Output-based receding horizon stabilizing control

2024/07/16 by Azmi, Behzad, Rodrigues, Sérgio S.
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2407.11530

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.

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