Formation-containment control of multi-agent systems with communication delays.

Area of Science:

• Control Theory
• Robotics
• Networked Systems

Background:

• Multi-agent systems require coordinated control for complex tasks.
• Communication delays and system uncertainties pose significant challenges in distributed control.

Purpose of the Study:

• To design robust formation-containment control algorithms for second-order nonlinear multi-agent systems.
• To address challenges posed by communication delays and system uncertainties.

Main Methods:

• Developed coordinated formation control for leader agents using variable-gain technique to mitigate communication delays.
• Proposed distributed velocity estimators for follower agents with communication delays.
• Designed adaptive updating laws for enhanced robustness against uncertainties and external disturbances.

Main Results:

• Leaders achieve desired formation and collective velocity despite communication delays.
• Followers asymptotically converge to the convex hull of leaders using estimated velocity information.
• The control algorithms demonstrate robustness against uncertainties and external disturbances.

Conclusions:

• The proposed formation-containment control algorithms are effective for nonlinear multi-agent systems with communication delays.
• The variable-gain technique and adaptive laws enhance system performance and robustness.
• Simulation results validate the efficacy of the developed control strategies.