the system. Using Routh 's stability criterion, find the range of the controller gains (K, Ki) for which this system is stable. (c) For the system shown in Figure Q2, find the frequency, jo, and gain, Kı, for which the root locus crosses the imaginary axis (assume K = 1). (d) (e) What would you expect to see for the frequency, calculated in part (d), when you decrease K below 1.
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Q- AN AMPLIFIER HAS A OPEN LOOP VOLTAGE GAIN OF -500. THIS GAIN IS REDUCED TO -100 WHEN NEGATIVE FEEDBACK IS APPLIED. FIND THE REVERSE TRANSMISSION FACTOR,6 OF THIS SYSTEM.
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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)