On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form

Boutat, Driss; Busawon, Krishna

doi:10.1080/00207179.2010.541285

Cited by 45 publications

(56 citation statements)

References 22 publications

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“…More details on this issue can be founded in Boutat and Busawon (2011). After having deduced s(y), the rest of the proof for Theorem 2 is similar to the proof of Theorem 1.…”

Section: Proofmentioning

confidence: 94%

“…The proof of Theorem 2 is similar to the proof of Theorem 1, thus the following just gives a sketch to determine s(y) and some different elements with respect to the result stated in Boutat and Busawon (2011).…”

Section: Proofmentioning

confidence: 98%

“…One way to relax this constraint is to seek a new vector field, noted asσ 1 , such that θ r (σ 1 ) becomes a function of the output, and this will introduce a diffeomorphism on the output. For that purpose, this section will modify the new vector field τ 1 obtained in Section 3 by following Procedure 1 and construct a new family of commutative vector fields, with which the deduced diffeomorphism φ (x) will apply as well a change of coordinates on the output (see Krener and Respondek (1985); Respondek et al (2004); Boutat and Busawon (2011)). Since this diffeomorphism will modify the output of the studied system (1)-(2), therefore the PONF (7) is adapted as follows:…”

Section: Diffeomorphism On the Outputmentioning

confidence: 99%

“…In order to construct a new family of commutative vector fields by introducing a change of coordinates on the output, the method proposed in Boutat and Busawon (2011) is used to deduce a non-zero output function s(y). For this, set σ 1 = s(y)τ 1 .…”

Section: Calculation Of σmentioning

confidence: 99%

“…Inspired by this solution, various extensions are developed for output depending nonlinear observer normal form (Guay (2002); Respondek et al (2004); Zheng et al (2005Zheng et al ( , 2009Zheng et al ( , 2007; Boutat et al (2006)) and for the extended nonlinear observer normal form (Jouan (2003); Noh et al (2004); Back et al (2006); Boutat and Busawon (2011); Tami et al (2013); Boutat (2015)). The related applications can be found as well for the synchronization of nonlinear systems Zheng and Boutat (2011), for Dengue epidemic model Tami et al (2014b), for PM synchronous motor Tami et al (2014a), and so on.…”

Section: Introductionmentioning

confidence: 99%

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Partial observer normal form for nonlinear system

et al. 2016

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In this paper, we investigate the estimation problem for a class of partially observable nonlinear systems. For the proposed Partial Observer Normal Form (PONF), necessary and sufficient conditions are deduced to guarantee the existence of a change of coordinates which can transform the studied system into the proposed PONF. Examples are provided to illustrate the effectiveness of the proposed results.

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“…More details on this issue can be founded in Boutat and Busawon (2011). After having deduced s(y), the rest of the proof for Theorem 2 is similar to the proof of Theorem 1.…”

Section: Proofmentioning

confidence: 94%

Section: Proofmentioning

confidence: 98%

Section: Diffeomorphism On the Outputmentioning

confidence: 99%

Section: Calculation Of σmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Partial observer normal form for nonlinear system

et al. 2016

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Robust and nonlinear control literature survey (No. 24)

2011

Intl J Robust & Nonlinear

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In order to keep readers up-to-date, the journal will contain a list of recently published journal articles relevant to the fields of robust and nonlinear control six times a year. This list is compiled from a wide range of journals. Please note that even though the list has been broadly categorized these classifications are by no means strict, and are there to assist the reader. Please also note that inclusion in the list is not an endorsement of a paper's quality. If you have any suggestions or comments, please e-mail: Dr Jiqiang Wang at jiqiang.wang@nuaa.edu.cn. THEORETICAL DEVELOPMENTS IN ROBUST CONTROL

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Extended nonlinear observer normal forms for a class of nonlinear dynamical systems

Boutat

2013

Intl J Robust & Nonlinear

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SUMMARYTransforming a dynamical system by adding auxiliary dynamics is one of the most recent tools to design an observer. Dynamical systems that have the properties of admitting such transformation have been widely studied. Indeed, in the existing literature, several different types of geometrical and analytical characterizations of such dynamical systems have been established. However, one finds only a few examples on this topic. Therefore, the main focus of this paper is to characterize a class of single-output dynamical systems that can be transformed by means of a change of coordinates into an extended nonlinear observer normal form. Furthermore, this class provides examples of systems that can be transformed adding to them more than one auxiliary dynamics. To our knowledge, examples on this last fact lack in the existing research literature on this topic.

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On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form

Cited by 45 publications

References 22 publications

Partial observer normal form for nonlinear system

Partial observer normal form for nonlinear system

Robust and nonlinear control literature survey (No. 24)

Extended nonlinear observer normal forms for a class of nonlinear dynamical systems

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