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Design of exponential observers for nonlinear systems by embedding
Author(s) -
Rapaport A.,
Maloum A.
Publication year - 2004
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.878
Subject(s) - embedding , constructive , extension (predicate logic) , nonlinear system , observable , exponential function , mathematics , control theory (sociology) , computer science , mathematical optimization , mathematical analysis , artificial intelligence , physics , control (management) , process (computing) , quantum mechanics , programming language , operating system
For nonlinear systems in ℝ n which are observable but not uniformly, we study how to design explicitly exponential observers, after having the system immersed in ℝ m with m > n . The central issue concerns the determination of a lipschitzian extension in ℝ m of the dynamics, which is defined exclusively on a subset of empty interior. We propose some constructive tools and illustrate their utility on a biological example. Copyright © 2004 John Wiley & Sons, Ltd.
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