Arief Syaichu-Rohman
School of Electrical Engineering and Informatics, Bandung Institute of Technology

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H∞ Control of Polynomial Fuzzy Systems: A Sum of Squares Approach Wibowo, Bomo S.; Trilaksono, Bambang Riyanto; Syaichu-Rohman, Arief
Journal of Engineering and Technological Sciences Vol 46, No 2 (2014)
Publisher : ITB Journal Publisher, LPPM ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (402.033 KB) | DOI: 10.5614/j.eng.technol.sci.2014.46.2.3

Abstract

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.