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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2008

Non-quadratic stabilization conditions for a class of uncertain non linear discrete-time T-S fuzzy models: a new approach

Résumé

The discrete-time uncertain nonlinear models are considered in a Takagi-Sugeno form and their stabilization is studied through a non- quadratic Lyapunov function. The classical conditions consider a one- sample variation, here, the main results are obtained considering k samples variation, i.e., Delta k V(x(t)) = V(x(t + k)) - V(x(t)). The results are shown to always include the classical cases, and several examples illustrate the effectiveness of the approach.
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Dates et versions

hal-00519432 , version 1 (20-09-2010)

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Alexandre Kruszewski, R. Wang, Thierry-Marie Guerra. Non-quadratic stabilization conditions for a class of uncertain non linear discrete-time T-S fuzzy models: a new approach. IEEE Transactions on Automatic Control, 2008, 53 (2), pp.606-611. ⟨10.1109/TAC.2007.914278⟩. ⟨hal-00519432⟩
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