一类时滞组合系统的优化保成本容错控制

Optimal Guaranteed Cost Fault-tolerant Control for a Class of Interconnected Time-delay Systems

对一类时滞组合系统,研究了依赖时滞的分散状态反馈可靠保成本控制器的设计问题.采用线性矩阵不等式方法,导出了时滞依赖可靠保成本控制器的存在条件和参数化表示.进而,通过建立和求解一个线性矩阵不等式组约束的凸优化问题,给出了优化保成本容错控制器的设计方法.仿真实例验证了这个设计法的有效性.*

This paper deals with the reliable delay-dependent decentralized staie-fecdback guaranteed cost controller design problem for large-scale interconnected time-delay systems. Based on linear matrix inequality（LMI） approach, the existence conditions and parameterized representation of the reliable delay-dependent guaranteed cost controllers are developed. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost fault-tolerant controller. A simulation example shows the efficiency of the design method.