一类线性不确定切换系统的鲁棒镇定  

Robust stabilization for a class of uncertain switched linear systems

作　　者：顾则全[1] 刘贺平[1] 李晓理[1] 廖福成[2] 

机构地区：[1]北京科技大学信息工程学院,北京100083 [2]北京科技大学应用科学学院,北京100083

出　　处：《北京科技大学学报》2007年第12期1273-1275,共3页Journal of University of Science and Technology Beijing

基　　金：国家自然科学基金资助项目(No.60374032);北京市教委重点学科共建项目;北京科技大学422高层次引进人才基金资助项目

摘　　要：考虑一类标称系统存在统一Lyapunov函数的线性不确定切换系统的鲁棒镇定问题,在不确定项满足一定限定条件下,利用完备性条件和统一Lyapunov函数方法,设计出鲁棒状态反馈控制器,使闭环系统仍然具有统一Lyapunov函数,从而在任意的切换策略下,确保闭环系统在其平衡点处是渐近稳定的.仿真结果表明所设计的控制器是有效的.Robust stabilization for a class of uncertain switched linear systems whose nominal systems have a common Lyapunov function was considered. With the certain restriction of uncertainty, a kind of robust controller of state feedback was constructed by using the completeness condition and common Lyapunov function technique. The closed-loop system still has a common Lyapunov function. The designed controller can guarantee the states of the closed-loop system asymptotically stable at the equilibrium point under an arbitrary switching strategy. Simulation result shows the validity of the designed controller.

关 键 词：切换系统 完备性 LYAPUNOV函数 状态反馈 鲁棒镇定 

分 类 号：TP273.3[自动化与计算机技术—检测技术与自动化装置]