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δ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。
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.
出处
《福建教育学院学报》
2011年第3期125-128,共4页
Journal of Fujian Institute of Education
基金
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
关键词
Δ算子
时滞
非脆弱
保性能控制
LMI方法
delta-operator
time-delay
non--fragile
guaranteed cost control
LMI approach
