Finite-time guarantee-cost H_∞ consensus control of second-order multi-agent systems based on sampled-data...

Area of Science:

• Control Systems Engineering
• Networked Systems
• Applied Mathematics

Background:

• Multi-agent systems face challenges in achieving consensus and robust control.
• External disturbances complicate tracking consensus and guarantee-cost H∞ control.
• Existing event-triggered mechanisms often require real-time data, risking infinite triggering.

Purpose of the Study:

• To develop an event-triggered control method for second-order multi-agent systems with external disturbances.
• To ensure finite-time stability and achieve guarantee-cost H∞ control.
• To prevent controller Zeno-behavior (infinite triggering in finite time).

Main Methods:

• A novel event-triggered control strategy using periodic sampling data.
• Design of a finite-time controller based on the sampled-data event-triggered mechanism.
• Application of matrix analysis to establish finite-time stability conditions.
• Introduction of a quadratic guarantee-cost function for performance analysis.

Main Results:

• The proposed method ensures the interval between triggers is at least one sampling cycle.
• Sufficient conditions for finite-time stability at a specified attenuation level are derived.
• The exact upper bound of the system's guarantee-cost function is determined.
• Numerical simulations validate the proposed control scheme's feasibility.

Conclusions:

• The sampled-data event-triggered control effectively addresses consensus and guarantee-cost H∞ control challenges.
• The finite-time controller ensures system stability and performance under disturbances.
• The approach offers a practical solution for networked control systems with periodic data acquisition.