H ∞ control synthesis of switched discrete-time fuzzy systems via hybrid approach

Weiming Xiang, Jian Xiao

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Because switched system with nonlinear subsystems shows great difficulties in controller design by conventional methodologies, the fuzzy logic theory, which has been proven to be a practical and effective way to deal with the analysis and synthesis problems for complex nonlinear systems, is applied to design a class of hybrid fuzzy H∞ controller for switched discrete-time fuzzy system in this paper. On a basis of one step prediction of switching signal, a hybrid parallel distributed compensation (PDC) control strategy is proposed, which includes two necessary parts: the state feedback controllers for subsystems and the update feedback controllers for switching instants. In both arbitrary and dwell-time switching cases investigated, it is proved that the hybrid PDC controller contains less conservativeness than conventional switched PDC controller. Numerical examples are given to illustrate the effectiveness and advantages of the proposed approach.

Original languageEnglish (US)
Pages (from-to)635-655
Number of pages21
JournalOptimal Control Applications and Methods
Volume34
Issue number6
DOIs
StatePublished - Nov 1 2013
Externally publishedYes

Keywords

  • dwell time
  • H ∞ control
  • hybrid PDC control
  • switched fuzzy systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics

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