This paper is concerned with the non-fragile H∞ filter design problem for uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay.To begin with,the T-S fuzzy system is transformed to an equivalent s...This paper is concerned with the non-fragile H∞ filter design problem for uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay.To begin with,the T-S fuzzy system is transformed to an equivalent switching fuzzy system.Then,based on the piecewise Lyapunov function and matrix decoupling technique,a new delay-dependent non-fragile H∞ filtering method is proposed for the switching fuzzy system.The proposed condition is less conservative than the previous results.Since only a set of LMIs is involved,the filter parameters can be solved directly.Finally,a design example is provided to illustrate the validity of the proposed method.展开更多
Generalized H2 (GH2) stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov funct...Generalized H2 (GH2) stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities (LMIs). The interactions among the fuzzy subsystems are considered. Therefore, the proposed conditions are less conservative than the previous results. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. To illustrate the validity of the proposed method, a design example is provided.展开更多
基金supported by National Natural Science Foundation of China(No.60974139,No.60804021)Fundamental Research Funds for the Central Universities
文摘This paper is concerned with the non-fragile H∞ filter design problem for uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay.To begin with,the T-S fuzzy system is transformed to an equivalent switching fuzzy system.Then,based on the piecewise Lyapunov function and matrix decoupling technique,a new delay-dependent non-fragile H∞ filtering method is proposed for the switching fuzzy system.The proposed condition is less conservative than the previous results.Since only a set of LMIs is involved,the filter parameters can be solved directly.Finally,a design example is provided to illustrate the validity of the proposed method.
文摘Generalized H2 (GH2) stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities (LMIs). The interactions among the fuzzy subsystems are considered. Therefore, the proposed conditions are less conservative than the previous results. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. To illustrate the validity of the proposed method, a design example is provided.
