GLOBAL ROBUST STABILITY CRITERIA FOR T-S FUZZY SYSTEMS WITH DISTRIBUTED DELAYS AND TIME DELAY IN THE LEAKAGE TERM

Document Type: Research Paper

Authors

1 Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram - 624 302, Tamilnadu, India

2 Department of Mathematics, Bharathiar University, Coimbatore - 641 046, Tamilnadu, India

Abstract

The paper is concerned with robust stability criteria for Takagi-
Sugeno (T-S) fuzzy systems with distributed delays and time delay in the
leakage term. By exploiting a model transformation, the system is converted
to one of the neutral delay system. Global robust stability result is proposed
by a new Lyapunov-Krasovskii functional which takes into account the range
of delay and by making use of some inequality techniques. Based on the
interval time-varying delays, new stability criteria are obtained in terms of
linear matrix inequalities (LMIs). Finally, three numerical examples and their
simulations are given to show the effectiveness and advantages of our results.

Keywords


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