Fault Estimation and Fault-Tolerant Control of Markovian Jump System With Mixed Mode-Dependent Time-Varying Delays Via the Adaptive Observer Approach
Fault Estimation and Fault-Tolerant Control of Markovian Jump System With Mixed Mode-Dependent Time-Varying Delays Via the Adaptive Observer Approach
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DOI：
10.1115/1.4034840
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发表时间：
2017-03
影响因子：
1.7
通讯作者：
Dunke Lu;Xiaohang Li;Jin Liu;Guohui Zeng
中科院分区：
文献类型：
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作者：
Dunke Lu;Xiaohang Li;Jin Liu;Guohui Zeng
在本文中，首先针对一类具有混合模式相关时变延迟的马尔可夫跳跃系统解决了执行器和传感器故障同时估计的问题。利用广义系统技术，首先将原始系统转化为描述符系统；其状态包括原始状态和传感器故障状态。然后，为描述符系统设计马尔可夫自适应观测器，以提供状态、执行器故障和传感器故障的同时估计。根据在线获取的信息，构建了基于状态反馈的容错控制器，以在执行器故障时稳定闭环系统。使用 Lyapunov-Krasovskii 函数，根据线性矩阵不等式导出设计的观测器和控制器存在的充分必要条件，可以通过有效的数学工具轻松求解。最后，给出数值和实例来验证所提方法的有效性。
In this paper, the problem on simultaneous estimation of the actuator and sensor faults is first addressed for a class of Markovian jump systems with mixed mode-dependent time-varying delays. By using a generalized system technique, the original system is first transformed into a descriptor one; its states consist of original states and sensor fault. Then, a Markovian adaptive observer is designed for the descriptor system to provide simultaneous estimations of the state, actuator fault, and sensor fault. In the light of online acquired information, a state-feedback-based fault-tolerant controller is constructed to stabilize the closed-loop system in the presence of the actuator fault. Using the Lyapunov–Krasovskii functions, sufficient and necessity conditions for the existence of designed observer and controller are derived in terms of linear matrix inequalities, which can be solved readily through efficient mathematical tools. Finally, numerical and practical examples are given to validate the effectiveness of the proposed method.