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Analysis of observability and detectability for CSTR model of biochemical processes under uncertain system dynamics and various sets of measured outputs

Abstract

An analysis of observability and detectability for continuous stirred tank reactor model of selected biochemical processes has been addressed in this paper. In particular, properties of observability or detectability of the considered system model have been proved under uncertain system dynamics in view of various sets of system measured outputs. It is related to considering system dynamics depending on initial conditions and the impact of inputs taking into account a given measured output. The method of indistinguishable state trajectories (indistinguishable dynamics) and tools based on the Lyapunov second method were used to investigate the observability and detectability properties. The analysis was performed for eight cases of different sets of measured outputs with association to the realistic features of measuring devices. The obtained research results are essential for system state estimation that involves the synthesis of state observers. The proposed approach may be successfully applied to the complex biochemical non-linear uncertain systems modelled as continuous stirred tank reactors.

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Accepted or Published Version
DOI:
Digital Object Identifier (open in new tab) 10.24425/acs.2024.153097
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Creative Commons: CC-BY-NC-ND open in new tab

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Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
Archives of Control Sciences no. 34(LXX), pages 667 - 696,
ISSN: 1230-2384
Language:
English
Publication year:
2024
Bibliographic description:
Łangowski R., Czyżniewski M.: Analysis of observability and detectability for CSTR model of biochemical processes under uncertain system dynamics and various sets of measured outputs// Archives of Control Sciences -Vol. 34(LXX),iss. 4 (2024), s.667-696
DOI:
Digital Object Identifier (open in new tab) 10.24425/acs.2024.153097
Sources of funding:
  • IDUB
Verified by:
Gdańsk University of Technology

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