Linear Multivariable Control Systems

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Shankar P. Bhattacharyya (Texas A & M University) Lee H. Keel (Tennessee State University)

Linear Multivariable Control Systems

Shankar P. Bhattacharyya (Texas A & M University), Lee H. Keel (Tennessee State University)

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English

Cambridge University Press
13 January 2022

Optimisation; Technical design; Robotics; Aerospace & aviation technology

This rigorous yet accessible textbook provides broad and systematic coverage of linear multivariable control systems, including several new approaches to design. In addition to standard state space theory, it provides a new measurement-based approach to linear systems, including a generalization of Thevenin's Theorem, a new single-input single-output approach to multivariable control, and analytical design of PID controllers developed by the authors. Each result is rigorously proved and combined with specific control systems applications, such as the servomechanism problem, the fragility of high order controllers, multivariable control, and PID controllers. Illustrative examples solved using MATLAB and SIMULINK, with easily reusable programming scripts, are included throughout. Numerous end-of-chapter homework problems enhance understanding. Based on course-tested material, this textbook is ideal for a single or two-semester graduate course on linear multivariable control systems in aerospace, chemical, electrical and mechanical engineering.

By: Shankar P. Bhattacharyya (Texas A & M University), Lee H. Keel (Tennessee State University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Edition: New edition
Dimensions: Height: 251mm, Width: 178mm, Spine: 37mm
Weight: 1.400kg
ISBN: 9781108841689
ISBN 10: 1108841686
Pages: 600
Publication Date: 13 January 2022
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Preface; 1. A measurement-based approach to linear systems; 2. Classical control theory: a brief overview; 3. The [A,B,C,D] state variable model; 4. Modal structure of state space systems; 5. Controllability, observability and realization theory; 6. State feedback, observers and regulators; 7. The optimal linear quadratic regulator; 8. H¥ and H2 optimal control; 9. The linear multivariable servomechanism; 10. Robustness and fragility of control systems; 11. Analytical design of PID controllers; 12. Multivariable control using single input single output methods; Appendix; References; Index.

Shankar P. Bhattacharyya is a professor of Electrical Engineering at Texas A&M University. He is a Fellow of the IEEE and IFAC, and a Foreign Member of The Brazilian Academy of Sciences and The Brazilian National Academy of Engineering. His contributions to control theory include the first solution of the multivariable servomechanism problem, an algorithm for eigenvalue assignment, robustness and fragility, and a modern analytical approach to the design of PID controllers. Lee H. Keel is a professor of Electrical and Computer Engineering at Tennessee State University. His areas of expertise include linear systems, parametric robust control, computational methods, and control applications.

Reviews for Linear Multivariable Control Systems

'High standards of linear control were established in the 1960s in pioneering works by R. Bellman, R. Kalman, and L. Pontryagin. However, this field of research remains active and is permanently enriched with new results and new applications, as the book by S. P. Bhattacharyya and L. H. Keel vividly demonstrates.' Boris Polyak, IFAC Fellow, Institute for Control Science, Moscow 'One of the most valuable features of this book is that it integrates the pillars of control theory with recent advancements, resulting in an up-to-date treatment of the topic.' Antonio Visioli, University of Brescia