Linear Multivariable Control Systems

A graduate text providing broad coverage of linear multivariable control systems, including several new results and recent approaches.

Shankar P. Bhattacharyya (Author), Lee H. Keel (Author)

9781108841689, Cambridge University Press

Hardback, published 13 January 2022

600 pages
25.1 x 17.8 x 3.7 cm, 1.4 kg

'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

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.

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.

Subject Areas: Aerospace & aviation technology [TRP], Robotics [TJFM1], Technical design [TBD], Optimization [PBU]