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Motion Planning and Tracking MPC for Multiagent Systems: A Dynamic Affine Formation Approach.

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    This study introduces online affine parameter adjustment for multiagent formations, enabling dynamic shape changes to avoid obstacles. The novel approach ensures stable and feasible control in complex environments.

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    Area of Science:

    • Robotics and Control Systems
    • Multiagent Systems
    • Autonomous Navigation

    Background:

    • Affine formation control offers flexible shape adjustment for complex terrains.
    • Existing methods require offline predesign of formation transformation parameters.
    • Online adjustment is needed for dynamic adaptation in variable environments.

    Purpose of the Study:

    • To develop an online method for affine parameter adjustment in multiagent formations.
    • To enable self-reconfiguration of formations for obstacle avoidance.
    • To propose a distributed model predictive controller for enhanced performance and stability.

    Main Methods:

    • Utilizing Artificial Potential Field (APF) environment excitation for online parameter adjustment.
    • Implementing a distributed model predictive controller (MPC) with historical control input utilization.
    • Separating stability and performance optimization within the nonlinear MPC framework.

    Main Results:

    • Demonstrated dynamic adjustment of affine transformation parameters online.
    • Achieved self-reconfiguration of formation shape for collision avoidance.
    • Validated the effectiveness and stability of the proposed distributed MPC through simulations.

    Conclusions:

    • The proposed online affine parameter adjustment method enables adaptive formations in complex environments.
    • The distributed MPC ensures robust control, stability, and performance for multiagent systems.
    • The approach effectively addresses limitations of offline parameter predesign in formation control.