Stability Analysis of Complex Network Control System With Dynamical Topology and Delays

This article studies the issue of stability for complex network control systems, which comprise multisystems and multicontrollers. These systems and controllers are coupled with each other and linked by communication networks with random delays. The system and controller network topologies are subje...

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Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 51; no. 11; pp. 7228 - 7237
Main Authors Li, Meng, Chen, Yong, Lim, Cheng-Chew
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Communication networks
Complex network control systems (CNCSs)
Complex networks
Control stability
Control systems
Controllers
Delays
dual-Markov model
Dynamic stability
hidden Markov model
Hidden Markov models
jump topology
Linear matrix inequalities
Markov chains
Mathematical analysis
Network control
Network topologies
random delay
Stability analysis
Topology
Online AccessGet full text
ISSN2168-2216
2168-2232
DOI10.1109/TSMC.2020.2967102

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Abstract This article studies the issue of stability for complex network control systems, which comprise multisystems and multicontrollers. These systems and controllers are coupled with each other and linked by communication networks with random delays. The system and controller network topologies are subject to jump, and the dynamic is captured by two models, as: 1) dual-Markov model and 2) hidden Markov model. Correspondingly, the stability conditions based on the Lyapunov-functional method are given for closed-loop stability. Then, the stability conditions are derived by transforming into the linear matrix inequality-based constraint minimization problem for solving controller gains. An illustration is carried out to testify the validation and potentials of the proposed new design techniques.
AbstractList This article studies the issue of stability for complex network control systems, which comprise multisystems and multicontrollers. These systems and controllers are coupled with each other and linked by communication networks with random delays. The system and controller network topologies are subject to jump, and the dynamic is captured by two models, as: 1) dual-Markov model and 2) hidden Markov model. Correspondingly, the stability conditions based on the Lyapunov-functional method are given for closed-loop stability. Then, the stability conditions are derived by transforming into the linear matrix inequality-based constraint minimization problem for solving controller gains. An illustration is carried out to testify the validation and potentials of the proposed new design techniques.
Author Lim, Cheng-Chew
Chen, Yong
Li, Meng
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SubjectTerms Communication networks
Complex network control systems (CNCSs)
Complex networks
Control stability
Control systems
Controllers
Delays
dual-Markov model
Dynamic stability
hidden Markov model
Hidden Markov models
jump topology
Linear matrix inequalities
Markov chains
Mathematical analysis
Network control
Network topologies
random delay
Stability analysis
Topology
Title Stability Analysis of Complex Network Control System With Dynamical Topology and Delays
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Volume 51
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