带有执行器故障和分布时滞的网络控制系统容错H∞控制

摘要

考虑带有执行器故障和分布时滞的网络控制系统(NCSs),研究了一类鲁棒容错H∞控制器的设计问题.首先,把通信网络中的时延和丢包现象处理为等效时滞,再结合执行器的故障矩阵,建立闭环控制系统.然后,根据Lyapunov稳定性理论,得到保证闭环NCSs渐近稳定的容错H∞性能判据;利用线性矩阵不等式技术(LMI),给出控制器参数的求解方法.最后,仿真验证了所提控制器设计方法的有效性.%Considering the networked control systems ( NCSs) with actuator failures and distributed delays, the design of fault-tolerant H∞ controller was discussed. First, having the time delays and packet dropouts in communication network treated as equivalent delays and the actuator fault matrix combined to establish a closed-loop system;second, having Lyapunov stability theory based to get a fault-tolerant H∞ criterion which guaranteeing the asymptotic ability of the closed-loop NCSs;finally, having the linear matrix inequality ( LMI) technique utilized to get the method of obtaining controller parameters. The simulation validates effectiveness of this method proposed.