On Observer Design for Nonlinear Caputo Fractional‐Order Systems

The observer design problem for integer‐order systems has been the subject of several studies. However, much less interest has been given to the more general fractional‐order systems, where the fractional‐order derivative is between 0 and 1. In this paper, a particular form of observers for integer‐...

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Published inAsian journal of control Vol. 20; no. 4; pp. 1533 - 1540
Main Authors Jmal, Assaad, Naifar, Omar, Ben Makhlouf, Abdellatif, Derbel, Nabil, Hammami, Mohamed Ali
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc 01.07.2018
Subjects
Computer simulation
Design engineering
Feedback control
Fractional‐order systems
Nonlinear systems
observer design
separation principle
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Summary:The observer design problem for integer‐order systems has been the subject of several studies. However, much less interest has been given to the more general fractional‐order systems, where the fractional‐order derivative is between 0 and 1. In this paper, a particular form of observers for integer‐order Lipschitz, one‐sided Lipschitz and quasi‐one‐sided Lipschitz systems, is extended to the fractional‐order calculus. Then, the obtained states estimates are used for an eventual feedback control, and the separation principle is tackled. The effectiveness of the proposed scheme is shown through simulation for two numerical examples.
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ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.1645