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Electrical Engineering and Systems Science > Systems and Control

arXiv:2101.11148 (eess)
[Submitted on 27 Jan 2021 (v1), last revised 14 Sep 2021 (this version, v2)]

Title:Functional Observers with Linear Error Dynamics for Nonlinear Systems

Authors:Costas Kravaris, Sunjeev Venkateswaran
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Abstract:In this work, the problem of designing observers for estimating a single nonlinear functional of the state is formulated for general nonlinear systems. Notions of functional observer linearization are also formulated, in terms achieving exactly linear error dynamics in transformed coordinates and with prescribed rate of decay of the error. Necessary and sufficient conditions for the existence of a lower-order functional observer with linear dynamics are derived. The results provide a direct generalization of Luenberger's linear theory of functional observers to nonlinear systems.
Subjects: Systems and Control (eess.SY)
Cite as: arXiv:2101.11148 [eess.SY]
  (or arXiv:2101.11148v2 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2101.11148

Submission history

From: Sunjeev Venkateswaran [view email]
[v1] Wed, 27 Jan 2021 00:58:03 UTC (688 KB)
[v2] Tue, 14 Sep 2021 00:55:40 UTC (620 KB)
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