Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
H∞ -control for Markovian jumping linear systems with parametric uncertainty
Journal of Optimization Theory and Applications
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Robust H∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions
Information Sciences: an International Journal
Improved H∞ control of discrete-time fuzzy systems: a cone complementarity linearization approach
Information Sciences: an International Journal
Reliable LQ fuzzy control for nonlinear discrete-time systems via LMIs
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
Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach
IEEE Transactions on Fuzzy Systems
Robust H∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems
IEEE Transactions on Fuzzy Systems
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
Robust fuzzy control of nonlinear systems with parametric uncertainties
IEEE Transactions on Fuzzy Systems
A multiple Lyapunov function approach to stabilization of fuzzy control systems
IEEE Transactions on Fuzzy Systems
Automatica (Journal of IFAC)
PI-Fuzzy controllers for integral plants to ensure robust stability
Information Sciences: an International Journal
Robust stability of uncertain discrete-time singular fuzzy systems
Fuzzy Sets and Systems
Quantized output feedback control for networked control systems
Information Sciences: an International Journal
Engineering Applications of Artificial Intelligence
Fuzzy adaptive backstepping robust control for SISO nonlinear system with dynamic uncertainties
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
Robust peak-to-peak filtering for Markov jump systems
Signal Processing
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
IEEE Transactions on Fuzzy Systems
Delay dependent stability results for fuzzy BAM neural networks with Markovian jumping parameters
Expert Systems with Applications: An International Journal
Robust H∞ control for nonlinear systems over network: A piecewise analysis method
Fuzzy Sets and Systems
Expert Systems with Applications: An International Journal
Information Sciences: an International Journal
Robust stability of impulsive Takagi-Sugeno fuzzy systems with parametric uncertainties
Information Sciences: an International Journal
Information Sciences: an International Journal
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This paper studies the robust fuzzy control problem of uncertain discrete-time nonlinear Markovian jump systems without mode observations. The Takagi and Sugeno (T-S) fuzzy model is employed to represent a discrete-time nonlinear system with norm-bounded parameter uncertainties and Markovian jump parameters. As a result, an uncertain Markovian jump fuzzy system (MJFS) is obtained. A stochastic fuzzy Lyapunov function (FLF) is employed to analyze the robust stability of the uncertain MJFS, which not only is dependent on the operation modes of the system, but also directly includes the membership functions. Then, based on this stochastic FLF and a non-parallel distributed compensation (non-PDC) scheme, a mode-independent state-feedback control design is developed to guarantee that the closed-loop MJFS is stochastically stable for all admissible parameter uncertainties. The proposed sufficient conditions for the robust stability and mode-independent robust stabilization are formulated as a set of coupled linear matrix inequalities (LMIs), which can be solved efficiently by using existing LMI optimization techniques. Finally, it is also demonstrated, via a simulation example, that the proposed design method is effective.