H∞ Control of Polynomial Fuzzy Systems: A Sum of Squares Approach
Bomo Wibowo Sanjaya, Bambang Riyanto Trilaksono, Arief Syaichu-Rohman · Journal of Engineering and Technological Sciences · 2014
This paper proposes the control design of a 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 design for nonlinear polynomial fuzzy systems.