A New Framework of Distributed Prescribed-Time Consensus Homogeneous Domination Control for Feedforward Multiagent...

Area of Science:

• Control Theory
• Systems Engineering
• Robotics

Background:

• Multiagent systems (MASs) often face challenges with nonlinearities.
• Achieving consensus in finite or prescribed time is crucial for coordinated tasks.

Purpose of the Study:

• To develop a novel framework for prescribed-time full-state consensus control in feedforward MASs.
• To address the complexities introduced by inherent feedforward nonlinearities.

Main Methods:

• A coordinate transformation and prescribed-time function were designed to handle nonlinearities.
• A prescribed-time homogeneous domination framework was developed for MASs.
• Recursive techniques were employed to design a distributed controller.

Main Results:

• The proposed framework simplifies stability analysis for state-scale schemes.
• A distributed controller was designed to achieve consensus errors at equilibrium within a prescribed time.
• The controller ensures stability throughout the entire time interval.

Conclusions:

• The novel framework effectively enables prescribed-time full-state consensus in feedforward MASs.
• The method offers a balance between design complexity and analytical simplicity.
• Validation was successfully performed using a liquid-level control resonant circuit (LLCRC) system.