相容指标约束下离散不确定系统的满意容错控制

针对一类线性离散不确定系统,研究了当执行器发生故障时,扇形区域极点指标、H∞指标和方差指标约束下的满意容错控制问题。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,建立了容错控制中三类指标的相容性理论,并在相容指标约束下给出了有效的控制器设计方法。数值算例验证了结果的有效性。

Satisfactory Fault - tolerant Controller Design for Discrete Uncertain Systems with Constrains of Consistent Indices

The problem of satisfactory fault-tolerant control system design for linear discrete uncertain systems against actuator failures with sector pole index,steady variance index and H-infinity constraints is addressed.A more practical and general model of actuator failures is adopted.Based on linear matrix inequality approach,the consistency theory on sector pole index,steady variance index and H-infinity constraints is set up,and the ranges of consistent indices are analyzed in details.Furthermore,the effective controller design method for systems with constraints of consistent indices is proved.Numerical examples are given to illustrate the validity of the design method.