The primary concern of the present chapter is to address the distributed leader-following consensusLeader-follower consensus tracking problem for a network of agents governed by uncertain diffusion PDEs with the Neumann-type boundary actuation and uncertain spatially varying diffusivity. Except for the “leader” agent that generates the reference profile to be tracked, all remaining agents, called “followers,” are required to asymptotically track the infinite-dimensional time-varying leader state. The dynamics of the follower agents are affected by smooth boundary disturbances unbounded in magnitude and with a bounded derivative. The proposed local interaction rule is developed by assuming that only neighboring collocated boundary sensing is available, and it consists of a nonlinear sliding-mode-based protocol. The performance and stability properties of the resulting infinite-dimensional networked system are then formally studied by means of Lyapunov analysis. The analysis demonstrates the global exponential stability of the resulting error boundary-value problem in a suitable Sobolev spaceSobolev spaces. The effectiveness of the developed control scheme is supported by simulation results.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Second-Order Sliding-Mode Leader-Follower Consensus for Networked Uncertain Diffusion PDEs with Spatially Varying Diffusivity


    Weitere Titelangaben:

    Studies in Systems, Decision and Control


    Beteiligte:
    Oliveira, Tiago Roux (Herausgeber:in) / Fridman, Leonid (Herausgeber:in) / Hsu, Liu (Herausgeber:in) / Pilloni, Alessandro (Autor:in) / Pisano, Alessandro (Autor:in) / Usai, Elio (Autor:in) / Orlov, Yury (Autor:in)


    Erscheinungsdatum :

    01.11.2023


    Format / Umfang :

    27 pages





    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    Semi-global leader-follower consensus for networked unmanned multi-aircraft systems with input saturation

    Munoz, Filiberto / Espinoza, Eduardo S. / Carrillo, Luis R. Garcia et al. | IEEE | 2017


    Obstacle-aware UAV navigation based on a leader-follower consensus protocol

    Rojo-Rodriguez, E. U. / Rojo-Rodriguez, E. G. / Ollervides-Vazquez, E. J. et al. | IEEE | 2022


    LQR-based Optimal Leader-follower Consensus in Heterogeneous Multi-agent Systems

    Wang, Jingrong / Li, Zonggang / Du, Yajiang | British Library Online Contents | 2018


    Impact of Mobility on Consensus Building in the Leader-Follower Model

    Kandalan, Roya Norouzi / Alla, Sindhu / Rezaeian, Nima Hassan | IEEE | 2019