Title
Reduced-Order Dynamic Observer Error Linearisation: A Natural Extension Of Observer Error Linearisation
Abstract
This paper introduces the concept of reduced-order dynamic observer error linearisation (RDOEL) for multi-output systems, which is the problem of transforming a nonlinear system into a nonlinear observer canonical form with the aid of auxiliary dynamics. The proposed RDOEL framework is not only a modified version of dynamic observer error linearisation (DOEL) but also a natural extension of observer error linearisation (OEL). We provide three necessary conditions for the RDOEL problem, and then derive a necessary and sufficient condition described in terms of Lie algebras of vector fields. Furthermore, from the result, we also give a geometric necessary and sufficient condition for the OEL problem, which has not yet been completely established in the case where a diffeomorphism on the output of general form is considered.
Year
DOI
Venue
2014
10.1080/00207179.2014.906071
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
nonlinear observer design, observer error linearisation, dynamic observer error linearisation
State observer,Mathematical optimization,Nonlinear system,Vector field,Control theory,Nonlinear observer,Canonical form,Observer (quantum physics),Lie algebra,Mathematics,Diffeomorphism
Journal
Volume
Issue
ISSN
87
11
0020-7179
Citations 
PageRank 
References 
0
0.34
12
Authors
3
Name
Order
Citations
PageRank
Hansung Cho100.68
Jongwook Yang2132.37
Jin Heon Seo337323.20