Essentials of Non-linear Control Theory

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Author(s): J. R. Leigh 1
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Publication Year: 1983

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.

Inspec keywords: nonlinear dynamical systems; nonlinear control systems; gradient methods; limit cycles; describing functions; linearisation techniques

Other keywords: system decomposition; envelope methods; nonlinearity; phase plane portrait; nonlinear second-order system linearisation; relaxation oscillations; Limit cycles; gradient systems; Lienard's equation; dynamic systems; describing function method

Subjects: Nonlinear control systems; Control system analysis and synthesis methods; Stability in control theory

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