H∞ Control of Polynomial Fuzzy Systems: A Sum of Squares Approach | Zendy

Bomo Wibowo Sanjaya | Zendy; Bambang Riyanto Trilaksono | Zendy; Arief Syaichu-Rohman | Zendy

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H∞ Control of Polynomial Fuzzy Systems: A Sum of Squares Approach

Author(s) -

Bomo Wibowo Sanjaya,

Bambang Riyanto Trilaksono,

Arief Syaichu-Rohman

Publication year - 2014

Publication title -

journal of engineering and technological sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.202

H-Index - 14

eISSN - 2338-5502

pISSN - 2337-5779

DOI - 10.5614/j.eng.technol.sci.2014.46.2.3

Subject(s) - explained sum of squares , kharitonov's theorem , polynomial , mathematics , control theory (sociology) , fuzzy logic , fuzzy control system , nonlinear system , controller (irrigation) , least squares function approximation , stability (learning theory) , mathematical optimization , matrix polynomial , control (management) , computer science , square free polynomial , artificial intelligence , mathematical analysis , statistics , physics , quantum mechanics , estimator , agronomy , biology , machine learning

This paper proposes the control design ofa nonlinear polynomial fuzzy system with H∞ performance objective using a sum of squares (SOS) approach. Fuzzy model and controller are represented by a polynomial fuzzy model and controller. The design condition is obtained by using polynomial Lyapunov functions that not only guarantee stability but also satisfy the H∞ performance objective. The design condition is represented in terms of an SOS that can be numerically solved via the SOSTOOLS. A simulation study is presented to show the effectiveness of the SOS-based H∞ control designfor nonlinear polynomial fuzzy systems.\u

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