Leader-Following Consensus of Time-Scale-Type Heterogeneous Nonlinear MASs via Periodic Event-Triggered Control

Area of Science:

• Control Systems Engineering
• Networked Systems
• Nonlinear Dynamics

Background:

• Consensus control is crucial for coordinating multiagent systems.
• Heterogeneous nonlinear multiagent systems (HNMASs) present unique control challenges.
• Existing event-triggered mechanisms can be inefficient for complex systems.

Purpose of the Study:

• To investigate leader-following consensus in time-scale-type HNMASS.
• To develop and analyze a dynamic periodic event-triggered mechanism (DPETM).
• To reduce communication and sampling updates while ensuring consensus.

Main Methods:

• Utilizing time-scale theory and graph theory for system analysis.
• Designing a DPETM with a function-dependent threshold and auxiliary function.
• Developing a weighted function to ensure nonincreasing behavior of an analysis function.
• Implementing periodic communication for consensus achievement.

Main Results:

• Leader-following consensus is achieved in time-scale-type HNMASS.
• The DPETM effectively reduces sampling updates compared to traditional methods.
• The proposed mechanism ensures system stability and consensus.
• Validity demonstrated through two illustrative examples.

Conclusions:

• The DPETM is a viable strategy for achieving efficient leader-following consensus in HNMASS.
• This approach offers significant advantages in reducing communication load.
• The theoretical framework is validated by practical examples.