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

Xiao-Wei Zhang, Qian Zhou, Huai-Ning Wu, Jin-Liang Wang and Zi-Peng Wang

Chaos, Solitons & Fractals, 2023, vol. 175, issue P1

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.

Keywords: Linear PDE systems; SOF control; Mobile guidance; Exponential stability (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009037

DOI: 10.1016/j.chaos.2023.114002

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