A new fuzzy Lyapunov approach to non-quadratic stabilization of Takagi-Sugeno fuzzy models

• Autorzy: Ibtissem Abdelmalek , Noureddine Goléa , Mohamed Laid Hadjili
• Języki publikacji: EN

Abstrakty

EN

In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. The stability conditions we propose are less conservative and stabilize also fuzzy systems which do not admit a quadratic stabilization. The proposed approach is based on two assumptions. The first one relates to a proportional relation between multiple Lyapunov functions and the second one considers an upper bound to the time derivative of the premise membership functions. To illustrate the advantages of our proposal, four examples are given.

Słowa kluczowe

EN

linear matrix inequalities; non-quadratic stability conditions; T-S fuzzy systems; stabilization; parallel distributed compensation

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: 17
• Numer: 1
• Strony: 39-51

Daty

wydano

2007

otrzymano

2006-05-29

(nieznana)

2006-12-15

poprawiono

2007-01-05

Twórcy

autor

Ibtissem Abdelmalek

• Electronics Department, Batna University, 05000, Batna, Algeria

autor

Noureddine Goléa

• Electrical Engineering Institute, Oum-El-Bouaghi University, 04000, Oum El Bouaghi, Algeria

autor

Mohamed Laid Hadjili

• Ecole de Promotion Social, UCCLE, 1180, Brussels, Belgium

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