Cross-dimensional formation control of second-order heterogeneous multi-agent systems.

Area of Science:

• Robotics
• Control Theory
• Multi-Agent Systems

Background:

• Cooperative control of multi-agent systems is crucial for complex tasks.
• Heterogeneous agents with varying dimensions pose unique control challenges.
• Existing formation control methods often lack cross-dimensional coordination capabilities.

Purpose of the Study:

• To develop a cross-dimensional formation control strategy for second-order multi-dimensional heterogeneous multi-agent systems.
• To enable cooperative tracking of a leader by follower agents across different dimensions.
• To provide theoretical conditions and design criteria for achieving cross-dimensional formation.

Main Methods:

• Agents are grouped based on position/velocity vector dimensions.
• A cross-dimensional formation protocol is designed using neighbor information (full or partial).
• Necessary and sufficient conditions for achieving cross-dimensional formation are derived.

Main Results:

• A novel cross-dimensional formation protocol is proposed, adaptable to agent dimensionality.
• Theoretical conditions for successful formation control are established.
• A specific criterion for lower-dimensional protocol design is obtained under undirected graph conditions.

Conclusions:

• The proposed cross-dimensional formation control strategy effectively coordinates heterogeneous multi-agent systems.
• The derived conditions and criteria facilitate the design of robust formation protocols.
• The method's effectiveness is validated through simulations involving robots and quadrotors.