Robust H∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions
Information Sciences: an International Journal
Robust filtering for jumping systems with mode-dependent delays
Signal Processing
H∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach
Fuzzy Sets and Systems
Filtering for networked stochastic time-delay systems with sector nonlinearity
IEEE Transactions on Circuits and Systems II: Express Briefs
H∞ fuzzy filtering of nonlinear systems with intermittent measurements
IEEE Transactions on Fuzzy Systems
Exponential H∞ filter design for uncertain Takagi-Sugeno fuzzy systems with time delay
Engineering Applications of Artificial Intelligence
Worst case control of uncertain jumping systems with multi-state and input delay information
Information Sciences: an International Journal
Robust H2 and H∞ filtering for uncertain linear systems
Automatica (Journal of IFAC)
Robust Mixed Filtering for Time-Delay Fuzzy Systems
IEEE Transactions on Signal Processing
H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints: an LMI approach
IEEE Transactions on Signal Processing
A note on the robust stability of uncertain stochastic fuzzy systems with time-delays
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A multiple Lyapunov function approach to stabilization of fuzzy control systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Stabilization of Nonlinear Systems Under Variable Sampling: A Fuzzy Control Approach
IEEE Transactions on Fuzzy Systems
Filtering for discrete fuzzy stochastic systems with sensor nonlinearities
IEEE Transactions on Fuzzy Systems
H∞ filtering for networked systems with partly known distribution transmission delays
Information Sciences: an International Journal
Non-fragile H∞ filter design for discrete-time fuzzy systems with multiplicative gain variations
Information Sciences: an International Journal
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This brief is concerned with the H∞ filtering problem for a class of discrete-time. fuzzy systems. The objective is to find a new way to design a stable filter guaranteeing the asymptotic stability and a prescribed H∞ performance of the filtering error system. By using the fuzzy Lyapunov function approach and adding slack matrix variables, a new condition for H∞ performance analysis is proposed. Then, a linear matrix inequality (LMI)-based approach is developed for designing the fuzzy H∞ filter, which can be obtained from the solution of convex optimization problems. When these LMIs are feasible, an explicit expression of a desired H∞ fuzzy filter is given. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.