Constrained infinite-horizon model predictive control for fuzzy-discrete-time systems

Yuanqing Xia*, Hongjiu Yang, Peng Shi, Menyin Fu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

98 Citations (Scopus)

Abstract

The problem of constrained infinite-horizon model-predictive control for fuzzy-discrete systems is considered in this paper. New sufficient conditions are proposed in terms of linear-matrix inequalities. Based on the optimal solutions of these sufficient conditions at each sampling instant, we design both parallel-distributed compensation and nonparallel-distributed compensation state-feedback controllers, which can guarantee that the resulting closed-loop fuzzy-discrete system is asymptotically stable. In addition, the fuzzy-feedback controllers meet the specifications for the fuzzy-discrete systems with both input and output constraints. Numerical examples are presented to demonstrate the effectiveness of the proposed techniques.

Original languageEnglish
Article number5415640
Pages (from-to)429-436
Number of pages8
JournalIEEE Transactions on Fuzzy Systems
Volume18
Issue number2
DOIs
Publication statusPublished - Apr 2010

Keywords

  • Discrete-time system
  • Linear-matrix inequality (LMI)
  • Model-predictive control (MPC)
  • Parallel-distributed compensation (PDC)
  • Takagi-Sugeno (T-S) fuzzy system

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