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Asynchronous Tracking Control of Leader-Follower Multiagent Systems With Input Uncertainties Over Switching Signed
IEEE Transactions on Cybernetics
|January 21, 2021
Summary
This study addresses asynchronous tracking control for multiagent systems with uncertain inputs on switching signed digraphs. A novel method using matrix analysis ensures system convergence and tracking control despite unsynchronized agent clocks.
Area of Science:
- Control Theory
- Networked Systems
- Graph Theory
Background:
- Signed digraphs model complex interactions in social, biological, and physical systems.
- Asynchronous tracking control is crucial for multiagent systems with communication delays and unsynchronized clocks.
- Input uncertainties and switching network topologies add complexity to control design.
Purpose of the Study:
- To formulate and solve the asynchronous tracking control problem for multiagent systems with input uncertainties on switching signed digraphs.
- To develop a novel method for analyzing the convergence of products of general substochastic matrices (PGSSM).
- To establish a spanning tree condition for achieving asynchronous tracking control.
Main Methods:
- Modeling asynchronous interactions using dynamically changing spanning subdigraphs.
- Transforming the asynchronous tracking problem into a convergence problem of PGSSM.
- Employing matrix analysis techniques and the composition of binary relations to solve the PGSSM convergence problem.
Main Results:
- A new method for dealing with the convergence of PGSSM is proposed.
- A spanning tree condition for asynchronous tracking control is established.
- The effectiveness of the theoretical findings is validated through numerical examples.
Conclusions:
- The proposed method effectively addresses asynchronous tracking control in complex multiagent systems.
- The established spanning tree condition provides a clear criterion for successful control.
- This research contributes to the understanding and control of networked systems with uncertainties and asynchronicity.
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