An algebraic Riccati equation approach to H∞ optimization
Systems & Control Letters
Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
Automatica (Journal of IFAC)
Analysis and design for a class of complex control systems part II: fuzzy controller design
Automatica (Journal of IFAC)
An LMI-based H∞ fuzzy control system design with TS framework
Information Sciences: an International Journal - Special issue analytical theory of fuzzy control with applications
Fuzzy control rules extraction from perception-based information using computing with words
Information Sciences—Informatics and Computer Science: An International Journal - Special issue: Intelligent information systems and applications
H∞ control of uncertain dynamical fuzzydiscrete-time systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Hyperbolic optimal control and fuzzy control
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Robust H∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems
IEEE Transactions on Fuzzy Systems
Robust fuzzy control of nonlinear systems with parametric uncertainties
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
H∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach
Fuzzy Sets and Systems
Information Sciences: an International Journal
Static output feedback controller design for fuzzy systems: An ILMI approach
Information Sciences: an International Journal
Information Sciences: an International Journal
Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion
Information Sciences: an International Journal
Delay-dependent stabilization for stochastic fuzzy systems with time delays
Fuzzy Sets and Systems
Information Sciences: an International Journal
Information Sciences: an International Journal
Robust H∞ control of Takagi--Sugeno fuzzy systems with state and input time delays
Fuzzy Sets and Systems
A descriptor system approach to non-fragile H∞ control for uncertain fuzzy neutral systems
Fuzzy Sets and Systems
Information Sciences: an International Journal
Fuzzy adaptive backstepping robust control for SISO nonlinear system with dynamic uncertainties
Information Sciences: an International Journal
Static output feedback H∞ control of a class of nonlinear discrete-time systems
Fuzzy Sets and Systems
Synchronization of chaotic systems from a fuzzy regulation approach
Fuzzy Sets and Systems
Robust H∞ filter design for uncertain fuzzy neutral systems
Information Sciences: an International Journal
New LMI approach to fuzzy H∞ filter designs
IEEE Transactions on Circuits and Systems II: Express Briefs
Stability analysis and stabilization for discrete-time fuzzy systems with time-varying delay
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
H∞ controller synthesis via switched PDC scheme for discrete-time T-S fuzzy systems
IEEE Transactions on Fuzzy Systems
H∞ fuzzy control of nonlinear systems under unreliable communication links
IEEE Transactions on Fuzzy Systems
H∞ fuzzy filtering of nonlinear systems with intermittent measurements
IEEE Transactions on Fuzzy Systems
Fault detection for fuzzy systems with intermittent measurements
IEEE Transactions on Fuzzy Systems
Observer-based relaxed H∞ control for fuzzy systems using a multiple Lyapunov function
IEEE Transactions on Fuzzy Systems
Stability and stabilization of delayed T-S fuzzy systems: a delay partitioning approach
IEEE Transactions on Fuzzy Systems
Constrained controller design for a class of nonlinear discrete-time uncertain systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Graphical L2-stability analysis of Takagi--Sugeno control systems in the frequency domain
Fuzzy Sets and Systems
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This paper deals with the robust H∞ control problem for a class of discrete-time fuzzy systems with uncertainty. The uncertainty is assumed to be of structured linear fractional form. By using basis-dependent Lyapunov function, an H∞ control design approach is developed. The control design approach is facilitated by introducing some additional instrumental matrix variables. These additional matrix variables decouple the Lyapunov and the system matrices, which makes the control design feasible. The proposed approach leads to some sufficient results in the form of strict linear matrix inequalities (LMIs). It is expected that the basis-dependent results are less conservative than the basis-independent ones due to the introduction of basis-dependent Lyapunov function. Finally, numerical examples including the discrete chaotic Lorenz system are also given to demonstrate the applicability of the proposed approach.