Abstract
This paper presents a switch methodology together with a sum of squares (SOS) techniques to synthesize a nonlinear controller for a polynomial Takagi-Sugeno (T-S) fuzzy model. A polynomial T-S fuzzy model adopts a polynomial representation of the nonlinear dynamics in its consequent part, which make it less susceptible to linearization errors. With respect to polynomial T-S fuzzy models, a fuzzy switching control mechanism instead of fuzzy blending mechanism is developed to provide stability and performance. The switching control mechanism is synthesized by using the SOS technique which is capable of rendering an estimate of the region of convergence and, accordingly, leading to the partitioning of the fuzzy model. Computer simulations for two representative nonlinear systems are provided to demonstrate the effectiveness and robustness of the proposed nonlinear fuzzy control.
Original language | English |
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Pages (from-to) | 4363-4376 |
Number of pages | 14 |
Journal | International Journal of Innovative Computing, Information and Control |
Volume | 7 |
Issue number | 7 B |
Publication status | Published - 2011 Jul |
All Science Journal Classification (ASJC) codes
- Software
- Theoretical Computer Science
- Information Systems
- Computational Theory and Mathematics