Finite-time synchronization for second-order nonlinear multi-agent system via pinning exponent sliding mode control

Area of Science:

• Control Theory
• Nonlinear Systems
• Multi-Agent Systems

Background:

• Multi-agent systems require coordinated behavior for complex tasks.
• Achieving synchronization in finite time is crucial for real-time applications.
• Nonlinear dynamics and disturbances pose significant challenges in multi-agent systems.

Purpose of the Study:

• To develop a finite-time synchronization strategy for second-order multi-agent systems.
• To introduce a novel exponent sliding mode control (ESMC) for enhanced synchronization.
• To validate the proposed control method on a complex 3-DOF helicopter system.

Main Methods:

• Employing the differential mean value theorem to linearize nonlinear multi-agent systems.
• Implementing a pinning control strategy by targeting a single node within the system.
• Designing a novel exponent sliding mode control (ESMC) protocol for robust synchronization.

Main Results:

• Finite-time synchronization was achieved for the second-order multi-agent system.
• The proposed ESMC effectively synchronized the 3-DOF helicopter system despite nonlinearities and disturbances.
• The pinning control strategy demonstrated high efficiency by controlling only one node.

Conclusions:

• The novel exponent sliding mode control is effective for finite-time synchronization of multi-agent systems.
• Pinning control on a single node offers an efficient approach to achieve system-wide synchronization.
• The proposed method shows significant advantages for complex nonlinear systems like the 3-DOF helicopter.