H∞ -optimal control for singularly perturbed systems. Part I: perfect state measurements
Automatica (Journal of IFAC)
Singular Perturbation Methods in Control: Analysis and Design
Singular Perturbation Methods in Control: Analysis and Design
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
Stabilizing controller design for uncertain nonlinear systems using fuzzy models
IEEE Transactions on Fuzzy Systems
Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach
IEEE Transactions on Fuzzy Systems
H∞ fuzzy output feedback control design for nonlinear systems: an LMI approach
IEEE Transactions on Fuzzy Systems
Technical Communique: Effects of small delays on stability of singularly perturbed systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Information Sciences: an International Journal
Robust fuzzy decentralized control for nonlinear large-scale systems with parametric uncertainties
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Information Sciences: an International Journal
Robust H∞ control of Takagi--Sugeno fuzzy systems with state and input time delays
Fuzzy Sets and Systems
Information Sciences: an International Journal
Brief paper: New results on H∞ control of discrete singularly perturbed systems
Automatica (Journal of IFAC)
Multiobjective control for T-S fuzzy singularly perturbed systems
IEEE Transactions on Fuzzy Systems
Robust adaptive controller design for nonlinear time-delay systems via T-S fuzzy approach
IEEE Transactions on Fuzzy Systems
Perspectives of fuzzy systems and control
Fuzzy Sets and Systems
SIAM Journal on Control and Optimization
Engineering Applications of Artificial Intelligence
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This paper examines the problem of designing a robust H"~ output feedback controller for a class of singularly perturbed systems described by a Takagi-Sugeno fuzzy model. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain singularly perturbed nonlinear systems to have an H"~ performance are derived. To eliminate the ill-conditioning caused by the interaction of slow and fast dynamic modes, solutions to the problem are presented in terms of LMIs which are independent of the singular perturbation @?. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard singularly perturbed nonlinear systems. A numerical example is provided to illustrate the design developed in this paper.