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Optimal control and duality-based observer design for a hyperbolic PDEs system with application to fixed-bed reactor

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  • Ilyasse Aksikas

Abstract

This paper is devoted to the design of an optimal infinite-dimensional Luenberger observer combined with a linear-quadratic state feedback controller for a system of hyperbolic PDEs. The design is based on the duality fact between the control design and the observer design. Both the original linear-quadratic and dual control problems have been solved by using the associated Riccati equations. A general algorithm that combines the designed observer together with the (estimated) state-feedback controller has been developed. The theoretical development has been applied to a fixed-bed reactor to validate the performances of the designed observer-controller via numerical simulation. Estimation and control of the temperature and the reactant concentration in a fixed-bed reactor is investigated by using the developed algorithm, which lead to express the jacket temperature (manipulated variable) as a feedback of the estimated temperature and concentration in the reactor.

Suggested Citation

  • Ilyasse Aksikas, 2021. "Optimal control and duality-based observer design for a hyperbolic PDEs system with application to fixed-bed reactor," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(12), pages 2493-2504, September.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2493-2504
    DOI: 10.1080/00207721.2021.1890856
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    Cited by:

    1. Hongkun Ma & Chengdong Yang, 2022. "Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights," Mathematics, MDPI, vol. 10(14), pages 1-11, July.

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