Distributed tracking control for multiple Euler-Lagrange systems with communication delays and input saturation.

Area of Science:

• Control Systems Engineering
• Robotics
• Nonlinear Dynamics

Background:

• Euler-Lagrange systems are fundamental in modeling complex mechanical systems.
• Distributed tracking control is crucial for coordinating multiple agents.
• Time-varying delays and full-state constraints pose significant challenges in control design.

Purpose of the Study:

• To develop a distributed tracking control strategy for multiple time-varying delayed Euler-Lagrange systems.
• To address challenges posed by full-state constraints and input saturation.
• To ensure robust performance under system uncertainties and external disturbances.

Main Methods:

• Design of a distributed observer to acquire leader's time-varying information.
• Application of barrier Lyapunov functions to guarantee error convergence within a specified range.
• Utilization of anti-windup techniques to mitigate control input saturation effects.
• Inclusion of an adaptive law to prevent control signal chattering.

Main Results:

• The proposed distributed observer successfully enables followers to access leader's information.
• Barrier Lyapunov functions ensure system errors remain bounded.
• Anti-windup methods effectively handle input saturation.
• The adaptive law prevents undesirable chattering, leading to smoother control.
• Numerical simulations validate the effectiveness of the developed algorithms.

Conclusions:

• The presented control strategy effectively addresses distributed tracking control for complex Euler-Lagrange systems.
• The method provides a robust solution for systems with time-varying delays, constraints, and saturation.
• The findings contribute to advancing control theory for networked and constrained systems.