切换系统的同时故障估计与容错控制
Simultaneous fault estimation and fault tolerance control for switching systems

当切换系统发生故障时, 通常需要依次进行故障诊断和容错控制. 为了提高切换系统故障诊断的可靠性和 容错控制的及时性, 本文提出一种同时故障估计与容错控制方法. 针对满足平均驻留时间约束的线性切换系统, 首 先建立了基于状态观测器的同时故障估计与容错控制器, 并将其设计问题转化为了加权H1性能指标下增广误差 系统的多目标求解问题. 然后使用平均驻留时间技术和多Lyapunov函数方法设计了故障估计与容错控制器的参数, 又通过松弛矩阵方法进一步得到了保守性较低的结果. 最后, 利用一个例子对本文所提方法进行了仿真, 证实了该 方法的有效性.
When fault occurs in the switching systems, fault diagnosis and fault tolerance control are usually required to be implemented successively. In order to improve the reliability of fault diagnosis and the timeliness of fault tolerance control for switching systems, this paper proposes a simultaneous fault estimation and fault tolerance control method. For linear switching systems satisfying the average dwell time constraint, simultaneous fault estimation and fault tolerance controller is firstly established based on the state observer, and the design problem is formulated as solving a multi-objective problem of the augmented error system under weighted H1 performance index. Then the average dwell time technique and multiple Lyapunov functions method are used to design the parameters for the proposed simultaneous fault estimator and fault tolerance controller. Moreover, less conservative result is obtained through the relaxation matrix method. Finally, a numerical example is simulated to verify the effectiveness of the proposed method.