Stabilization of Stochastic Markovian Jump Systems via a Network-Based Controller

This article studies the stabilization problem of continuous-time stochastic Markovian jump systems, where the related controller is connected by a communication network. Since the controller is network based, it is natural that the related controller's information should be sampled. Particular...

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Bibliographic Details
Published in:IEEE transactions on control of network systems 2024-03, Vol.11 (1), p.462-473
Main Authors: Wang, Guoliang, Song, Siyong, Li, Zhiqiang
Format: Article
Language:English
Subjects:
Brownian motion
Communication networks
Control systems
Controllers
Correlation
Electrical noise
Markov processes
Markovian jump system (MJS)
Network systems
networked control
stabilization
stochastic differential equation
Switches
Symmetric matrices
Systems analysis
Systems stability
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Summary:This article studies the stabilization problem of continuous-time stochastic Markovian jump systems, where the related controller is connected by a communication network. Since the controller is network based, it is natural that the related controller's information should be sampled. Particularly, both sampled state and switching signals are included in the controller, which complicates the system analysis and synthesis. An auxiliary system approach is proposed to deal with the above problems and results in a novel system model with a delayed exponential matrix. It is proven that the original system stability could be guaranteed by the constructed auxiliary system. Several stabilization results, whose controller is added in the drift section, are developed to deeply depend on the sampling interval. More extensions are further applied to a stochastic stabilization problem, whose controller is actually added in the diffusion part and act as Brownian noise. The advantages and superiorities of the methods in this article are shown by two numerical examples.
ISSN:2325-5870
2325-5870
2372-2533
DOI:10.1109/TCNS.2024.3355044