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This article researches the asymptotic stabilization problem for spatial 2-D linear parabolic partial differential equation (PDE) systems with a mobile collocated actuator/sensor pair. First, the projection modification algorithm is proposed to make sure that the mobile sensor/actuator pair can only move in the specified area. Then, an integrated design method of the static output feedback (SOF) control law and the mobile sensor/actuator guidance laws is developed for the spatial 2-D linear PDE systems. And lastly, numerical simulations can prove the effectiveness of the proposed method.

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Stabilization Design of Spatial 2-D Linear Parabolic PDE Systems with a Collocated Mobile Actuator/Sensor Pair

  • 会议论文

  • 发表日期：

    2025年

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  • Qian Zhou,
  • Xiao-Wei Zhang,
  • Jin-Liang Wang

摘要

This article researches the asymptotic stabilization problem for spatial 2-D linear parabolic partial differential equation (PDE) systems with a mobile collocated actuator/sensor pair. First, the projection modification algorithm is proposed to make sure that the mobile sensor/actuator pair can only move in the specified area. Then, an integrated design method of the static output feedback (SOF) control law and the mobile sensor/actuator guidance laws is developed for the spatial 2-D linear PDE systems. And lastly, numerical simulations can prove the effectiveness of the proposed method.