Han Jian, Liu Xiuhua, Wei Xinjiang, Hu Xin, Zhang Huifeng
School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China.
School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China.
ISA Trans. 2019 May;88:91-101. doi: 10.1016/j.isatra.2018.11.045. Epub 2018 Dec 13.
This paper addresses the problems of fault estimation and fault-tolerant control for a class of switched stochastic systems with sensor and actuator faults. A reduced-order fault estimation observer is designed to estimate the system states, actuator and sensor faults, simultaneously. In the observer design process, intermediate variables are introduced such that the differential information of the measurement output is not included in the designed observer. Compared with the existing results, the dimension of the proposed observer is reduced, and the sensor fault can be completely unknown and unbounded. An observer based fault-tolerant controller is designed to stabilize the switched stochastic systems. Under arbitrary switching signal, the designed observer and controller can ensure that both the estimation error system and the closed-loop system are mean-square exponentially stable with disturbance attenuation performance. At last, both a numerical example and a switched electrical circuit example verify the proposed method.
本文研究了一类具有传感器和执行器故障的切换随机系统的故障估计和容错控制问题。设计了一个降阶故障估计观测器，用于同时估计系统状态、执行器和传感器故障。在观测器设计过程中，引入中间变量，使得测量输出的微分信息不包含在设计的观测器中。与现有结果相比，所提出的观测器维数降低，且传感器故障可以完全未知且无界。设计了一种基于观测器的容错控制器，用于稳定切换随机系统。在任意切换信号下，所设计的观测器和控制器能够确保估计误差系统和闭环系统均为均方指数稳定，并具有干扰衰减性能。最后，通过一个数值例子和一个开关电路例子验证了所提方法。
