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

Wibowo S. Bomo, Riyanto Bambang


This paper proposes a nonlinear polynomial fuzzy system with H∞ performance objective using a sum of squares (SOS) approach. Fuzzy model and controller are represented by polynomial fuzzy model and controller. The
design condition is obtained based on polynomial lyapunov functions that not only guarantees stability, but also satisfy H∞ performance objective. The design condition is represented in term of SOS and it can be numerically solved via the SOSTOOLS.

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