线性时滞系统主动容错H_∞控制

Active fault tolerant H_∞ control for linear time-delay systems

采用一种具有广义内模控制结构的反馈控制器,研究一类线性时滞系统的主动容错H∞控制问题。针对可由外系统描述其动态行为的故障,设计了基于观测器的故障估计器,并在此基础上将在线故障估计信息用于控制器的故障补偿,提出了基于广义内模控制的主动容错控制系统设计方法。应用时滞系统有界实引理,推导并证明了问题可解的依赖于时滞的充分条件,给出了这类主动容错控制系统设计的具体步骤。算例验证了该方法的有效性。

The problem of active fault tolerant H∞ control for a class of linear time-delay systems is dealt with by employing generalized internal model control architecture （GIMC）. For the possible fault whose dynamic behavior can be described by an exosystem, an observer-based fault estimator is used to estimate the fault. Based on the fault estimation, the GIMC active fault tolerant control system can implement online fault accommodation, and its design approach is proposed. A delay dependent sufficient condition on the existence of such an active fault tolerant control system is derived by applying a bound real lemma for linear time-delay systems, and a brief design procedure is also provided. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.