Gain-scheduled static output feedback controller synthesis for discrete-time LPV systems

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11 Citations (Scopus)

Abstract

This study is concerned with the problem of gain-scheduled static output feedback H controller synthesis for discrete-time linear parameter varying systems. The scheduling parameters, which may affect all the system matrices, and their deviations are supposed to lie in a known hyper-rectangle. A design procedure is presented in terms of sequentially solving three parameter-dependent linear matrix inequality (LMI) optimisation problems. The parameter-dependent LMIs are solved through finite-dimensional LMI relaxations exploiting homogeneous polynomial matrices of arbitrary degree. One of the advantages of the new method lies in its less conservatism which is theoretically shown in comparison with some available approaches. By an iterative scheme, the performance of the method can be improved. Numerical examples reveal the effectiveness of the new method.

Original languageEnglish
Pages (from-to)2936-2947
Number of pages12
JournalInternational Journal of Systems Science
Volume48
Issue number14
DOIs
Publication statusPublished - 26 Oct 2017
Externally publishedYes

Keywords

  • bounded time-varying parameters
  • discrete-time system
  • Gain-scheduled
  • LPV system
  • static output feedback controller
  • time-varying system

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