Invariant Ellipsoids Method for Homogeneous Leader-Following Consensus Control.

Area of Science:

• Control Theory
• Robotics
• Systems Engineering

Background:

• Invariant ellipsoid methodology is used for linear control systems with disturbances.
• Multiagent systems (MASs) require robust control strategies for coordinated behavior.

Purpose of the Study:

• Adapt invariant ellipsoid methodology for multiagent systems.
• Develop a generalized homogeneous control protocol for optimal disturbance rejection.
• Compare performance against linear control protocols.

Main Methods:

• Leveraging generalized homogeneous control within the invariant ellipsoid framework.
• Deriving a necessary and sufficient condition for optimal disturbance rejection.
• Simulating a multiagent system of unicycle mobile robots (UMRs).

Main Results:

• A novel condition for optimal disturbance rejection in MASs is presented.
• Generalized homogeneous control demonstrates faster convergence than linear protocols.
• Enhanced accuracy in disturbance rejection is achieved with the proposed method.

Conclusions:

• The generalized homogeneous control approach effectively enhances disturbance rejection in MASs.
• This methodology provides a robust framework for controlling systems with external disturbances.
• Validated through simulations, the approach is promising for applications involving unicycle mobile robots.