Title
Finite-Time Composite Disturbance Rejection Control for Discrete-Time Markovian Jump Systems
Abstract
In this article, the compositedisturbance rejection control approach is established for discrete-time Markovian jump systems with unknown external disturbance. With the transformed system in the regular form, a new mode-dependent disturbance observer is proposed to estimate the unknown disturbance in the absence of the exosystem of the disturbance. Then, the chattering-free controller is designed in the backstepping framework, and the disturbance estimate is incorporated to achieve active disturbance rejection. It can be seen that with the proposed control approach, both the states of the disturbance estimation error systems and the closed-loop systems are finite-time bounded in mean square. Finally, two numerical examples are presented to show the effectiveness of the proposed control approaches.
Year
DOI
Venue
2022
10.1109/TAC.2021.3136775
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Discrete-time Markovian jump systems (MJSs),disturbance observer,disturbance rejection
Journal
67
Issue
ISSN
Citations 
12
0018-9286
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Jinhui Zhang161038.03
ZG Wu200.34
Yuanqing Xia33132232.57