Principles of linear systems

Description

State-space methods form the basis of modern control theory. This textbook is devoted to a description of these methods in the analysis of linear multi-input, multi-output dynamic systems. Following a chapter that sets out the basic concepts and definitions, the author discusses state equations of finite dimensional systems and their solution. He then presents the principles of time-domain and frequency-domain analysis, and the properties and applications of the Z-transformation. Separate chapters deal with the controllability, observability, and stability of linear systems. The appendix offers a useful tutorial review of the key results from matrix theory and linear algebra. The book includes several worked examples, and there are problems at the end of each chapter. It will be of great use to advanced undergraduate and graduate students of electrical or mechanical engineering taking courses in linear systems or control systems State-space methods form the basis of modern control theory. This textbook is devoted to a description of these methods in the analysis of linear multiple-input, multiple-output dynamics systems. Throughout, continuous-time and discrete-time systems are treated in parallel, as are time-varying and classical time-invariant systems, thereby highlighting their similarities and differences.Following a chapter, which sets out the basic concepts and definitions, state equations of finite dimensional systems and their solutions, are discussed in detail. The principles of time-domain and frequency-domain analysis are then presented, as are the properties and applications of the Z-transformation. One chapter deals with the controllability and observability of linear systems and a separate chapter discusses stability. A useful tutorial review of the key results from matrix theory and linear algebra is given in the Appendix.In addition to illustrative examples, which are worked out in detail, numerous problems are available at the end of each chapter. The book will be of great value to graduate students of aeronautical, electrical, and mechanical engineering, or anyone who wants to acquire a solid background in the fundamentals of linear systems and modern control systems.  Read more... 1. Basic concepts, terms, and definitions -- 2. State equations of finite dimensional linear systems -- 3. Principles of time-domain analysis -- 4. Solution of the dynamic state equations -- 5. Frequency-domain analysis for fixed analog systems: application of the Laplace transform -- 6. The Z-transformation of discrete-time signals -- 7. Frequency-domain analysis of discrete systems and application of Z-transforms -- 8. Controllability and observability of linear systems -- 9. Stability of linear systems -- Appendix. Review of matrix theory