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Multiobjective controller synthesis via eigenstructure assignment with state feedback

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  • Zhao Li
  • James Lam

Abstract

A general parameter scheme for multiobjective controller synthesis via eigenstructure assignment with state feedback is proposed. The scheme provides total pole configurability, that is, pole assignment constraints, partial pole assignment constraints, generalised regional pole assignment constraints can be dealt with simultaneously without introducing essential conservatism. The scheme is derived from the pole assignment approach using Sylvester equations, and the parameter space is the Cartesian product of some subspaces characterising the free parameters. Under the scheme, the controller design problems are formulated as nonlinear optimisation problems with both objectives and constraints being differentiable and can be solved by derivative-based nonlinear programming technique. Numerical examples are given to illustrate the efficiency of the proposed method.

Suggested Citation

  • Zhao Li & James Lam, 2016. "Multiobjective controller synthesis via eigenstructure assignment with state feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(13), pages 3219-3231, October.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3219-3231
    DOI: 10.1080/00207721.2015.1112444
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