PDC synthesis for T-S fuzzy large-scale systems

Wen June Wang, Wei Wei Lin

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations

Abstract

This paper deals with the decentralized stabilization problem for a T-S fuzzy large-scale system. The interconnection between any two subsystems may be nonlinear and satisfies some matching condition. The decentralized parallel distributed compensation (PDC) fuzzy control for each subsystem is synthesized in which the control gain depends on the strength of interconnections, maximal number of the fired rule in each subsystem and the common positive matrix Pi. Based on Lyapunov criterion and Riccati-inequality, some sufficient conditions are derived and the common Pi is solved by linear matrix, inequalities (LMI) toolbox of Matlab so that the whole closed loop large-scale fuzzy system with the synthesized fuzzy control is asymptotically stable. Furthermore, we also discuss the robustness of the closed loop system with perturbations. Finally, a numerical example is given to illustrate the control synthesis and its effectiveness.

Original languageEnglish
Pages (from-to)4956-4961
Number of pages6
JournalProceedings of the IEEE International Conference on Systems, Man and Cybernetics
Volume5
StatePublished - 2003
EventSystem Security and Assurance - Washington, DC, United States
Duration: 5 Oct 20038 Oct 2003

Keywords

  • Fuzzy control
  • Large-scale system
  • T-S fuzzy model

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