Finite-time master-slave synchronization and parameter identification for uncertain Lurie systems

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Systems Theory

Background:

• Lurie systems are a class of nonlinear systems with applications in various fields.
• Finite-time synchronization offers faster convergence than traditional asymptotic synchronization.
• Uncertainties, including unknown parameters and noise, pose significant challenges in system control.

Purpose of the Study:

• To investigate finite-time master-slave synchronization for uncertain Lurie systems.
• To address the problem of parameter identification in these systems.
• To develop an adaptive control strategy for achieving both objectives within a finite time.

Main Methods:

• Finite-time stability theory provides the foundation for analyzing system convergence.
• Adaptive control techniques are employed to design controllers and update laws.
• The proposed controller and update laws are designed to handle system uncertainties.

Main Results:

• The developed adaptive controller and update laws guarantee finite-time master-slave synchronization.
• Simultaneous identification of unknown system parameters is achieved within a finite time.
• Numerical examples demonstrate the effectiveness and robustness of the proposed method.

Conclusions:

• The proposed adaptive control approach effectively solves the finite-time synchronization and parameter identification problem for uncertain Lurie systems.
• Finite-time synchronization is a practical and efficient approach for real-world applications.
• The method's ability to handle uncertainties enhances its applicability.