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Invariant set based distributed protocol for synchronization of discrete-time heterogeneous systems with nonlinear
Zhikun She1, Qiqi Hao1, Quanyi Liang2
1SKLSDE, LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, China.
ISA Transactions
|August 3, 2019
Summary
This study introduces an invariant set-based distributed control protocol for synchronizing discrete-time heterogeneous multiagent systems. The method verifies synchronization by analyzing agent vector fields and designing a control protocol for improved criteria.
Area of Science:
- Control Theory
- Systems Engineering
- Distributed Systems
Background:
- Multiagent systems require robust synchronization protocols, especially when agents are heterogeneous.
- Existing methods may lack verifiability or broad applicability for complex systems.
Purpose of the Study:
- To develop a verifiable distributed control protocol for synchronizing discrete-time heterogeneous multiagent systems.
- To analyze the limit behaviors of synchronous trajectories using invariant sets.
- To establish a synchronization criterion applicable to heterogeneous systems.
Main Methods:
- Characterizing agent vector fields to verify the nonexistence of synchronous trajectories.
- Introducing an invariant set to analyze the limit behaviors of synchronous trajectories.
- Designing a distributed control protocol transforming the system into lower-dimensional equivalents.
- Employing Lyapunov-type functions, including multiple functions, for synchronization criteria.
Main Results:
- An easily verifiable method for assessing synchronization nonexistence is established.
- An invariant set is utilized to analyze the convergence properties of synchronous trajectories.
- A novel distributed control protocol is designed for heterogeneous systems.
- A synchronization criterion is derived and enhanced using multiple Lyapunov-type functions.
Conclusions:
- The proposed invariant set-based distributed control protocol effectively synchronizes discrete-time heterogeneous multiagent systems.
- The developed synchronization criterion, improved by multiple Lyapunov-type functions, enhances practical applicability.
- Theoretical results are validated through three illustrative examples.
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