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


  • Bomo S. Wibowo Dept. of Electrical Engineering, University of Tanjungpura
  • Bambang Riyanto Trilaksono School of Electrical Engineering and Informatics, Bandung Institute of Technology
  • Arief Syaichu-Rohman School of Electrical Engineering and Informatics, Bandung Institute of Technology




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.


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How to Cite

Wibowo, B. S., Trilaksono, B. R., & Syaichu-Rohman, A. (2014). H∞ Control of Polynomial Fuzzy Systems: A Sum of Squares Approach. Journal of Engineering and Technological Sciences, 46(2), 152-169. https://doi.org/10.5614/j.eng.technol.sci.2014.46.2.3