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Abstract
The problem of estimation of unmeasured state variables and unknown reaction kinetic functions for selected biochemical processes modelled as a continuous stirred tank reactor is addressed in this paper. In particular, a new hierarchical (sequential) state observer is derived to generate stable and robust estimates of the state variables and kinetic functions. The developed hierarchical observer uses an adjusted asymptotic observer and an adopted super-twisting sliding mode observer. The stability of the proposed hierarchical observer is investigated under uncertainty in the system dynamics. The stability analysis of the estimation error dynamics is carried out based on the methodology associated with linear parameter-varying systems and sliding mode regimes. The developed hierarchical observer is implemented in the Matlab/Simulink environment and its performance is validated via simulation. The obtained satisfactory estimation results demonstrate high effectiveness of the devised hierarchical observer.
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.61822/amcs-2024-0004
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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International Journal of Applied Mathematics and Computer Science
no. 34,
pages 45 - 64,
ISSN: 1641-876X - Language:
- English
- Publication year:
- 2024
- Bibliographic description:
- Czyżniewski M., Łangowski R.: A hierarchical observer for a non-linear uncertain CSTR model of biochemical processes// International Journal of Applied Mathematics and Computer Science -Vol. 34,iss. 1 (2024), s.45-64
- DOI:
- Digital Object Identifier (open in new tab) 10.61822/amcs-2024-0004
- Sources of funding:
-
- IDUB
- Verified by:
- Gdańsk University of Technology
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