Sensor Fault Estimation and Fault-Tolerant Control for a Class of Takagi-Sugeno Markovian Jump Systems with Partially Unknown Transition Rates Based on the Reduced-Order Observer
Sensor Fault Estimation and Fault-Tolerant Control for a Class of Takagi-Sugeno Markovian Jump Systems with Partially Unknown Transition Rates Based on the Reduced-Order Observer
复制标题
DOI：
10.1007/s11424-018-6326-6
复制
发表时间：
2018-12
影响因子：
2.1
通讯作者：
Xiaohang Li;Dunke Lu;Wei Zhang-;F. Zhu
中科院分区：
文献类型：
--
作者：
Xiaohang Li;Dunke Lu;Wei Zhang-;F. Zhu
This paper addresses the problem on sensor fault estimation and fault-tolerant control for a class of Takagi-Sugeno Markovian jump systems, which are subjected to sensor faults and partially unknown transition rates. First, the original plant is extended to a descriptor system, where the original states and the sensor faults are assembled into the new state vector.然后，为扩展系统设计了一种新颖的降阶观测器，以同时估计不可测状态和传感器故障。 Second, by using the estimated states obtained from the designed observer, a statefeedback fault-tolerant control strategy is developed to make the resulting closed-loop control system stochastically stable.基于线性矩阵不等式技术，提出了计算观测器增益和控制增益的算法。 The effectiveness of the proposed observer and controller are validated by a numerical example and a compared study, respectively, and the simulation results reveal that the proposed method can successfully estimate the sensor faults and guarantee the stochastic stability of the resulting closed-loop system.
This paper addresses the problem on sensor fault estimation and fault-tolerant control for a class of Takagi-Sugeno Markovian jump systems, which are subjected to sensor faults and partially unknown transition rates. First, the original plant is extended to a descriptor system, where the original states and the sensor faults are assembled into the new state vector. Then, a novel reducedorder observer is designed for the extended system to simultaneously estimate the immeasurable states and sensor faults. Second, by using the estimated states obtained from the designed observer, a statefeedback fault-tolerant control strategy is developed to make the resulting closed-loop control system stochastically stable. Based on linear matrix inequality technique, algorithms are presented to compute the observer gains and control gains. The effectiveness of the proposed observer and controller are validated by a numerical example and a compared study, respectively, and the simulation results reveal that the proposed method can successfully estimate the sensor faults and guarantee the stochastic stability of the resulting closed-loop system.