Download Linear Control System Analysis and Design: Fifth Edition, by Constantine H. Houpis PDF

By Constantine H. Houpis

Completely classroom-tested and confirmed to be a necessary self-study spouse, Linear keep an eye on approach research and layout: 5th Edition makes use of in-depth factors, diagrams, calculations, and tables, to supply a radical assessment of recent keep watch over concept and standard regulate approach layout. The authors maintain the maths to a minimal whereas stressing real-world engineering demanding situations.

Completely up to date and choked with student-friendly good points, the Fifth Edition offers quite a lot of examples utilizing MATLAB® and TOTAL-PC, in addition to an appendix directory MATLAB capabilities for optimizing keep an eye on approach research and layout. 80 percentage of the issues provided within the earlier version were revised to additional make stronger thoughts priceless for present electric, aeronautical, astronautical, and mechanical functions

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Extra resources for Linear Control System Analysis and Design: Fifth Edition, Revised and Expanded

Example text

For each of the following cases, determine the range of values of K for which the response c(t) is stable, where the driving function is a step function. Determine the roots on the imaginary axis that yield sustained oscillations. ðaÞ CðsÞ ¼ ðbÞ CðsÞ ¼ K s½sðs þ 2Þðs þ 4s þ 20Þ þ KŠ 2 s½s 2 ðs 2 Kðs þ 1Þ þ 3s þ 2Þ þ Kðs þ 0:1ފ ðcÞ CðsÞ ¼ 20K s½sðs þ 1Þðs þ 5Þ þ 20KŠ ðdÞ CðsÞ ¼ Kðs þ 5Þ s½sðs þ 1Þðs þ 2Þðs þ 3Þ þ Kðs þ 5ފ ðeÞ Copyright © 2003 Marcel Dekker, Inc. For Prob. 3. 4. 5. s5 þ 10s4 þ 50s 3 þ 140s2 þ 209s þ 130 ¼ 0 Use Routh’s criterion to determine the number of roots in the right-half s plane for the equations of Prob.

6. (c) Add a lead compensator that cancels the pole at s ¼ À 1. (d ) Add a lead compensator that cancels the pole at s ¼ À2. Determine K. (e) Compare the results of parts (c) and (d ). Establish a ‘‘rule’’ for adding a lead compensator to a Type 0 system. 9. For the system of Prob. 5. (a) Design a compensator that will achieve these characteristics. (b) Determine c(t) with a unit step input. (c) Are the desired complex roots dominant? (d ) Compare the results of the basic system for the same value of z with those of the compensated system.

3 may produce the desired improvement (see Sec. 3). 6. 5s. Is it a lag or lead compensator? (b) Using the cascade compensator, determine the control ratio C(s)/R(s). (c) Find c(t) for a step input. What is the effect of the real pole of C(s)/R(s) on the transient response? Using the root-locus plot of Prob. 5 for the dominant roots of the system. , will move the dominant branch to the left in the s plane. A unity-feedback system has the transfer function Gx(s). 707 and Ts ¼ 2 s. A suggested compensator Gc(s) must maintain the same degree as the characteristic equation for the basic system: Kðs þ 6Þ Aðs þ aÞ Gc ðsÞ ¼ Gx ðsÞ ¼ sðs þ 4Þ sþb (a) Determine the values of a and b.

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