Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
IEEE Transactions on Fuzzy Systems
Output feedback robust H∞ control of uncertain fuzzy dynamic systems with time-varying delay
IEEE Transactions on Fuzzy Systems
Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays
IEEE Transactions on Fuzzy Systems
Fuzzy guaranteed cost control for nonlinear systems with time-varying delay
IEEE Transactions on Fuzzy Systems
Transformation of Fuzzy Takagi-Sugeno Models into Piecewise Affine Models
RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
A survey of linear matrix inequality techniques in stability analysis of delay systems
International Journal of Systems Science
Fuzzy control of a nylon polymerization semi-batch reactor
Fuzzy Sets and Systems
Information Sciences: an International Journal
Delay-dependent robust H∞ control for T--S fuzzy system with interval time-varying delay
Fuzzy Sets and Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
On exponential stability results for fuzzy impulsive neural networks
Fuzzy Sets and Systems
An anti-windup design for T-S fuzzy time-delay systems with saturating inputs
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Artificial Intelligence Review
Information Sciences: an International Journal
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In this paper, we consider robust stability and stabilization of uncertain Takagi-Sugeno fuzzy time-delay systems where uncertainties come into the state and input matrices. Some stability conditions and robust stability conditions for fuzzy time-delay systems have already been obtained in the literature. However, those conditions are rather conservative and do not guarantee the stability and robust stability for a wide class of fuzzy systems. This is true in case of designing stabilizing controllers for fuzzy time-delay systems. We first consider robust stability conditions of uncertain fuzzy systems. Conditions we obtain here are delay-dependent conditions that depend on the upper bound of time delay, and are given in linear matrix inequalities(LMIs). An appropriate selection of Lyapunov-Krasovskii function and introduction of free weighting matrices generalize robust stability conditions. Next, we consider the stabilization problem with memoryless and delayed feedback controllers. Based on our generalized robust stability conditions, we obtain delay-dependent sufficient conditions for the closed-loop system to be robustly stable, and give a design method of robustly stabilizing controllers. Finally, we give two examples that illustrate our results. We compare our conditions with other stability conditions and show our conditions are rather generalized.