Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems

Zihan Liu; Xisheng Zhan; Jie Wu; Huaicheng Yan; Zihan Liu; Xisheng Zhan; Jie Wu; Huaicheng Yan

doi:10.3934/math.2023373

AIMS Mathematics

2023, Volume 8, Issue 3: 7419-7436. doi: 10.3934/math.2023373

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Research article

Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems

1.
School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, Hubei 435002, China
2.
School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China

Received: 01 November 2022 Revised: 16 December 2022 Accepted: 23 December 2022 Published: 16 January 2023
MSC : 90C29, 93-08

This study researches the bipartite fixed-time output containment control problem of heterogeneous linear MASs with signed digraphs. The leaders' states can be estimated by a designed distributed bipartite compensator. Furthermore, each follower is allocated a time-varying coupling weight, an adaptive bipartite fixed-time protocol is raised which can estimate the leader's system matrix but also the leader's state. On the foundation of control protocols, followers' outputs are included by the convex hull constituted by leaders' outputs. In addition, by utilizing the Lyapunov function theory, some abundant speculative knowledges are deduced to guarantee adaptive bipartite fixed-time output containment of multi-agent systems. Finally, the feasibility of the anticipant theoretical results is verified by a set of simulation examples.
- adaptive control,
- multi-agent systems,
- antagonistic interactions,
- bipartite output containment,
- fixed-time control
Citation: Zihan Liu, Xisheng Zhan, Jie Wu, Huaicheng Yan. Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems[J]. AIMS Mathematics, 2023, 8(3): 7419-7436. doi: 10.3934/math.2023373

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Abstract

This study researches the bipartite fixed-time output containment control problem of heterogeneous linear MASs with signed digraphs. The leaders' states can be estimated by a designed distributed bipartite compensator. Furthermore, each follower is allocated a time-varying coupling weight, an adaptive bipartite fixed-time protocol is raised which can estimate the leader's system matrix but also the leader's state. On the foundation of control protocols, followers' outputs are included by the convex hull constituted by leaders' outputs. In addition, by utilizing the Lyapunov function theory, some abundant speculative knowledges are deduced to guarantee adaptive bipartite fixed-time output containment of multi-agent systems. Finally, the feasibility of the anticipant theoretical results is verified by a set of simulation examples.

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