Linear Multivariable Control Systems

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.

'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

• 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.