Abstract

This paper is intended to develop a unified stability analysis framework for a general closed-loop continuous-time T-S model-based fuzzy control (TSFC) system, which consists of the parallel distributed compensation (PDC) controller and the real plant instead of the T-S fuzzy model. Plant to be controlled may be linear time-invariant, linear parameter jump, or nonlinear time-varying systems. As an alternative to Lyapunov function-based approach, virtual equivalent system (VES) approach is introduced. The stability of a TSFC system is identical to that of the corresponding VES.

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