具有非线性扰动的广义系统的鲁棒H_∞控制  

Robust H-infinity control for singular systems with 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,南京210094

出　　处：《控制与决策》2009年第3期356-360,共5页Control and Decision

基　　金：国家自然科学基金项目(60474078)

摘　　要：研究具有非线性结构扰动广义系统的鲁棒H∞控制和鲁棒H∞保性能控制问题,该不确定性为时间和状态的函数,且满足Lipschitz条件.目的是分别设计系统的鲁棒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.当这些条件可解时,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.最后通过一个仿真算例说明了所给出方法的应用.This paper discusses robust H-infinity control problems for singular systems with nonlinear structured perturbation. The uncertainty is a function of time and system state, and satisfies Lipschitz constraint. 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 existence of robust H-infinity controller and robust H-infinity guaranteed cost controller are presented, respectively. When these LMIs are feasible, 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 非线性广义系统 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]