Two-Dimensional Asynchronous Sliding-Mode Control of Markov Jump Roesser Systems

In this article, asynchronous sliding-mode control (SMC) is investigated for 2-D discrete-time Markov jump systems. As the system modes are not always accessible to the controller, the hidden Markov model is employed to describe the asynchronization between the system modes and controller. A new 2-D...

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Bibliographic Details
Published in:IEEE transactions on cybernetics 2022-04, Vol.52 (4), p.2543-2552
Main Authors: Tao, Yue-Yue, Wu, Zheng-Guang, Guo, Yingxin
Format: Article
Language:English
Subjects:
2-D systems
Algorithms
Attenuation
Boundary conditions
Control systems
Controllers
Discrete time systems
Hidden Markov model
Hidden Markov models
Liapunov functions
Linear matrix inequalities
Markov chains
Markov jump systems
Markov processes
Mathematical analysis
Mathematical model
Sliding mode control
sliding-mode control (SMC)
System dynamics
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Summary:In this article, asynchronous sliding-mode control (SMC) is investigated for 2-D discrete-time Markov jump systems. As the system modes are not always accessible to the controller, the hidden Markov model is employed to describe the asynchronization between the system modes and controller. A new 2-D sliding surface is constructed and the corresponding asynchronous SMC law is designed under the framework of the hidden Markov model. By Lyapunov function and linear matrix inequality (LMI) approaches, the reachability of system dynamics to the predefined sliding surface is investigated, and sufficient conditions are established to guarantee that the underlying 2-D system is asymptotically mean-square stable (AMSS) with an H_{\infty } disturbance attenuation performance. Then, an algorithm is provided to derive the asynchronous 2D-SMC law. Finally, an example is given to verify the validity and effectiveness of the new SMC law design algorithm.
ISSN:2168-2267
2168-2275
DOI:10.1109/TCYB.2020.3006329