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Interval observer design based on nonlinear hybridization and practical stability analysis
Author(s) -
Meslem N.,
Ramdani N.
Publication year - 2011
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1208
Subject(s) - bounded function , control theory (sociology) , observer (physics) , interval (graph theory) , nonlinear system , interval arithmetic , stability (learning theory) , upper and lower bounds , mathematics , dynamical systems theory , state (computer science) , hybrid system , computer science , algorithm , control (management) , artificial intelligence , mathematical analysis , physics , quantum mechanics , combinatorics , machine learning
Abstract In this paper we design an interval observer for nonlinear uncertain continuous‐time dynamical systems, in the unknown‐but‐bounded error framework. We show how to generate two coupled hybrid observers, which yield the best conservative upper and lower component‐wise bounds for the state, provided bounds are available for initial conditions and uncertainties. The interval observer depends on a tuning gain, which is chosen to satisfy the practical stability of a given hybrid dynamical system. An example is studied to emphasize the performance of our method. Copyright © 2010 John Wiley & Sons, Ltd.