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    Area of Science:

    • Robotics and Control Systems
    • Multi-Agent Systems
    • Autonomous Navigation

    Background:

    • Safe deployment of multiple robots in complex, obstacle-rich environments is a significant challenge.
    • Velocity and input-constrained robots require robust collision-avoidance strategies for formation navigation.
    • Constrained dynamics and external disturbances complicate safe formation navigation.

    Purpose of the Study:

    • To develop a novel robust control barrier function-based method for safe formation navigation of multiple robots.
    • To enable collision avoidance under globally bounded control input for constrained robots.
    • To address the challenges posed by constrained dynamics and external disturbances in multi-robot systems.

    Main Methods:

    • Design of a nominal velocity and input-constrained formation navigation controller using relative position information and a predefined-time convergent observer.
    • Derivation of new robust safety barrier conditions specifically for collision avoidance.
    • Proposal of a local quadratic optimization problem-based safe formation navigation controller for individual robots.

    Main Results:

    • The proposed method effectively enables collision avoidance for multiple robots operating under velocity and input constraints.
    • The controller ensures safe transferring between areas in complex, obstacle-rich environments.
    • Simulation examples demonstrate the controller's effectiveness and superiority compared to existing methods.

    Conclusions:

    • The novel robust control barrier function-based method provides a viable solution for safe multi-robot deployment.
    • The approach successfully handles constrained dynamics and external disturbances, ensuring robust collision avoidance.
    • The proposed controller facilitates safe and efficient formation navigation in challenging environments.