摘要
考虑了一类不确定切换组合大系统的鲁棒分散状态反馈镇定问题。利用单李雅普诺夫函数方法,得到了不确定切换组合大系统鲁棒可稳的充分条件。在互相关联的低维子系统的状态矩阵和控制输入矩阵同时带有未知、时变但有界的不确定性、各自的单个子系统均不能被镇定的情况下,基于凸组合技术和线性矩阵不等式方法,设计出分散状态反馈控制器及相应的分散切换策略,使得闭环系统渐近稳定。仿真结果表明所设计方法的正确有效性。
The problem of robust decentralized state feedback stabilization for a class of uncertain switched composite large-scale systems is considered. By using single Lyapunov function technique, sufficient conditions of robust stabilization for uncertain switched composite large-scale systems are obtained respectively. The pa- rameter uncertainties of interconnected subsystems are time-varying and unknown but are norm-bounded. Based on convex combination technique and LMI (linear matrix inequality) method, decentralized state feedback controllers and decentralized switching laws are designed to make the closed-loop systems be asymptotically stable under the assumption that each uncertain subsystem of subsystems can't be stabilized. The simulation results show the validity of the designed method.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2007年第6期958-961,共4页
Systems Engineering and Electronics
关键词
切换组合系统
分散状态反馈
凸组合
鲁棒镇定
线性矩阵不等式
switched composite systems
decentralized state feedback
convex combination
robust stabilization
LMI