非线性扰动离散广义时滞系统的鲁棒H∞控制  

Robust H-infinity control for discrete-time singular systems with time-delay and nonlinear perturbation

作　　者：沃松林[1] 史国栋[1] 邹云[2] 

机构地区：[1]江苏技术师范学院电气信息工程学院,江苏常州213001 [2]南京理工大学自动化学院,江苏南京210094

出　　处：《系统工程与电子技术》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

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.

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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]