ISBN-10:
0906048966
ISBN-13:
9780906048962
Pub. Date:
01/01/1983
Publisher:
Institution of Engineering and Technology (IET)
Essentials of Nonlinear Control Theory

Essentials of Nonlinear Control Theory

by J.R. Leigh

Hardcover

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Product Details

ISBN-13: 9780906048962
Publisher: Institution of Engineering and Technology (IET)
Publication date: 01/01/1983
Series: Control, Robotics and Sensors Series
Pages: 104
Product dimensions: 6.14(w) x 9.21(h) x (d)

About the Author

Professor J.R. Leigh was educated at Sheffield City Grammar School and at Cambridge and London Universities from which he holds higher degrees in both Control Engineering and Pure Mathematics. He has worked in both small and large organisations on the development and application of control systems. Previous posts include Senior Systems Engineer - United Steel Companies, and Head, Control Systems Section - British Steel Corporation Engineering Laboratory. In his current appointment at the Polytechnic of Central London, his research and teaching interests are centred around the modelling and computer control of industrial processes. Among his recent publications are the books, 'Functional Analysis and Linear Control Theory' (Academic Press, 1980), and 'Applied Control Theory' (IEE Control Engineering Series, Number 18, 1982). He is a Fellow of the Institution of Electrical Engineers and a Member of its Computing and Control Divisional Board. He is a Fellow of the Institute of Mathematics and its Applications and a Member of the London Mathematical Society.

Table of Contents

  • 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: Liénard's equation
  • Chapter 11: Gradient systems and system decomposition

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