Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis
Automatica (Journal of IFAC)
A constructive approach to stabilizability and stabilization of a class of nDD Systems
Multidimensional Systems and Signal Processing
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Two-Dimensional Digital Filters
Two-Dimensional Digital Filters
H∞ and Robust Control of 2-D Systems in FM Second Model
Multidimensional Systems and Signal Processing
Stability and Stabilization of Uncertain 2-D Discrete Systems with Stochastic Perturbation
Multidimensional Systems and Signal Processing
H" Model Reduction of 2-D Singular Roesser Models
Multidimensional Systems and Signal Processing
H∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach
Fuzzy Sets and Systems
Brief paper: H∞ filtering for 2D Markovian jump systems
Automatica (Journal of IFAC)
International Journal of Systems Science
Fuzzy filter design for itô stochastic systems with application to sensor fault detection
IEEE Transactions on Fuzzy Systems
H∞ fuzzy filtering of nonlinear systems with intermittent measurements
IEEE Transactions on Fuzzy Systems
H∞ control for fuzzy singularly perturbed systems
Fuzzy Sets and Systems
Robust mixed ℋ2/ℋ∞ filteringof 2-D systems
IEEE Transactions on Signal Processing
H∞ filtering of 2-D discrete systems
IEEE Transactions on Signal Processing
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
New approaches to relaxed quadratic stability condition of fuzzy control systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Automatica (Journal of IFAC)
New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
Automatica (Journal of IFAC)
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This paper investigates the problem of stability analysis and stabilization for two-dimensional (2-D) discrete fuzzy systems. The 2-D fuzzy system model is established based on the Fornasini---Marchesini local state-space model, and a control design procedure is proposed based on a relaxed approach in which basis-dependent Lyapunov functions are used. First, nonquadratic stability conditions are derived by means of linear matrix inequality (LMI) technique. Then, by introducing an additional instrumental matrix variable, the stabilization problem for 2-D fuzzy systems is addressed, with LMI conditions obtained for the existence of stabilizing controllers. Finally, the effectiveness and advantages of the proposed design methods based on basis-dependent Lyapunov functions are shown via two examples.