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Article Dans Une Revue International Journal of Fuzzy Systems Année : 2005

Stability analysis and design for continuous-time Takagi-Sugeno control systems

Résumé

This paper discusses conditions on stability and stabilization of continuous Takagi-Sugeno (T-S) systems. Stability analysis is derived via nonquadratic Lyapunov function method and LMIs (Linear Matrix Inequalities) formulation. The nonquadratic Lyapunov function is built by inference of quadratic Lyapunov function on the same basis as the T-S model itself. We show that 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, stabilization of the closed-loop continuous T-S 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-00143998 , version 1 (30-04-2007)

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  • HAL Id : hal-00143998 , version 1

Citer

Mohammed Chadli, Didier Maquin, José Ragot. Stability analysis and design for continuous-time Takagi-Sugeno control systems. International Journal of Fuzzy Systems, 2005, 7 (3), pp.101-109. ⟨hal-00143998⟩
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