马尔可夫跳变系统基于观测器的有限时间容错控制

针对具有一般不确定转移速率的单边Lipschitz Markovian跳变系统,设计了有限时间故障估计观测器和容错控制器.首先,提出一种自适应的有限时间故障估计观测器,它对未知输入具有鲁棒性,能够同时估计出系统的状态、执行器故障和传感器故障,并确保了误差系统的H_∞有限时间有界.然后,基于所估计的状态和执行器故障,提出一种有限时间故障容错控制方法确保闭环系统H_∞有限时间有界.通过线性矩阵不等式的形式,给出了所设计的有限时间观测器和控制器存在的充分条件.最后,通过一个仿真实例,验证了所提方法的有效性.

Observer-based Finite-time Fault-tolerant Control for Markovian Jump Systems

This study focuses on the finite-time fault estimation observer and fault-tolerant controller design for onesided Lipschitz Markovian jump systems including generally uncertain transition rates.First,we propose an adaptive finite-time fault estimation observer,which is robust to unknown input,that can simultaneously estimate the states and actuator and sensor faults and ensure that the error dynamics is H∞finite-time-bounded.Then,on the basis of the estimated states and actuator fault,a finite-time fault-tolerant control strategy is designed to guarantee the H∞finite-time-boundedness of the closed-loop system.Sufficient conditions for the existence of the designed finite-time observer and controller are obtained in terms of linear matrix inequalities.Finally,a practical example is given to show the validation of the proposed method.