Analysis of Linear Iterative Learning Control Schemes -A 2D Systems/Repetitive Processes Approach
Multidimensional Systems and Signal Processing - Recent progress in multidimensional control theory and applications
State feedback control of continuous-time T-S fuzzy systems via switched fuzzy controllers
Information Sciences: an International Journal
Brief paper: H∞ filtering for 2D Markovian jump systems
Automatica (Journal of IFAC)
Robust H∞ control of Takagi--Sugeno fuzzy systems with state and input time delays
Fuzzy Sets and Systems
Information Sciences: an International Journal
Information Sciences: an International Journal
Control law proposition for the stabilization of discrete Takagi-Sugeno models
IEEE Transactions on Fuzzy Systems
Relaxed stabilization conditions for continuous-time Takagi-Sugeno fuzzy control systems
Information Sciences: an International Journal
Fuzzy filter design for nonlinear systems in finite- frequency domain
IEEE Transactions on Fuzzy Systems
Stabilization for T-S model based uncertain stochastic systems
Information Sciences: an International Journal
Information Sciences: an International Journal
Stability analysis and design of Takagi-Sugeno fuzzy systems
Information Sciences: an International Journal
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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
Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions
IEEE Transactions on Fuzzy Systems
A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems
IEEE Transactions on Fuzzy Systems
Observer-Based Stabilization of T–S Fuzzy Systems With Input Delay
IEEE Transactions on Fuzzy Systems
Automatica (Journal of IFAC)
Output feedback control of discrete linear repetitive processes
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)
Technical communique: PI control of discrete linear repetitive processes
Automatica (Journal of IFAC)
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Information Sciences: an International Journal
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This paper investigates the stabilization problem of discrete-time two-dimension (2-D) Takagi-Sugeno (T-S) fuzzy systems. Based on a novel non-parallel distributed compensation (non-PDC) control scheme combined with a new non-quadratic Lyapunov function, less conservative stabilization conditions are developed. The proposed non-quadratic Lyapunov function is homogeneous polynomially parameter-dependent on membership functions. As the degree of the Lyapunov function increases, the conservatism of the obtained stabilization conditions is gradually reduced. By exploiting the algebraic property of membership functions, the stabilization conditions approach to exactness in the sense of convergence. Compared with the existing methods, no slack variables are introduced in control synthesis, and hence the same or less conservative results can be obtained with a lower computational cost. A numerical example is given to illustrate the effectiveness of the proposed method.