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

Journal of Engineering and Technological Sciences

Bomo W. Sanjaya¹  Arief Syaichu-Rohman²  Bambang Riyanto Trilaksono² 

[1] Dept. of Electrical Engineering, University of Tanjungpura, Pontianak, Indonesia;School of Electrical Engineering and Informatics, Bandung Institute of Technology, Bandung, Indonesia;

关键词: H∞;    nonlinear;    polynomial fuzzy controller;    polynomial fuzzy system;    polynomial Lyapunov function;    SOSTOOLS;    sum of squares;   

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

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown