Finite-Time Consensus of Second-Order Switched Nonlinear Multi-Agent Systems.

Area of Science:

• Control Systems Engineering
• Robotics
• Networked Systems

Background:

• Investigates the practical finite-time consensus (FTC) problem in second-order heterogeneous switched nonlinear multi-agent systems (MASs).
• Highlights the complexity arising from different subsystems and switching signals among agents, and general unknown nonlinearities.
• Notes the inadequacy of existing methods for solving FTC in such complex MASs.

Purpose of the Study:

• To develop a new protocol design framework for the practical FTC problem in nonlinear switched MASs.
• To propose a novel adaptive control protocol utilizing neural network methods.
• To establish sufficient conditions for achieving practical FTC under arbitrary switching.

Main Methods:

• Development of a new protocol design framework tailored for FTC in nonlinear switched MASs.
• Proposal of a novel adaptive protocol integrating neural network techniques.
• Derivation of sufficient conditions for practical FTC under arbitrary switching signals.

Main Results:

• A novel adaptive protocol is proposed for nonlinear switched MASs.
• Sufficient conditions for practical finite-time consensus are established.
• A numerical example validates the effectiveness of the proposed control scheme.

Conclusions:

• The developed framework and adaptive protocol effectively address the practical FTC problem in complex nonlinear switched MASs.
• The proposed method ensures reliable and efficient coordination even with arbitrary switching and unknown nonlinearities.
• The findings offer a valuable contribution to the field of multi-agent systems control.