Event-triggered boundary consensus force control for PDE modeling multi-flexible manipulators with both actuator...

Area of Science:

• Robotics and Control Systems
• Partial Differential Equations (PDE) Modeling
• Adaptive Control Theory

Background:

• Flexible manipulators are crucial in various applications but are susceptible to performance degradation due to actuator and communication delays.
• Existing control strategies often struggle to maintain stability and performance under uncertain and time-varying delays.

Purpose of the Study:

• To design a robust distributed adaptive consistency controller for PDE-modeled multi-flexible manipulators.
• To address challenges posed by both actuator and communication delays, including unknown communication delays.
• To enhance system stability and achieve precise control objectives.

Main Methods:

• A distributed adaptive consistency controller incorporating input integral feedback to mitigate actuator delay effects.
• An event-triggered adaptive law designed to observe ideal signals without direct information, reducing transmission load.
• Utilizing the integral Krasovskii Lyapunov function and Lyapunov direct method for stability analysis.
• Employing the FMINCON optimization function to tune controller parameters for optimal convergence rates.

Main Results:

• The controller effectively compensates for actuator delays through input integral feedback.
• The adaptive law successfully estimates necessary signals despite limited information and employs an event-triggered mechanism.
• Stability of the closed-loop system and control goal achievement are rigorously proven using Lyapunov stability theory.
• Simulation results demonstrate the controller's effectiveness in handling unknown communication delays.

Conclusions:

• The proposed distributed adaptive consistency controller offers a robust solution for multi-flexible manipulators with significant delay challenges.
• The integration of event-triggered adaptive laws and Lyapunov-based stability analysis provides a computationally efficient and reliable control strategy.
• The controller's ability to handle unknown communication delays and optimize convergence rates marks a significant advancement in flexible manipulator control.