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不确定时滞系统的模糊鲁棒H∞控制
引用本文:刘亚,胡寿松.不确定时滞系统的模糊鲁棒H∞控制[J].南京航空航天大学学报(英文版),2002,19(2):123-126.
作者姓名:刘亚  胡寿松
作者单位:南京航空航天大学自动化学院,南京,210016
基金项目:国家自然科学基金 (编号 :2 0 0 0 0 2 870 4),中国航空科学基金 (编号 :0 2 E5 2 0 2 5 )资助项目~~
摘    要:讨论了一类具有时滞的不确定非线性系统的模糊H∞状态反馈控制问题。采用具有时滞和不确定项的Takagi-Sugeno(T-S)模糊模型对非线性系统进行建模,提出了一套基于LMI的模糊鲁棒控制器的系统设计方法,并给出了模糊H∞状态反馈控制器存在的充分条件,以保证闭环模糊系统渐近稳定并满足从干扰输入到输出控制输出的H∞范数界约束。示例仿真表明了该方法的有效性。

关 键 词:不确定时滞系统  模糊鲁棒H∞控制  T-S模糊模型  线性矩阵不等式

FUZZY ROBUST H∞ CONTROL OF UNCERTAIN NONLINEAR SYSTEM WITH TIME-DEALY
Liu Ya,HU Shousong.FUZZY ROBUST H∞ CONTROL OF UNCERTAIN NONLINEAR SYSTEM WITH TIME-DEALY[J].Transactions of Nanjing University of Aeronautics & Astronautics,2002,19(2):123-126.
Authors:Liu Ya  HU Shousong
Abstract:This paper addresses the problem of the fuzzy H∞state feedback control for a class of uncertain nonlinear systems with time-delay. The Takagi-Sugeno (T-S) mo-del with time-delay and parameter uncertainties is adopted for modeling of nonlinear system. The systematic design procedure for the fuzzy robust controller based on linear matrix inequality (LMI) is given. Some sufficient conditions are derived for the existence of fuzzy H∞ state feedback controllers such that the closed-loop system is asymptotically stable and the effect of the disturbance input on controlled output is reduced to a prescribed level. An example is given to demonstrate the effectiveness of the proposed method.
Keywords:uncertainty  time  delay  T  S fuzzy model  linear matrix inequality (LMI)
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