Control Lyapunov FunctionsによるPolynomialファジィシステムの制御系設計

Radian Furqon; Ying-Jen Chen; 田中 基康; 田中 一男; Hua O. Wang

doi:10.14864/fss.30.0_538

30th Fuzzy System Symposium

Session ID : TD1-3

DOI https://doi.org/10.14864/fss.30.0_538

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Host: Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)

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A Polynomial Fuzzy Control System Design via Control Lyapunov Functions

*Radian Furqon, Ying-Jen Chen, Motoyasu Tanaka, Kazuo Tanaka, Hua O. Wang

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Keywords: control Lyapunov functions (CLF), nonlinear systems, polynomial fuzzy systems, sum-of-squares (SOS), stabilizability analysis

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Abstract

This research investigates the stabilizability of polynomial fuzzy systems by searching control Lyapunov functions (CLF) for the systems numerically using sum-of-squares (SOS) optimization technique. At ﬁrst, we express a nonlinear plant with a polynomial fuzzy system. Next, a global stabilizability criterion represented in SOS conditions is proposed to search for a CLF for the system. In our approach, path-following method is employed due to the existence of bilinear terms in the CLF conditions. Finally, a simulation example is given to show the effectiveness of our proposed method.

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