关联时滞广义大系统的分散鲁棒镇定控制器设计

摘要

研究一类具有数值界不确定性关联时滞广义大系统的分散鲁棒镇定问题.构造Lyapunov 函数,通过适当地放大不等式,利用矩阵Schur补的性质,将问题转化为一组线性矩阵不等式(LMI)的求解问题.给出了系统镇定控制器存在的条件.当条件成立时,给出了分散鲁棒反馈控制律的表示式.数值算例说明了控制器设计方法的可行性.%The decentralized robust stabilization problem of a class of singular large-scale uncertain systems with time-delay was studied. Lyapunov function is constructed. By properly enlarging inequality and using the Schur-fill nature of matrix, problems are solved by LMI techniques. The existing conditions of decentralized robust state feedback controller are given. An explicit expression for decentralized robust state feedback controller is also given when this condition holds. A numerical example is given to demonstrate the feasibility of the controller.