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Communication Dans Un Congrès Année : 2000

Relaxed stability conditions for Takagi-Sugeno fuzzy systems

Résumé

This paper discusses conditions on stability and stabilization of continuous T-S fuzzy systems. Stability analysis is derived via a non-quadratic Lyapunov function technique and LMIs (linear matrix inequalities) formulation to obtain an efficient solution. The non-quadratic Lyapunov function is built by inference of quadratic Lyapunov function of each local model. We show that the stability condition of the open-loop T-S systems is assured under certain restrictions on the rate of change of state variables. Following a similar approach, the stabilization of closed-loop continuous T-S fuzzy systems using the well-known PDC (parallel distributed compensation) technique is investigated. The design methodology is illustrated by numerical examples.
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Dates et versions

hal-00201428 , version 1 (17-04-2014)

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Mohammed Chadli, Didier Maquin, José Ragot. Relaxed stability conditions for Takagi-Sugeno fuzzy systems. IEEE International Conference on Systems, Man, and Cybernetics, SMC'2000, Oct 2000, Nashville, United States. pp.3514-3519, ⟨10.1109/ICSMC.2000.886553⟩. ⟨hal-00201428⟩
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