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Robust Passive Control for T-S Fuzzy Systems

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Computational Intelligence (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4114))

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Abstract

This paper presents a design method of robust passive controllers for continuous-time Takagi-Sugenon (T-S) fuzzy systems. The parametric uncertainty is assumed to be norm bounded. By applying the Lyapunov stability theory, a sufficient condition on the existence of robust passive controllers is given. With the help of linear matrix inequality (LMI), robust passive controllers are designed such that the closed-loop system is robust stable and satisfies the passive performance. Furthermore, a convex optimization problem with LMI constraints is formulated to design robust passive controller with the maximum dissipation rate. A numerical example demonstrates the validity of this method.

Keywords: T-S fuzzy systems, robust control, passive performance, linear matrix inequalities.

This work was supported by Program for Changjiang Scholars and Innovative Research Team in University.

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© 2006 Springer-Verlag Berlin Heidelberg

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Li, Y., Fu, Y., Duan, G. (2006). Robust Passive Control for T-S Fuzzy Systems. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence. ICIC 2006. Lecture Notes in Computer Science(), vol 4114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37275-2_19

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  • DOI: https://doi.org/10.1007/978-3-540-37275-2_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37274-5

  • Online ISBN: 978-3-540-37275-2

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