Essentials of nonlinear control theory
著者
書誌事項
Essentials of nonlinear control theory
（IEE topics in control series, 2）
P. Peregrinus on behalf of the Institution of Electrical Engineers, c1983
- pbk.
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注記
Bibliography: p. [86]-88
Includes bibliographical references and index
内容説明・目次
内容説明
The book is concerned with understanding the structure of nonlinear dynamic systems within a control engineering context After a discussion of theoretical foundations, the development moves to specific techniques (describing function method, phase plane portrait, linearisation methods). The treatment then becomes oriented to qualitative analysis and maintains this emphasis to the end of the book. The broad aim is to develop methods that will allow the topology of system behaviour to be visualised. The main tools are Lyapunov methods, extending to include recent work on system decomposition. A bibliography lists both earlier seminal and recent literature to allow the reader to follow up particular aspects.
目次
Chapter 1: Initial orientation
Chapter 2: Dynamic Systems - definitions and notation
Chapter 3: The describing function method
Chapter 4: The phase plane portrait
Chapter 5: Linearisation
Chapter 6: Determination of the qualitative behaviour of a nonlinear second-order system by linearisation (Lyapunov's first method)
Chapter 7: Lyapunov's second or direct method
Chapter 8: Envelope methods - the Popov and circle criteria for graphical analysis of a single feedback loop containing a nonlinear element
Chapter 9: Limit cycles and relaxation oscillations
Chapter 10: Lienard's equation
Chapter 11: Gradient systems and system decomposition
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