Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
IEEE Transactions on Fuzzy Systems
Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
IEEE Transactions on Fuzzy Systems
New approaches to relaxed quadratic stability condition of fuzzy control systems
IEEE Transactions on Fuzzy Systems
Output feedback robust H∞ control of uncertain fuzzy dynamic systems with time-varying delay
IEEE Transactions on Fuzzy Systems
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
On relaxed LMI-based designs for fuzzy regulators and fuzzy observers
IEEE Transactions on Fuzzy Systems
Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
Stability and stabilization of delayed T-S fuzzy systems: a delay partitioning approach
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
On exponential stability results for fuzzy impulsive neural networks
Fuzzy Sets and Systems
Exponential stability of uncertain T-S fuzzy switched systems with time delay
International Journal of Automation and Computing
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In this paper, we consider new generalized delay-dependent stability conditions of Takagi-Sugeno fuzzy time-delay systems. In the literature, both delay-independent stability conditions and delay-dependent stability conditions for fuzzy time-delay systems have already been obtained. However, those conditions are rather conservative and do not guarantee a wide stability region. This is also true in case of the robust stability for uncertain fuzzy time-delay systems. Here we choose a generalized Lyapunov functional and introduce a parameterized model transformation with free weighting matrices to it, in order to obtain generalized delay-dependent stability conditions. In fact, these techniques lead to generalized and less conservative stability conditions that guarantee a wide stability region. Our delay-dependent stability conditions thus obtained are given in terms of linear matrix inequalities (LMIs). We give three examples to illustrate our results. Comparison with other stability conditions in the literature shows our conditions are the most powerful ones to guarantee the widest stability region. We also consider the robust stability of fuzzy time-delay systems with uncertain parameters. Applying the same techniques obtained for the stability conditions, we obtain delay-dependent sufficient conditions for the robust stability of uncertain fuzzy systems. Moreover, we give a design method of robustly stabilizing controllers for uncertain Takagi-Sugeno fuzzy time-delay systems.