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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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Consensus of Matrix-Weighted Hybrid Multiagent Systems.

Suoxia Miao, Housheng Su

    IEEE Transactions on Cybernetics
    |May 23, 2022
    PubMed
    Summary

    This study addresses consensus control in hybrid multiagent systems (MASs) with diverse agent dynamics. New algorithms ensure system-wide agreement under various network conditions, validating theoretical results with simulations.

    Area of Science:

    • Control Theory
    • Networked Systems
    • Artificial Intelligence

    Background:

    • Heterogeneity is a key characteristic of multiagent systems (MASs).
    • Achieving consensus in MASs with mixed discrete-time and continuous-time agents presents significant challenges.
    • Matrix-weighted interactions introduce complexity in analyzing system dynamics.

    Purpose of the Study:

    • To investigate consensus control problems in matrix-weighted hybrid MASs.
    • To develop novel consensus algorithms for systems with discrete-time and continuous-time agents.
    • To establish consensus criteria for both symmetric and asymmetric matrix-weighted networks.

    Main Methods:

    • Utilizing sampled data control for continuous-time subsystems.
    • Applying matrix theory, Lyapunov stability theory, and analysis theory.

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  • Developing three distinct consensus algorithms for fixed and switched undirected networks.

    • Main Results:

    • Consensus criteria were established for symmetric matrix-weighted fixed and switched networks under specific sampling periods.
    • Consensus criteria were also derived for asymmetric matrix-weighted fixed networks, accommodating scaled and rotated updates.
    • The proposed algorithms demonstrated effectiveness in achieving consensus in hybrid MASs.

    Conclusions:

    • The developed consensus algorithms effectively manage heterogeneity in matrix-weighted hybrid MASs.
    • Theoretical consensus criteria are validated through simulation examples.
    • This research contributes to the understanding and control of complex networked systems.