Reduced-order dynamic observer error linearisation for discrete-time systems: an extension of the classical observer error linearisation

• Published in: IET control theory & applications Vol. 7; no. 8; pp. 1142 - 1151
• Main Authors: Yun, Hyeonjun, Yang, Jongwook, Seo, Jin Heon
• Format: Journal Article
• Language: English
• Published: Stevenage The Institution of Engineering and Technology 01.05.2013; John Wiley & Sons, Inc
• Subjects: Algorithms; auxiliary dynamics; chaos; classical observer error linearisation; Control systems; controllability; discrete time systems; discrete‐time hyperchaotic system; Dynamic tests; Dynamical systems; Dynamics; Error analysis; Errors; first‐order difference algorithm; generalised Rössler system; linear controllable system; linear systems; linearisation techniques; lower‐dimensional observers; nonlinear systems; Observers; RDOEL; reduced order systems; reduced‐order dynamic observer error linearisation; discrete-time hyperchaotic system; reduced-order dynamic observer error linearisation; chaos; linearisation techniques; discrete time systems; generalised Rössler system; auxiliary dynamics; RDOEL; linear systems; lower-dimensional observers; nonlinear systems; controllability; first-order difference algorithm; reduced order systems; linear controllable system; observers; classical observer error linearisation
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2012.0253

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.