满足圆形极点、方差指标与H∞性能约束的满意容错控制

对一类具有范数有界不确定性的线性连续系统,研究了当执行器发生故障时的静态输出反馈满意容错控制问题。在更实际、更一般的执行器连续增益故障模型下,所设计的控制器确保闭环系统同时满足期望的区域极点指标、稳态方差指标和H∞范数指标约束。同时分析了容错控制中三类期望指标的相容性,并给出了静态输出反馈满意容错控制器存在的充分条件和设计方法。仿真算例验证了方法的有效性,并且通过与不考虑故障的系统比较,进一步说明对系统进行满意容错控制的必要性。

Satisfactory Fault-tolerant Control with Constrains on Circular Pole, Variance Index and H∞ Performance

The problem of static output feedback satisfactory fault-tolerant control for linear continuous stochastic systems in the presence of parametric uncertainties was investigated.Based on a more practical and general model of actuator continuous gain faults,the closed-loop systems were guaranteed by the designed controller to meet the required constrains on regional pole index,steady variance index and H-infinity index simultaneously.Meanwhile,the consistency of the performance indices mentioned earlier was discussed for fault-tolerant control.Furthermore,the effective static output feedback satisfactory fault-tolerant controller design method for systems with constrains of consistent indices was provided.A simulation example shows the validity of the proposed method.Compared with the systems taking no account of failures,the necessity of such a satisfactory fault-tolerant control was proved further.