Functional observers with linear error dynamics for discrete-time nonlinear systems, with application to fault diagnosis

Sunjeev Venkateswaran; Benjamin A. Wilhite; Costas Kravaris

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arXiv · 2106.02185

Functional observers with linear error dynamics for discrete-time nonlinear systems, with application to fault diagnosis

Sunjeev Venkateswaran·Benjamin A. Wilhite·Costas Kravaris

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Abstract

This work deals with the problem of designing observers for the estimation of a single function of the states for discrete-time nonlinear systems. Necessary and sufficient conditions for the existence of lower order functional observers with linear dynamics and linear output map are derived. The results provide a direct generalization to Luenberger's linear theory of functional observers. The design methodology is tested on a non-isothermal CSTR case study.

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Sunjeev Venkateswaran, Benjamin A. Wilhite, Costas Kravaris. 2021-06-04. Functional observers with linear error dynamics for discrete-time nonlinear systems, with application to fault diagnosis. https://arxiv.org/abs/2106.02185

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