Spectral-based optimal output-feedback boundary control of a cracking catalytic reactor PDE model

Abstract

This research paper focuses on the design of a boundary optimal controller with output feedback for a tubular catalytic cracking reactor. The process is represented by a set of non-linear parabolic partial differential equations (PDEs). The approach involves utilising the linearised infinite-dimensional version of the model, taking advantage of the system generator being a Riesz spectral operator. A stabilising compensator is designed by leveraging the eigenvalues and eigenvectors of the system generator. This paper also includes numerical simulations to demonstrate the performance of the developed algorithm.

Keywords:

• Catalytic cracking process
• output feedback control
• boundary control
• optimal control
• parabolic PDEs
• Riesz spectral operator

Acknowledgements

This work is supported by Qatar University Grant CDIRCC- 2023-112. The authors confirm that there are no relevant financial or non-financial competing interests to report.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

The author confirms that the data supporting the findings of this study are available within the article and its supplementary materials.