一类关联时滞广义大系统的稳定性与分散镇定

Stability and Decentralized Stabilization for a Class of Interconnected Singular Large-scale System with Time-delay

该文研究了一类关联时滞广义大系统的稳定性和分散镇定问题,目的是设计一状态反馈分散控制器,使得闭环系统正则、脉冲自由且稳定。应用线性矩阵不等式方法,给出了该类关联时滞广义大系统的稳定性与分散镇定的充分条件。它们是一组严格的线性矩阵不等式。当这组条件可解时,给出了分散状态反馈控制器的严格线性矩阵不等式设计方法和控制律的表达式。最后给出算例仿真说明所给方法的应用。

This paper considers the problems of stability and decentralized stabilization for intercoImected singular large-scale system with time-delay. The aim is to design a state decentralized controller such that the closed-loop system is regular and that the impulse is free and stable. It elaborates the sufficient conditions of the stability and decentralized stabilization for the intercoimected singular large-scale system with time-delay in terms of strict linear matrix inequality by a linear matrix inequality （LMI） approach. Once this condition is feasible, a strict linear matrix inequality （LMI） design approach is developed with an explicit expression for decentralized state feedback controller. Finally, a numerical example is provided to demonstrate the application of the proposed method.