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- State-Feedback Control Design for Fuzzy Systems Using Lyapunov Functions With Quadratic Dependence on Fuzzy Weighting Functions | IEEE Journals & Magazine | IEEE Xplore

{\cal H}_{\infty} State-Feedback Control Design for Fuzzy Systems Using Lyapunov Functions With Quadratic Dependence on Fuzzy Weighting Functions


Abstract:

This paper proposes a method for designing an {\cal H}_{\infty} state-feedback fuzzy controller for discrete-time Takagi–Sugeno (T-S) fuzzy systems. To derive less co...Show More

Abstract:

This paper proposes a method for designing an {\cal H}_{\infty} state-feedback fuzzy controller for discrete-time Takagi–Sugeno (T-S) fuzzy systems. To derive less conservative {\cal H}_{\infty} stabilization conditions, this paper enhances the interactions among the fuzzy subsystems using a multiple Lyapunov function with quadratic dependence on fuzzy weighting functions. Besides, for more allocation of the nonlinearity to the fuzzy control system, this paper introduces a slack variable that is quadratically dependent on the one-step-past fuzzy weighting functions as well as the current ones. In the derivation, the {\cal H}_{\infty} stabilization conditions are formulated in terms of parameterized linear matrix inequalities (PLMIs), which are reconverted into LMI conditions with the help of an efficient relaxation technique.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 16, Issue: 6, December 2008)
Page(s): 1655 - 1663
Date of Publication: 31 December 2008

ISSN Information:


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