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Observer-based prescribed-time lag bipartite consensus of nonlinear multi-agent systems under event-triggered
Jialong Tian1, Tao Li1, Xiaowen Zhao2
1School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, China.
Plos One
|May 21, 2026
Summary
This study presents a novel control scheme for nonlinear multi-agent systems (MASs) to achieve prescribed-time lag bipartite consensus (PTLBC). The approach utilizes a prescribed-time dynamic observer (PTDO) and an event-triggered mechanism to ensure efficient and timely system coordination.
Area of Science:
- Control Theory
- Systems Engineering
- Networked Systems
Background:
- Multi-agent systems (MASs) face challenges in achieving consensus due to lag time and convergence complexities.
- Observer design and event-triggered mechanisms are crucial for efficient MAS control and reduced communication overhead.
Purpose of the Study:
- To address the prescribed-time lag bipartite consensus (PTLBC) control problem in nonlinear MASs.
- To design a prescribed-time dynamic observer (PTDO) for state estimation within a set time.
- To develop an innovative event-triggered mechanism to minimize communication load.
Main Methods:
- Design of a prescribed-time dynamic observer (PTDO) for follower agents.
- Implementation of an event-triggered mechanism to reduce communication frequency.
- Development of a PTLBC control scheme integrating PTDO and event-triggered strategies.
- Lyapunov stability analysis to ensure system stability and consensus.
Main Results:
- The proposed PTLBC control scheme enables nonlinear MASs to achieve lag bipartite consensus within a prescribed time.
- The designed PTDO effectively estimates leader states within the specified time frame.
- The event-triggered mechanism successfully reduces communication consumption and avoids Zeno behavior.
- Sufficient conditions for stability were derived and validated through theoretical analysis.
Conclusions:
- The research successfully demonstrates the feasibility of achieving PTLBC in nonlinear MASs using the proposed observer and event-triggered control.
- The developed methods offer an efficient solution for coordination problems in MASs with time constraints and communication limitations.
- The findings contribute to the advancement of control strategies for complex networked systems.
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