相容指标约束下的线性时滞广义系统容错控制设计

Fault tolerant control system design for linear time-delay systems with multi-indices constraints

对一类线性不确定时滞广义系统,讨论了H∞指标和区域极点指标相容条件下的容错控制器的设计问题。在更一般、更实际的执行器故障模型下,利用线性矩阵不等式方法,建立了容错控制中两类指标的相容性理论。分析了与H∞指标相容的区域极点指标的取值范围,并在相容指标约束下给出了有效的控制器设计方法。仿真结果表明,该方法是有效的,且更能保证系统的动态性能。

The problem of reliable system design for linear time-delay systems with circular pole index, H-infinity constraints was discussed. A more practical and general model of actuator failures was adopted. Based on linear matrix inequality approach, the consistency theory on circular pole index and H-infinity constraints was set up, and the ranges of consistent indices were analyzed in detail. Furthermore, the effective controller design method for systems with constrains of consistent indices was provided. The simulation results show that the design method is effective and can guarantee the dynamic performance of the system.