Limited Impulsive Control of Time-Delay Multiagent Systems With Packet Loss and Parameter Mismatch

Area of Science:

• Control Theory
• Systems Engineering
• Networked Systems

Background:

• Achieving consensus in multiagent systems is crucial for coordinated behavior.
• Nonlinear systems with time delays present significant control challenges.
• Real-world communication constraints like packet loss and parameter mismatch impede consensus.

Purpose of the Study:

• To investigate leader-following consensus in nonlinear time-delay multiagent systems.
• To develop novel impulsive control protocols addressing packet loss and parameter mismatch.
• To establish robust consensus criteria under practical communication imperfections.

Main Methods:

• Development of two impulsive control protocols: pure impulsive and limited impulsive schemes.
• Introduction of an auxiliary function to model packet loss phenomena.
• Integration of impulsive control theory with reverse average dwell-time analysis.

Main Results:

• Sufficient consensus criteria derived for multiagent systems with time delays and heterogeneous parameters.
• Proposed control framework demonstrates effectiveness in achieving consensus.
• Validation through numerical simulations under practical communication imperfections.

Conclusions:

• The proposed impulsive control framework effectively achieves leader-following consensus.
• The study successfully addresses challenges of packet loss and parameter mismatch.
• The findings are applicable to real-world networked systems with communication constraints.