为了研究一类不确定性关联时滞广义大系统的分散鲁棒镇定问题,根据广义系统理论,采用线性矩阵不等式方法,研究了不确定性关联时滞广义大系统的鲁棒稳定性和分散鲁棒镇定控制器设计,分别导出了不确定性关联时滞广义大系统的鲁棒稳定和分散鲁棒镇定的充分条件,且都是一组严格的线性矩阵不等式。当条件成立时给出了分散鲁棒反馈控制律的表示式,并用数值实例对所得结果加以仿真,结果表明所得方法是有效的。
It considers the problem decentralized robust stabilization for uncertain interconnected singular large-scale systems with time-delay. According to singular systems theory, the problems of robust stability and the design of decentralized robust stabilization controller for uncertain interconnected singular largescale systems with time-delay are solved via linear matrix inequality (LMI) approach. The sufficient conditions of robust stable and decentralized robust stabilization for interconnected singular large-scale system with time-delay are given, respectively. They are a terms of strict linear matrix inequality. An explicit expression for decentralized robust state feedback controller is also given when this condition holds. Finally, it gives a numerical example to illustrate the effectiveness of the theoretical results.