不确定离散切换系统具有极点约束的保性能控制  

Guaranteed cost control with pole constraints for uncertain discrete-time switched systems

作　　者：张颖[1] 段广仁[1] 

机构地区：[1]哈尔滨工业大学控制理论与制导技术研究中心,哈尔滨150001

出　　处：《控制与决策》2007年第11期1269-1273,1279,共6页Control and Decision

基　　金：国家自然科学基金项目(60474015);长江学者和创新团队发展计划项目

摘　　要：对一类含有范数有界不确定性的离散切换系统和一个二次型性能指标,研究其具有闭环极点约束的鲁棒状态反馈保性能控制问题.利用二次Lyapunov函数方法和线性矩阵不等式技术,给出了鲁棒保性能控制器存在的一个充分条件,在所构造切换规则下,闭环系统二次D稳定,且满足给定的性能指标.在此基础上,将次优保性能控制器设计问题转化为一组线性矩阵不等式约束下的凸优化问题.数值例子说明了所提方法的有效性.For a class of discrete-time switched systems with norm-bounded uncertainties and a quadratic cost index, the problem of designing a guaranteed cost state feedback controller with pole constraints is considered. A sufficient condition for the existence of robust guaranteed controllers is derived by using a quadratic Lyapunov function approach and linear matrix inequality technique. Based on a constructed switching law, the closed-loop system is quadratic D- stable and the closed-loop cost function value is not more than a specified upper bound. Furthermore, the design problem of the suboptimal guaranteed cost controller is turned into a convex optimization problem with linear matrix inequalities constraints. A numerical example shows the effect of the proposed design approach.

关 键 词：切换系统 保性能控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]