摘要
研究了扰动是满足Lipschitz条件的一类非线性离散广义时滞系统的鲁棒H∞控制和鲁棒H∞保性能控制问题。目的是设计系统的鲁棒H∞控制器和鲁棒H∞保性能控制器。应用线性矩阵不等式方法,分别给出了系统的鲁棒H∞控制器和鲁棒H∞保性能控制器存在的充分条件;并在这些条件可解时,分别给出了鲁棒H∞控制器和鲁棒H∞保性能控制器的表达式。最后用例子说明了所给方法的应用。
This paper discusses the robust H-infinity control problem and robust H-infinity guaranteed cost control problem for discrete-time singular systems with time-delay and nonlinear perturbation, which satisfies Lipschitz condition. The aims are to design a robust H-infinity controller and a robust H-infinity guaranteed cost controller, respectively. By means of the linear matrix inequality approach （LMI）, sufficient conditions for ex- istence of robust H-infinity controller and robust H-infinity guaranteed cost controller are presented, respectively. When these LMIs are feasible, the explicit expressions of robust H-infinity controller and robust H-infinity guaranteed cost controller are obtained, respectively. Finally, a numerical example is provided to demonstrate the application of the proposed method.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2009年第4期916-921,共6页
Systems Engineering and Electronics
基金
国家自然科学基金(60474078)
江苏省青蓝工程资助课题
关键词
扰动系统
离散广义系统
时滞
鲁棒H∞控制
保性能控制
LMI方法
perturbation system
discrete-time singular system
time-delay
robust H-infinity control
guaranteed cost control
LMI approach
