Open AccessReduced‐order dynamic observer error linearisation for discrete‐time systems: an extension of the classical observer error linearisation
Author(s) -
Yun Hyeonjun,
Yang Jongwook,
Seo Jin Heon
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2012.0253
Subject(s) - control theory (sociology) , observer (physics) , extension (predicate logic) , discrete time and continuous time , computer science , mathematics , control (management) , artificial intelligence , statistics , physics , quantum mechanics , programming language
This study addresses reduced‐order dynamic observer error linearisation (RDOEL) for discrete‐time systems, which is a modified version of dynamic observer error linearisation (DOEL). The authors define the concept of RDOEL and provide a necessary and sufficient condition for RDOEL. Moreover, the relation between RDOEL and DOEL is discussed when the auxiliary dynamics is an arbitrary linear controllable system. Using the relationship and an existing algorithm for DOEL, an algorithm for RDOEL also proposed, which offers lower‐dimensional observers than DOEL. Finally, the authors illustrate the theory by applying it to the discrete‐time hyperchaotic system due to Wang, which was derived from the generalised Rössler system via a first‐order difference algorithm.