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Stabilization of fuzzy systems with constrained controls by using positively invariant sets

A. El Hajjaji, A. Benzaouia and M. Naib

Mathematical Problems in Engineering, 2006, vol. 2006, 1-17

Abstract:

We deal with the extension of the positive invariance approach to nonlinear systems modeled by Takagi-Sugeno fuzzy systems. The saturations on the control are taken into account during the design phase. Sufficient conditions of asymptotic stability are given ensuring at the same time that the control is always admissible inside the corresponding polyhedral set. Both a common Lyapunov function and piecewise Lyapunov function are used.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:013832

DOI: 10.1155/MPE/2006/13832

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