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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
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Time-Varying Group Formation-Containment Tracking Control for General Linear Multiagent Systems With Unknown Inputs.

Yizhou Lu, Xiwang Dong, Qingdong Li

    IEEE Transactions on Cybernetics
    |April 20, 2021
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    Summary
    This summary is machine-generated.

    This study addresses time-varying group formation-containment tracking for multiagent systems with unknown control inputs. It develops effective protocols enabling agents to achieve complex formations and containment tracking objectives.

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    Area of Science:

    • Control Theory
    • Robotics
    • Networked Systems

    Background:

    • Multiagent systems face challenges in coordinated control, especially with unknown dynamics.
    • Achieving simultaneous formation control and containment tracking is complex.
    • Group division and time-varying behaviors add further complexity.

    Purpose of the Study:

    • To investigate time-varying group formation-containment tracking for general linear multiagent systems.
    • To handle unknown control inputs from tracking leaders.
    • To enable followers to converge within convex hulls defined by formation leaders.

    Main Methods:

    • Design of formation-containment tracking protocols using neighboring relative information.
    • Analysis of group division via Laplacian matrix properties.
    • Development of an algorithm for control parameter determination.
    • Presentation of formation tracking feasible constraints.

    Main Results:

    • Protocols effectively manage unknown inputs from tracking leaders.
    • Group division strategies are analyzed and adjusted.
    • Theoretical proof of uniform asymptotic convergence of errors to zero.
    • Validation of results through numerical simulation.

    Conclusions:

    • The proposed protocols enable effective time-varying group formation-containment control in general linear multiagent systems.
    • The approach successfully handles unknown control inputs and achieves desired formations and containment.
    • The findings provide a robust framework for complex multiagent coordination tasks.