Distributed formation for interconnected networks with minimum energy restriction and interaction silence.

Area of Science:

• Control Systems Engineering
• Networked Systems
• Optimization Theory

Background:

• Distributed formation control is crucial for networked systems.
• Achieving minimum energy consumption under constraints is a significant challenge.
• Existing strategies may not guarantee optimal energy usage.

Purpose of the Study:

• To develop a minimum-energy formation strategy for interconnected networks with distributed protocols.
• To analyze the effects of total energy restrictions and interaction silence.
• To ensure simultaneous distributed formation and minimum energy consumption.

Main Methods:

• Formulating the minimum-energy restriction using linear matrix inequality (LMI).
• Developing conditions for minimum-energy formation without interaction silence.
• Proposing criteria for systems with interaction silence using inhibition parameters and silence rate.

Main Results:

• Sufficient conditions for minimum-energy formation without interaction silence were derived.
• The formation's motion trajectory was determined based on initial states and control vectors.
• Minimum-energy formation criteria for systems with interaction silence were established.
• The proposed strategy guarantees minimum energy restriction, unlike guaranteed-cost or limited-budget approaches.

Conclusions:

• The developed strategy effectively achieves minimum-energy formation in interconnected networks.
• The method accounts for and mitigates the impact of interaction silence.
• Simulation examples validate the theoretical analyses and the strategy's effectiveness.