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含状态和输入时滞的δ算子系统的非脆弱鲁棒保性能控制
引用本文:夏丹,肖民卿. 含状态和输入时滞的δ算子系统的非脆弱鲁棒保性能控制[J]. 福建教育学院学报, 2011, 0(3): 125-128
作者姓名:夏丹  肖民卿
作者单位:福建师范大学数学与计算机科学学院,福建福州,350007
基金项目:福建省高校服务海西建设重点项目——基于数学的信息化技术研究
摘    要:文章基于线性矩阵不等式(LMI)方法和Lyapunov稳定性理论,研究参数不确6定算子时滞系统的非脆弱保性能控制问题,提出非脆弱状态反馈保性能控制器的存在条件和设计方法,在此基础上,通过建立和求解一个凸优化问题,给出最优保性能控制律的设计。最后用数值算例说明方法的有效性。

关 键 词:δ算子  时滞  非脆弱  保性能控制  LMI方法

Non-fragile Robust Guaranteed Cost Control for Delta-operator System with State and Input Time Delays
XIA Dan XIAO Min-qing. Non-fragile Robust Guaranteed Cost Control for Delta-operator System with State and Input Time Delays[J]. Journal of Fujian Education Institute, 2011, 0(3): 125-128
Authors:XIA Dan XIAO Min-qing
Affiliation:XIA Dan XIAO Min-qing(School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China)
Abstract:Based on LMI approach and Lyapunov theory, non-fragile guaranteed cost control for a class of delta-operator uncertain time-delay systems is studied. A sufficient condition for the existence of non--fragile state feedback guaranteed cost controller is presented, and the design method of such controller is proposed. Based on that mentioned, the design problem of the optimal guaranteed cost controller is given by solving a corresponding convex optimization problem. Finally, a numerical example is given to illustrate the feasibility and advantage of the design method.
Keywords:delta-operator  time-delay  non-fragile  guaranteed cost control  LMI approach  
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