Robust fault estimation and fault-tolerant control for Markovian jump systems with general uncertain transition rates
Robust fault estimation and fault-tolerant control for Markovian jump systems with general uncertain transition rates
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DOI：
10.1016/j.jfranklin.2018.01.049
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发表时间：
2018-05
期刊：
影响因子：
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通讯作者：
Xiaohang Li;H. Karimi;Yue-ying Wang;Dunke Lu;S. Guo
中科院分区：
文献类型：
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作者：
Xiaohang Li;H. Karimi;Yue-ying Wang;Dunke Lu;S. Guo
研究了一类马尔可夫跳变系统在故障和干扰共同作用下的执行器和传感器同时故障估计及容错控制问题。首先将传感器故障扩展为辅助状态，将原系统转化为广义系统。其次，设计了广义系统的自适应观测器，利用所设计的自适应律对执行器故障进行调节。基于执行器故障的估计，容错控制策略，因此提出了稳定的闭环系统对执行器故障，传感器故障和干扰。根据线性矩阵不等式推导出观测器和控制器存在的充分条件。最后通过实例验证了该方法的有效性.
This paper is concerned with the problems on simultaneous actuator and sensor fault estimation as well as the fault-tolerant control for a class of Markovian jump systems subjected to faults and disturbances. Firstly, the original system is converted into a descriptor system by extending the sensor faults as auxiliary states. Secondly, an adaptive observer is designed for the descriptor system, in which the actuator faults are adjusted by the designed adaptive law. Based on the estimations of the actuator faults, a fault-tolerant control strategy is therefore proposed to stabilize the closed-loop system against actuator faults, sensor faults and disturbances. Sufficient conditions for the existence of the observer and controller are derived in accordance with linear matrix inequalities. Finally, some practical examples are delivered to illustrate the validation and effectiveness of the proposed method.