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PDE-Based Boundary Adaptive Consensus Control of Multiagent Systems With Input Constraints.

Wei Zhao, Yu Liu, Xiangqian Yao

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    Summary

    This study develops adaptive consensus control for flexible manipulator systems with input nonlinearities and disturbances. The novel boundary control protocol ensures angular position consensus and suppresses vibrations.

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    Area of Science:

    • Robotics and Control Systems
    • Applied Mathematics
    • Systems Engineering

    Background:

    • Flexible manipulator systems present complex control challenges due to spatial variables and input nonlinearities.
    • Achieving consensus in partial differential equations (PDEs) multiagent systems (MASs) is more intricate than in ordinary differential equation (ODE) MASs.
    • Existing control methods struggle with boundary uncertainties, time-varying disturbances, and hybrid effects like dead zones and input saturation.

    Purpose of the Study:

    • To address the leader-follower adaptive consensus control problem for PDEs-MASs composed of flexible manipulators.
    • To design a novel distributed boundary control (BC) protocol that ensures consensus and suppresses boundary vibrations.
    • To handle input nonlinearities, boundary uncertainties, and time-varying disturbances effectively.

    Main Methods:

    • Design of a novel distributed boundary control (BC) protocol using Lyapunov function.
    • Application of neural networks (NNs) to approximate hybrid effects of dead zones and input saturation.
    • Development of disturbance adaptive laws for bounded and time-varying disturbances.
    • Utilization of Lyapunov stability theory to ensure uniformly bounded stability.

    Main Results:

    • The proposed BC protocol achieves consensus in angular positions for flexible manipulator systems.
    • Boundary vibrations of each agent are effectively suppressed.
    • Neural networks successfully address the hybrid effects of dead zones and input saturation.
    • Disturbance adaptive laws provide robust control against bounded and time-varying disturbances.
    • Uniformly bounded stability of the multi-flexible manipulator system is mathematically ensured.

    Conclusions:

    • The developed adaptive consensus control strategy is feasible and effective for complex flexible manipulator systems.
    • The novel distributed boundary control protocol offers a robust solution for PDEs-MASs with nonlinearities and uncertainties.
    • This research contributes to advancing control theory for distributed systems with challenging dynamics.