Model Based Control of Nonlinear and Linear Plants

  • Stephen J. Dodds
Part of the Advanced Textbooks in Control and Signal Processing book series (C&SP)

Abstract

First, the focus is on the control of nonlinear plants. This commences with traditional linearisation about the operating point, which enables linear control system design provided the plant states are restricted to lie in the region of the operating point. This is followed by feedback linearising control, which removes the operating point restriction and is applicable to multivariable as well as single input, single output plants.

The underlying principle of feedback linearising control, which forces the closed-loop system to obey a prescribed differential equation, is extended in two directions. First, feedback linearising control is applied to linear plants, which is found to be straightforward for multivariable plants. This is further extended to the discrete domain. Second, the prescribed closed-loop differential equation is allowed to be nonlinear, catering for control strategies such as near time-optimal control. In both these cases, the title, feedback linearising control, is replaced by the more appropriate title, forced dynamic control.

References

  1. 1.
    Vittek J, Dodds SJ (2003) Forced dynamics control of electric drives. University of Zilina Press, Zilina, Slovakia. ISBN 80-8070-087-7Google Scholar
  2. 2.
    Isidori A (1995) Nonlinear control systems, 3rd edn. Springer-Verlag, London. ISBN 3-540-19916-0Google Scholar
  3. 3.
    Albertos P, Sala A (2004) Multivariable control systems. Springer-Verlag, London. ISBN 978-1-85233-843-5Google Scholar
  4. 4.
    McLean D (1990) Automatic flight control systems. Prentice Hall International (UK) Ltd, Hemel Hempstead, Hertfordshire. ISBN 0-13-054008-0Google Scholar

Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  • Stephen J. Dodds
    • 1
  1. 1.School of Architecture, Computing and EngineeringUniversity of East LondonLondonUK

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