State-space Takagi-Sugeno Fuzzy Model Research Articles

Admissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model

This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the lower and upper delay bounds. Finally, numerical examples are provided to substantiate the theoretical results.

Robust FuzzyH∞Output Feedback Control for a Class of Nonlinear Uncertain Systems with Mixed Time Delays

This paper studies the problem of delay-dependent robustH∞output feedback control for a class of uncertain fuzzy neutral systems with both discrete and distributed delays. The system is described by a state-space Takagi-Sugeno fuzzy model with distributed delays and norm-bounded parameter uncertainties. The purpose is to design a fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop fuzzy neutral system and satisfies anH∞norm bound constraint for all admissible uncertainties. In terms of linear matrix inequalities, sufficient conditions for the solvability of this problem are presented. Finally, a numerical example is included to demonstrate the effectiveness of the proposed method.

Robust H2 guaranteed cost fuzzy control for uncertain discrete-time fuzzy systems via poly-quadratic Lyapunov functions

In this paper, new approaches regarding H2 guaranteed cost stability analysis and controller synthesis problems for a class of discrete-time fuzzy systems with uncertainties are investigated. The state-space Takagi-Sugeno fuzzy model with norm-bounded parameter uncertainties is adopted. Based on poly-quadratic Lyapunov functions, sufficient conditions for the existence of the robust H2 fuzzy controller can be obtained in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMI constraints is formulated to design a suboptimal fuzzy controller which minimizes the upper bound on the quadratic cost function. The effectiveness of the proposed design approach is illustrated by two examples. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

Robust [formula omitted] control for uncertain fuzzy systems with distributed delays via output feedback controllers

This paper investigates the problem of robust H ∞ output feedback control for a class of uncertain fuzzy systems with distributed delays. The system is described by a state-space Takagi–Sugeno fuzzy model with distributed delays and norm-bounded parameter uncertainties. The aim is to design a fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop system and guarantees an H ∞ norm bound constraint on disturbance attenuation for all admissible uncertainties. In terms of linear matrix inequalities, a sufficient condition for the solvability of this problem is presented. Finally, simulation examples are provided to illustrate the effectiveness of the proposed design approach.

Robust H/sub /spl infin// control for uncertain discrete-time-delay fuzzy systems via output feedback controllers

This work investigates the problem of robust output feedback H/sub /spl infin// control for a class of uncertain discrete-time fuzzy systems with time delays. The state-space Takagi-Sugeno fuzzy model with time delays and norm-bounded parameter uncertainties is adopted. The purpose is the design of a full-order fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop system and guarantees an H/sub /spl infin// norm bound constraint on disturbance attenuation for all admissible uncertainties. In terms of linear matrix inequalities (LMIs), a sufficient condition for the solvability of this problem is presented. Explicit expressions of a desired output feedback controller are proposed when the given LMIs are feasible. The effectiveness and the applicability of the proposed design approach are demonstrated by applying this to the problem of robust H/sub /spl infin// control for a class of uncertain nonlinear discrete delay systems.