H∞ Control of Polynomial Fuzzy Systems: A Sum of Squares Approach
| Main Authors: | Wibowo, Bomo S.; Dept. of Electrical Engineering, University of Tanjungpura, Trilaksono, Bambang Riyanto; School of Electrical Engineering and Informatics, Bandung Institute of Technology, Syaichu-Rohman, Arief; School of Electrical Engineering and Informatics, Bandung Institute of Technology |
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| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
ITB Journal Publisher, LPPM ITB
, 2014
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| Subjects: | |
| Online Access: |
http://journals.itb.ac.id/index.php/jets/article/view/716 http://journals.itb.ac.id/index.php/jets/article/view/716/429 |
Daftar Isi:
- 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.