Output-Based Receding Horizon Stabilizing Control for Linear Parabolic Equations

Behzad Azmi () and Sérgio S. Rodrigues ()
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Behzad Azmi: University of Konstanz
Sérgio S. Rodrigues: Johann Radon Institute for Computational and Applied Mathematics (RICAM), ÖAW

Journal of Optimization Theory and Applications, 2025, vol. 205, issue 1, No 5, 34 pages

Abstract: Abstract A receding horizon control framework is coupled with a Luenberger observer to construct an output-based control input stabilizing parabolic equations. The actuators and sensors are indicator functions of small subdomains, representing localized actuation and localized measurements. It is shown that, for a class of explicitly given sets of actuators and sensors, we can guarantee the stabilizing property of the constructed input. Results of numerical simulations are presented validating the theoretical findings.

Keywords: Exponential stabilization; Parabolic equations; Receding-horizon control; Projection based explicit exponential observer; Finite-dimensional input and output; 93C05; 93C20; 93D20; 35Q93; 49M05; 93B45 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02628-1

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