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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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Global Consensus Tracking Control for High-Order Nonlinear Multiagent Systems With Prescribed Performance.

Zeqiang Li, Yujuan Wang, Yongduan Song

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    Summary
    This summary is machine-generated.

    This study presents a new control method for high-order nonlinear multiagent systems (MASs) that achieves global tracking regardless of initial conditions. The approach ensures arbitrarily fast consensus tracking performance even with directed communication and unknown control directions.

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    Area of Science:

    • Control Theory
    • Nonlinear Systems
    • Multiagent Systems (MASs)

    Background:

    • Prescribed performance control for multiagent systems often requires specific initial conditions.
    • Directed communication topologies and unknown control directions pose significant challenges in achieving consensus.

    Purpose of the Study:

    • To develop a control scheme for high-order nonlinear multiagent systems (MASs) that achieves global tracking irrespective of initial conditions.
    • To ensure asymptotic output consensus tracking with arbitrarily prescribed transient performance.
    • To address challenges posed by directed communication topologies and unknown control directions.

    Main Methods:

    • Utilized a performance function to define desired transient and steady-state behaviors.
    • Developed a prescribed-time observer to estimate system states under uncertainty.
    • Designed a control strategy that removes the dependency on initial conditions for global tracking.

    Main Results:

    • Achieved global tracking results for high-order nonlinear MASs, removing initial condition restrictions.
    • Demonstrated asymptotic output consensus tracking with arbitrarily prescribed transient performance.
    • Validated the control scheme's effectiveness under directed communication and unknown control directions.

    Conclusions:

    • The proposed control scheme effectively addresses the prescribed performance tracking control problem for complex MASs.
    • The method offers a robust solution overcoming limitations of existing approaches regarding initial conditions and system uncertainties.
    • Theoretical analysis and numerical simulations confirm the successful implementation and validity of the developed control strategy.