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Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling
Duoduo Zhao1, Fang Gao1, Jinde Cao2
1School of Big Data and Artificial Intelligence, Chizhou University, Chizhou 247000, Anhui, China.
Mathematical Biosciences and Engineering : MBE
|September 7, 2023
Summary
This study introduces an event-triggered protocol using stochastic sampling to achieve leader-follower consensus in semi-Markov jump multi-agent systems, reducing communication and control costs.
Area of Science:
- Control Systems Engineering
- Networked Systems
- Stochastic Processes
Background:
- Multi-agent systems (MAS) are crucial for distributed tasks.
- Achieving consensus (agreement) in MAS is a fundamental challenge.
- Semi-Markov jump systems introduce state-dependent transition probabilities, adding complexity.
Purpose of the Study:
- To develop an efficient consensus protocol for semi-Markov jump multi-agent systems.
- To reduce communication and control update burdens.
- To ensure leader-follower mean square consensus under event-triggered conditions.
Main Methods:
- Proposed an event-triggered control protocol.
- Utilized stochastic sampling with randomly switching intervals.
- Designed an event-triggered function dependent on sampled neighbor data.
- Derived sufficient conditions for mean square consensus.
Main Results:
- The proposed event-triggered protocol effectively achieves leader-follower mean square consensus.
- Stochastic sampling and event-triggering significantly reduce communication and control loads.
- Theoretical conditions for consensus were mathematically established.
Conclusions:
- The novel event-triggered strategy is effective for consensus in complex semi-Markov jump MAS.
- This approach offers a practical solution for resource-constrained networked systems.
- Numerical simulations validated the theoretical findings and protocol efficiency.
Keywords:
Lyapunov functionevent-triggeredmean-square consensusmulti-agent systemssemi-Markovian switchingstochastic samplingMore Related Videos
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