不确定切换组合大系统的鲁棒分散控制

Robust decentralized control for uncertain switched composite large-scale systems

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.