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Relative States-Based Consensus for Sampled-Data Second-Order Multiagent Systems With Time-Varying Topology and
IEEE Transactions on Cybernetics
|April 6, 2023
Summary
This study introduces novel consensus protocols for multiagent systems, achieving synchronization without requiring zero rendezvous speed. The research demonstrates effective consensus under specific connectivity conditions and gain parameters.
Area of Science:
- Control Theory
- Distributed Systems
- Networked Systems
Background:
- Multiagent systems (MAS) face challenges in achieving consensus due to dynamic network topologies and communication delays.
- Existing consensus protocols often require specific conditions like zero rendezvous speed or global information, limiting their applicability.
Purpose of the Study:
- To investigate the consensus problem in sampled-data second-order integrator multiagent systems.
- To develop new consensus protocols that do not rely on absolute states and can handle switching topologies and time-varying delays.
- To establish sufficient conditions for achieving consensus in such complex systems.
Main Methods:
- Design of two novel consensus protocols tailored for sampled-data systems with switching topologies and time-varying delays.
- Analysis of system dynamics under proposed protocols to derive synchronization conditions.
- Utilization of concepts like scrambling graph and spanning tree for analyzing network connectivity.
Main Results:
- The proposed protocols achieve consensus without requiring zero rendezvous speed.
- Sufficient conditions for synchronization are derived, dependent on protocol choice and system parameters.
- Consensus is achievable with a sufficiently small control gain and periodic joint connectivity.
Conclusions:
- The developed consensus protocols are effective for sampled-data second-order integrator multiagent systems with switching topology and time-varying delay.
- The theoretical findings are validated through numerical simulations and practical examples, demonstrating the robustness of the approach.
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