基于切换模糊模型和分段Lyapunov函数的T-S模糊系统时滞依赖H_∞控制(英文)

• 作 者: 夏志乐 李俊民
• 机 构: School of Science,Xidian University,School of Mathematics and Information Engineering, Taizhou Unive
• 出 处: 自动化学报
• 发表日期: 2009年09期
• 关键词: 时滞依赖 switching stabilization conservative transformed validity piecewise disturb

This paper studies the problem of H_∞control for discrete-time Takagi-Sugeno(T-S) fuzzy systems with time delays. The T-S fuzzy system is transformed to an equivalent switching fuzzy system.Consequently,the delay-dependent stabilization criteria with H_∞performance are derived for the switching fuzzy systems based on the piecewise Lyapunov function. The proposed conditions are given in terms of linear matrix inequalities(LMIs).The interactions among the fuzzy subsystems are considered in each subregion,and accordingly the proposed conditions are less conservative than the previous results. Finally,a design example is given to show the validity of the proposed method.

This paper studies the problem of H_∞control for discrete-time Takagi-Sugeno (TS) fuzzy systems with time delays. The TS fuzzy system is transformed to an equivalent switching fuzzy system.Consequently, the delay-dependent stabilization criteria with H_∞performance are derived for the switching fuzzy systems based on the piecewise Lyapunov function. The proposed conditions are given in terms of linear matrix inequalities (LMIs). The interactions among the fuzzy subsystems are considered in each subregion, and accordingly the proposed conditions are less conservative than the previous results. Finally, a design example is given to show the validity of the proposed method.