New conditions for nonlinear observer error linearizability with computer programming

The necessary and sufficient conditions for a single output system to be state equivalent to a nonlinear observer canonical form have been found by Krener and Isidori. In this paper, we give new necessary and sufficient conditions, in the form of algorithm, which are more suitable for computer progr...

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Published inInternational journal of control, automation, and systems Vol. 13; no. 6; pp. 1544 - 1549
Main Authors Lee, Hong-Gi, No, Hyunjong, Kang, Jisu, Kim, JunSeong
Format Journal Article
LanguageEnglish
Published Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.12.2015
Springer Nature B.V
제어·로봇·시스템학회
Subjects
Algorithms
Canonical forms
Computer programming
Control
Control systems
Engineering
Equivalence
Mechatronics
Nonlinearity
Proving
Robotics
Studies
Technical Notes and Correspondence
Transformations
제어계측공학
Geometric conditions
MATLAB program
state equivalence
nonlinear observers
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ISSN1598-6446
2005-4092
DOI10.1007/s12555-014-0519-0

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Summary:The necessary and sufficient conditions for a single output system to be state equivalent to a nonlinear observer canonical form have been found by Krener and Isidori. In this paper, we give new necessary and sufficient conditions, in the form of algorithm, which are more suitable for computer programming. Our proof is constructive and not only the state transformation but also the nonlinear observer canonical form is contained. Also, the sufficient part of our proof does not rely on Frobenius Theorem.
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G704-000903.2015.13.6.008
http://link.springer.com/article/10.1007/s12555-014-0519-0
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-014-0519-0