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Observability of Discrete-Time Two-Time-Scale Multi-Agent Systems with Heterogeneous Features under Leader-Based Architecture

Author

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  • Mengqi Gu

    (School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huaian 223300, China
    College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
    Jiangsu Engineering Lab for IOT Intelligent Robots (IOTRobot), Nanjing 210023, China)

  • Guo-Ping Jiang

    (College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
    Jiangsu Engineering Lab for IOT Intelligent Robots (IOTRobot), Nanjing 210023, China)

Abstract

This paper investigates the observability of discrete-time two-time-scale multi-agent systems with heterogeneous features under leader–follower architecture. First, a singular perturbation difference model for the discussed system is established based on consensus agreement. Second, to eliminate the numerical ill-posed problem that may arise from the singularly perturbed small parameter that distinguishes different time scales in the observability analysis, the order of the system model is reduced using the boundary layer theory of the singular perturbation system to obtain a slow-time-scale subsystem and a fast-time-scale subsystem. Then, based on the matrix theory, some algebraic and graphical features that guarantee the observability of the system are obtained. Finally, the validity of the theoretical results is verified by a numerical example.

Suggested Citation

  • Mengqi Gu & Guo-Ping Jiang, 2023. "Observability of Discrete-Time Two-Time-Scale Multi-Agent Systems with Heterogeneous Features under Leader-Based Architecture," Mathematics, MDPI, vol. 11(8), pages 1-23, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1907-:d:1125948
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    References listed on IDEAS

    as
    1. Bo Liu & Ningsheng Xu & Housheng Su & Licheng Wu & Jiahui Bai, 2019. "On the Observability of Leader-Based Multiagent Systems with Fixed Topology," Complexity, Hindawi, vol. 2019, pages 1-10, November.
    2. Wu, Shuchen & Sun, Xiaohui & Li, Xiaodi & Wang, Haipeng, 2020. "On controllability and observability of impulsive control systems with delayed impulses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 65-78.
    3. Long, Mingkang & Su, Housheng & Liu, Bo, 2019. "Second-order controllability of two-time-scale multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 299-313.
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