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Design method and application for fuzzy logical controller based on L Lyapunov functions

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2 Author(s)
Liao, D.Z. ; Dept. of Electron. Eng., City Univ. of Hong Kong, Hong Kong ; Yeung, L.F.

A stability analysis and controller design for fuzzy logical systems described by the Takagi-Sugeno model is introduced, and this method is based on a common L Lyapunov function method. The fuzzy logical controller with a parallel distributed compensation structure is employed, and then the overall closed-loop system can be represented by a time-variant system. It is proved that the existence of the L Lyapunov function is the necessary and sufficient stability condition for the time-variant system. A stability criterion based on the L Lyapunov function is also discussed in the paper. An efficient iterative algorithm is developed to find the L Lyapunov functions for these control systems

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Control Theory and Applications, IEE Proceedings -  (Volume:146 ,  Issue: 1 )