Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
An observer-based approach to controlling time-delay chaotic systems via Takagi-Sugeno fuzzy model
Information Sciences: an International Journal
Observer-based adaptive control for uncertain time-delay systems
Information Sciences: an International Journal
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
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
Fuzzy adaptive backstepping robust control for SISO nonlinear system with dynamic uncertainties
Information Sciences: an International Journal
Robust H∞ filter design for uncertain fuzzy neutral systems
Information Sciences: an International Journal
Direct adaptive fuzzy control for nonlinear systems with time-varying delays
Information Sciences: an International Journal
Robust passivity and passification of stochastic fuzzy time-delay systems
Information Sciences: an International Journal
MIMO adaptive fuzzy terminal sliding-mode controller for robotic manipulators
Information Sciences: an International Journal
IEEE Transactions on Fuzzy Systems
Stabilization for T-S model based uncertain stochastic systems
Information Sciences: an International Journal
Robust sampled-data stabilization of uncertain fuzzy systems via input delay approach
Information Sciences: an International Journal
International Journal of Automation and Computing
| Hi-index | 0.08 |
In this paper, we consider delay-dependent stability conditions of Takagi-Sugeno fuzzy systems with discrete and distributed delays. Although many kinds of stability conditions for fuzzy systems with discrete delays have already been obtained, almost no stability condition for fuzzy systems with distributed delays has appeared in the literature. This is also true in case of the robust stability for uncertain fuzzy systems with distributed delays. Here we employ a generalized Lyapunov functional to obtain delay-dependent stability conditions of fuzzy systems with discrete and distributed delays. We introduce some free weighting matrices to such a Lyapunov functional in order to reduce the conservatism in stability conditions. These techniques lead to generalized and less conservative stability conditions. We also consider the robust stability of fuzzy time-delay systems with uncertain parameters. Applying the same techniques made on the stability conditions, we obtain delay-dependent sufficient conditions for the robust stability of uncertain fuzzy systems with discrete and distributed delays. Moreover, we consider the state feedback stabilization. Based on stability and robust stability conditions, we obtain conditions for the state feedback controller to stabilize the fuzzy time-delay systems. Finally, we give two examples to illustrate our results. Delay-dependent stability conditions obtained here are shown to guarantee a wide stability region.