Estimation problems for a class of impulsive systems

This paper deals with on‐line identification of continuous‐time systems subject to impulsive terms. Using a distribution framework, a scheme is proposed in order to annihilate singular terms in differential equations representing a class of impulsive systems. As a result, an online estimation of unk...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2011-07, Vol.21 (10), p.1066-1079
Main Authors: Belkoura, L., Floquet, T., Ibn Taarit, K., Perruquetti, W., Orlov, Y.
Format: Article
Language:English
Subjects:
Automatic Control Engineering
Computer Science
Computer simulation
Differential equations
hybrid systems
identification
Impulses
impulsive systems
Mathematical models
Nonlinearity
On-line systems
Online
Switching
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Summary:This paper deals with on‐line identification of continuous‐time systems subject to impulsive terms. Using a distribution framework, a scheme is proposed in order to annihilate singular terms in differential equations representing a class of impulsive systems. As a result, an online estimation of unknown parameters is provided, regardless of the switching times or the impulse rules. Numerical simulations of physical processes with noisy data are illustrating our methodology and results. Copyright © 2010 John Wiley & Sons, Ltd.
ISSN:1049-8923
1099-1239
1099-1239
DOI:10.1002/rnc.1621