Passivity-Based Output Synchronization With Switching Graphs and Transmission Delays.

Area of Science:

• Control Theory
• Robotics
• Networked Systems

Background:

• Passive multiagent systems (MASs) face challenges in achieving output synchronization due to transmission delays and dynamic network topologies.
• Existing methods often struggle with robustness against varying delays and weak graph connectivity.

Purpose of the Study:

• To develop a novel logic-based distributed switching mechanism for robust output synchronization in passive MASs.
• To address the limitations of current synchronization techniques concerning transmission delays and graph switching.

Main Methods:

• A logic-based distributed switching mechanism is proposed to manage system interactions.
• The method analyzes synchronization under various delay conditions (constant, time-varying, distributed) and switching graph scenarios.
• The algorithm's effectiveness is demonstrated through application to robotic manipulator position synchronization.

Main Results:

• The proposed mechanism guarantees output synchronization for passive MASs despite arbitrarily large and bounded delays.
• The synchronization is robust under very weak connectivity assumptions, requiring only uniform joint strong connectivity and dwell-time switching.
• The approach offers a significant advantage over existing methods for passive MASs regarding delay tolerance.

Conclusions:

• The novel switching mechanism provides a robust solution for output synchronization in passive MASs with transmission delays and switching graphs.
• The method's applicability is confirmed by successful implementation in a multi-robot manipulator position synchronization task.
• This research advances the field by offering a delay-robust and connectivity-flexible approach to multiagent system synchronization.