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Lyapunov-based stabilization mobile control design of linear parabolic PDE systems

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Listed:
  • Zhang, Xiao-Wei
  • Zhou, Qian
  • Wu, Huai-Ning
  • Wang, Jin-Liang
  • Wang, Zi-Peng

Abstract

This article considers the exponential mobile stabilization control of linear parabolic partial differential equation (PDE) systems. Firstly, a stabilization scheme based on static output feedback (SOF) control and mobile actuator/sensor guidance is proposed. Next, the operator theory is used to discuss the well-posedness of closed-loop PDE systems. Thus, the SOF control and mobile guidance design approach is simultaneously proposed to guarantee that the closed-loop PDE system is exponentially stable. In final, the effectiveness of the design method is verified by numerical simulation.

Suggested Citation

  • Zhang, Xiao-Wei & Zhou, Qian & Wu, Huai-Ning & Wang, Jin-Liang & Wang, Zi-Peng, 2023. "Lyapunov-based stabilization mobile control design of linear parabolic PDE systems," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009037
    DOI: 10.1016/j.chaos.2023.114002
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