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Prescribed-Time Bipartite Synchronization for General Linear Multiagent Systems: An Adaptive Dynamic Output-Feedback

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|March 24, 2025

Summary

This study solves the prescribed-time bipartite synchronization problem for multiagent systems using output-feedback. Novel adaptive strategies enable distributed control, achieving synchronization and observer estimation within a set time.

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Area of Science:

Control Theory
Networked Systems
Distributed Systems

Background:

Prescribed-time synchronization in multiagent systems is complex, requiring simultaneous state synchronization and observer estimation.
General linear dynamics and cooperative-antagonistic networks present unique challenges for output-feedback control.

Purpose of the Study:

To address the prescribed-time bipartite synchronization (PT-BS) problem for general linear multiagent systems with output-feedback.
To develop distributed adaptive strategies for achieving synchronization and observer estimation within a specified time.

Main Methods:

Utilizing time-varying Riccati equations (TVREs) to transform the synchronization problem into dynamic parameter design.
Designing time-varying-gain prescribed-time observers and observer-based protocols using TVRE solutions.
Introducing edge-based and node-based adaptive strategies for fully distributed control.

Main Results:

Successfully achieved state synchronization and observer estimation within the prescribed settling time.
Demonstrated the convergence of adaptive gains in a distributed manner.
Validated the effectiveness of the proposed methods through a simulation example.

Conclusions:

The proposed output-feedback control strategies effectively solve the PT-BS problem for general linear multiagent systems.
Adaptive strategies enable distributed implementation, overcoming the need for global information.
The methods guarantee synchronization and observer estimation within a prespecified time frame.