具有极点约束的鲁棒H_2/H_∞满意容错控制

Robust H_2/H_∞ satisfactory fault-tolerant control with pole constraints

针对不确定性不满足匹配条件的随机线性离散系统,研究执行器发生故障时满意容错控制器的设计问题.在更一般的连续型执行器故障模型下,所设计的控制器可保证闭环系统同时满足区域极点指标、H∞范数指标和H2性能指标约束.建立了3类指标的相容性,并给出了相容指标约束下控制器存在的充分条件和设计步骤.仿真实例验证了该方法的有效性,并通过与不考虑故障的系统进行比较,说明对系统进行满意容错控制的必要性.

For a class of stochastic linear discrete-time systems with two controlled outputs and uncertainties which do not satisfy matching conditions, the problem of satisfactory fault-tolerant controller design against actuator failures is presented. Based on a more practical and general model of actuator continuous gain failures, the closed-loop systems are guaranteed by the designed controller to meet the required constraints on regional pole index, H index and He performance index simultaneously. Meanwhile, the consistency of the performance indices mentioned earlier is also set up for fault-tolerant control. Furthermore, sufficient conditions for the existence of satisfactory fault-tolerant controller are given and the effective design steps with constraints of consistent indices are provided. A simulation example shows the effectiveness of the proposed method. Compared with the systems taking no account of failures, the necessity of such a satisfactory fault-tolerant control is proved further.