Robust H_∞ controller design for a class of nonlinear fuzzy time-delay systems  

作　　者：Wang Miaoxin Liu Jizhen Liu Xiangjie Liu Juncheng 

机构地区：[1]Dept. of Automation, North China Electric Power Univ., Beijing 102206, P. R. China [2]Key Lab. of Condition Monitoring and Control for Power Plant Equipment,Ministry of Education, North China Electric Power Univ., Beijing 102206, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2009年第6期1286-1289,共4页系统工程与电子技术（英文版）

基　　金：supported by the Program for Natural Science Foundation of Beijing (4062030);Young Teacher Research Foundation of North China Electric Power University

摘　　要：The problem of fuzzy modeling for state and input time-delays systems with a class of nonlinear uncertainties by fuzzy T-S model is addressed.By using the linear matrix inequality（LMI） method, the problem of fuzzy robust H ∞ controller design for the system is studied.Assuming that the nonlinear uncertain functions in the model considered are gain-bounded, a sufficient condition for the robustly asymptotic stability of the closed-loop system is obtained via Lyapunov stability theory.By solving the LMI, a feedback control law which guarantees the robustly asymptotic stability of the closed-loop system is constructed and the effect of the disturbance input on the controlled output is ruduced to a prescribed level.The problem of fuzzy modeling for state and input time-delays systems with a class of nonlinear uncertainties by fuzzy T-S model is addressed.By using the linear matrix inequality（LMI） method, the problem of fuzzy robust H ∞ controller design for the system is studied.Assuming that the nonlinear uncertain functions in the model considered are gain-bounded, a sufficient condition for the robustly asymptotic stability of the closed-loop system is obtained via Lyapunov stability theory.By solving the LMI, a feedback control law which guarantees the robustly asymptotic stability of the closed-loop system is constructed and the effect of the disturbance input on the controlled output is ruduced to a prescribed level.

关 键 词：fuzzy control robust H∞ control nonlinear uncertainty fuzzy time-delay systems linear matrixinequality. 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP273.4[自动化与计算机技术—控制科学与工程]