Stability analysis of polynomial fuzzy-model-based control systems under perfect/imperfect premise matching

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Abstract

This study presents an improved sum-of-squares (SOS)-based stability analysis result for the polynomial fuzzy-model-based control system, formed by a polynomial fuzzy model and a polynomial fuzzy controller connected in a closed loop. Two cases, namely perfect and imperfect premise matching, are considered. Under the perfect premise matching, the polynomial fuzzy model and polynomial fuzzy controller share the same premise membership functions. While different sets of membership functions are employed, it falls into the case of imperfect premise matching. Based on the Lyapunov stability theory, improved SOS-based stability conditions are derived to determine the system stability and facilitate the controller synthesis. Simulation examples are given to verify the stability analysis results and demonstrate the effectiveness of the proposed approach.

Original languageBritish English
Pages (from-to)1689-1697
Number of pages9
JournalIET Control Theory and Applications
Volume5
Issue number15
DOIs
StatePublished - 13 Oct 2011

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