Creator:

Abdelmalek, Ibtissem ; Goléa, Noureddine ; Hadjili, Mohamed Laid

Contributor:

Korbicz, Józef (1951- ) - red.

Title:

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

Group publication title:

AMCS, volume 17 (2007)

Subject and Keywords:

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

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2007

Resource Type:

artykuł

DOI:

10.2478/v10006-007-0005-4

Pages:

39-51

Source:

AMCS, volume 17, number 1 (2007)

Language:

eng

License CC BY 4.0:

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Rights:

Biblioteka Uniwersytetu Zielonogórskiego