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IET Cyber-Systems and Robotics
IET Cyber-Systems and Robotics  2021, Vol. 3 Issue (2): 164-172    DOI: 10.1049/csy2.12011
    
H ∞ containment control with time-varying delays and communicate noise under semi-Markov switching topologies
H ∞ containment control with time-varying delays and communicate noise under semi-Markov switching topologies
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摘要： This article focuses on H ∞ containment control and the communication network topologies that are driven by a semi-Markov chain. Moreover, the communication channels between agents exist time-varying delays and noise. Firstly, the authors extend the Markov switching topologies to semi-Markov switching topologies. Because the transition rate of the semi-Markov switching topology is time-varying and depends on the sojourn time, the analysis of containment control under semi-Markov switching topology becomes more challenging. Secondly, a control protocol with time-varying delays is adopted. The error function is derived by the property of graph theory, convex hull and communication noise. Hence, the problem of H ∞ containment control is transformed into the stability problem of the semi-Markov jump system. To avoid the zero initial condition in the traditional H ∞ control approach, a novel performance function is constructed with the initial condition considered. Finally, simulation experiments are provided to verify the effectiveness of the proposed algorithm.
Abstract: This article focuses on H ∞ containment control and the communication network topologies that are driven by a semi-Markov chain. Moreover, the communication channels between agents exist time-varying delays and noise. Firstly, the authors extend the Markov switching topologies to semi-Markov switching topologies. Because the transition rate of the semi-Markov switching topology is time-varying and depends on the sojourn time, the analysis of containment control under semi-Markov switching topology becomes more challenging. Secondly, a control protocol with time-varying delays is adopted. The error function is derived by the property of graph theory, convex hull and communication noise. Hence, the problem of H ∞ containment control is transformed into the stability problem of the semi-Markov jump system. To avoid the zero initial condition in the traditional H ∞ control approach, a novel performance function is constructed with the initial condition considered. Finally, simulation experiments are provided to verify the effectiveness of the proposed algorithm.
出版日期: 2021-04-21
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Xinfeng Ru
Mengjie Wu
Weifeng Liu
Quanbo Ge
Zhangming Peng

引用本文:

Xinfeng Ru, Mengjie Wu, Weifeng Liu, Quanbo Ge, Zhangming Peng. H ∞ containment control with time-varying delays and communicate noise under semi-Markov switching topologies. IET Cyber-Systems and Robotics, 2021, 3(2): 164-172.

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https://www.zjujournals.com/iet-csr/CN/10.1049/csy2.12011    或    https://www.zjujournals.com/iet-csr/CN/Y2021/V3/I2/164

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