Distributed H control of interconnected systems subject to networked gossip protocol and packet dropout

This paper studies the distributed H_{\infty} control problems for interconnected systems subject to networked gossip protocol and packet dropout. In interconnected systems, the communication among different sub-controllers are subject to gossip protocol, which means that each sub-controller communi...

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Bibliographic Details
Published inChinese Control Conference pp. 1148 - 1153
Main Authors Yu, Tao, Yu, Lanlin
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 25.07.2022
Subjects
Distributed control
gossip protocol
Interconnected systems
packet dropout
Protocols
Scheduling
Stability analysis
Stochastic processes
Stochastic systems
Sufficient conditions
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Summary:This paper studies the distributed H_{\infty} control problems for interconnected systems subject to networked gossip protocol and packet dropout. In interconnected systems, the communication among different sub-controllers are subject to gossip protocol, which means that each sub-controller communicates with only one randomly chosen neighbor instead of communicating with all neighbors at each instant. Furthermore, this paper also considers the packet dropout phenomenon in the communication network. According to Lyapunov method, sufficient conditions are given in terms of linear matrix inequalities (LMIs) to ensure the exponentially mean-square stability with H_{\infty} performance of the closed-loop system. Distributed controllers can be designed by solving the obtained LMIs. Finally, the effectiveness and superiority of the proposed method are proved by two numerical examples.
ISSN:1934-1768
DOI:10.23919/CCC55666.2022.9902469