Interval Observer-based Fault-tolerant Control for A Class of Positive Markov Jump Systems

2022 ◽  
Author(s):  
Xiaoqi Song ◽  
James Lam ◽  
Bohao Zhu ◽  
Chenchen Fan
Keyword(s):  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Interval Observer ◽  
Jump Systems

scholarly journals Asynchronous Adaptive Fault-Tolerant Control for Markov Jump Systems with Actuator Failures and Unknown Nonlinear Disturbances

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10 ◽  
Author(s):  
Jian-Ning Li ◽  
Kai-Yang Gu ◽  
Xiao Liu ◽  
Xiao-Bin Xu
Keyword(s):  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Original System ◽  
Closed Loop System ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Actuator Failures ◽  
Adaptive Law ◽  
Nonlinear Disturbances ◽  
Jump Systems

This article investigates an asynchronous adaptive fault-tolerant control problem for Markov jump systems (MJSs) with actuator failures and absolutely unknown nonlinear disturbances. The hidden Markov model (HMM) is used to describe the asynchronization phenomenon between the controller and the modes of the original system. Moreover, by using the designed adaptive law, the values of actuator partial failures and the bounds of the unknown nonlinear disturbances can be estimated, respectively. Furthermore, the HMM-based asynchronous adaptive fault-tolerant controller is provided to ensure that the closed-loop system is asymptotically stable despite of unknown nonlinear disturbances. Finally, numerical examples are given to show the effectiveness of the proposed method.

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