Nonlinear discrete-time observer design with linearizable error dynamics Academic Article

abstract

• A necessary and sufficient condition for the existence of a discrete-time nonlinear observer with linearizable error dynamics is provided. The result can be applied to any real analytic nonlinear system whose linear part is observable. The necessary and sufficient condition is the solvability of a nonlinear functional equation. Furthermore, the well-known Siegel's theorem on the linearizability of a mapping is naturally reproduced in a corollary. The proposed observer design method is constructive and can be applied approximately to any sufficiently smooth, linearly observable system yielding a local observer with approximately linear error dynamics.

authors

• Kravaris, Costas

published proceedings

• IEEE TRANSACTIONS ON AUTOMATIC CONTROL

author list (cited authors)

• Xiao, M. Q., Kazantzis, N., Kravaris, C., & Krener, A. J.

citation count

• 50

complete list of authors

• Xiao, MQ||Kazantzis, N||Kravaris, C||Krener, AJ

publication date

• April 2003

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Automatic Control  Journal

keywords

• Discrete-time Nonlinear System
• Linearizable Error Dynamics
• Nonlinear Observer
• Output Injection

Digital Object Identifier (DOI)

• 10.1109/TAC.2003.809793

start page

• 622

end page

• 626

volume

• 48

issue

• 4

URL

• http://dx.doi.org/10.1109/tac.2003.809793