Extended observer form with vector fields

Journal article (2023)

Authors

Tanel Mullari Tallinn University of Technology
Ulle Kotta Tallinn University of Technology
Arvo Kaldmäe Tallinn University of Technology
Vadim Kaparin Tallinn University of Technology
A. Simha Networked Systems - EEMCS
Research Group
Networked Systems (EEMCS) (TU Delft)
Copyright: © 2023 Tanel Mullari, Ülle Kotta, Arvo Kaldmäe, Vadim Kaparin, A. Simha
DOI
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https://doi.org/10.1080/00207179.2023.2274060
Algebraic approach Discrete-time system Extended observer form Nonlinear control system Parametrised state transformation
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Published Date

2023

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Software Technology

Research Group

Networked Systems

Abstract

This paper addresses the problem of transforming a single-input single-output discrete-time system into the extended observer form which comprises a linear observable component and a nonlinear injection term depending on the input, output and their forward shifts up to a finite order. The necessary and sufficient conditions for the existence of the extended observer form are provided in terms of vector fields. The algorithm is presented to find a parametrised state transformation necessary to transform the system into the extended observer form. The obtained results are applicable also in case of non-reversible systems.