Paper: Observation of bilinear systems with application to biological control

Authors:
Darrell Williamson
Affiliations:
Department of Systems and Control, School of Electrical Engineering, University of New South Wales, Australia
Venue:
Automatica (Journal of IFAC)
Year:
1977

Citing 0
Cited 8

Brief paper: Observability analysis for structured bilinear systems: A graph-theoretic approach

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Generic uniform observability analysis for bilinear systems

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Brief paper: State and parameter estimation of microbial growth processes

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Brief Paper: Robust fault detection based on observers for bilinear systems

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Brief Paper: Some Examples and Remarks on Quasi-Static Feedback of Generalized States

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Brief Output feedback stabilization of bilinear systems using dead-beat observers

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State estimation in batch processes using a nonlinear observer

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Observability of Boolean networks: A graph-theoretic approach

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Abstract

In this paper a system of bilinear equations is derived which under appropriate conditions model the microbial cellgrowth and product formation of various waste treatment and fermentation systems. Given the available measurements, the problem of obtaining an asymptotic estimate of the state of the system is considered. Necessary and sufficient conditions for the observability of a general system of bilinear equations are also derived. As accurate biological sensors do not often exist the results are significant for the on-line control of these biological processes.