Robust adaptive fractional-order observer for a class of fractional-order nonlinear systems with unknown parameters

Robust adaptive fractional-order observer for a class of fractional-order nonlinear systems with... Nonlinear Dyn https://doi.org/10.1007/s11071-018-4368-x ORIGINAL PAPER Robust adaptive fractional-order observer for a class of fractional-order nonlinear systems with unknown parameters Kai Chen · Rongnian Tang · Chuang Li · Pengna Wei Received: 20 April 2017 / Accepted: 16 May 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract This paper investigates the parameter and operators. Fractional differential equations (FDEs), state estimation problems for a class of fractional-order which are based on the fractional-order derivative and nonlinear systems subject to the perturbation on the integration, outperform the ordinary differential equa- observer gain. The fractional-order nonlinear systems tions (ODEs) owing to the ability of revealing inherit are linear in the unknown parameters and nonlinear memory and hereditary properties of various material in the states. Based on the equivalent integer-order and processes in real physical world. Fractional-order differential equations, a fractional-order non-fragile dynamic systems, i.e., dynamic systems described by observer and two kinds of fractional-order adaptive law the FDEs, have attracted more and more attentions both are derived by applying the direct Lyapunov approach. in the scientific and engineering community in recent The results are systematically obtained in terms of lin- decades. Previous studies have demonstrated that many ear matrix http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

Robust adaptive fractional-order observer for a class of fractional-order nonlinear systems with unknown parameters

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Publisher
Springer Netherlands
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-018-4368-x
Publisher site
See Article on Publisher Site

Abstract

Nonlinear Dyn https://doi.org/10.1007/s11071-018-4368-x ORIGINAL PAPER Robust adaptive fractional-order observer for a class of fractional-order nonlinear systems with unknown parameters Kai Chen · Rongnian Tang · Chuang Li · Pengna Wei Received: 20 April 2017 / Accepted: 16 May 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract This paper investigates the parameter and operators. Fractional differential equations (FDEs), state estimation problems for a class of fractional-order which are based on the fractional-order derivative and nonlinear systems subject to the perturbation on the integration, outperform the ordinary differential equa- observer gain. The fractional-order nonlinear systems tions (ODEs) owing to the ability of revealing inherit are linear in the unknown parameters and nonlinear memory and hereditary properties of various material in the states. Based on the equivalent integer-order and processes in real physical world. Fractional-order differential equations, a fractional-order non-fragile dynamic systems, i.e., dynamic systems described by observer and two kinds of fractional-order adaptive law the FDEs, have attracted more and more attentions both are derived by applying the direct Lyapunov approach. in the scientific and engineering community in recent The results are systematically obtained in terms of lin- decades. Previous studies have demonstrated that many ear matrix

Journal

Nonlinear DynamicsSpringer Journals

Published: Jun 2, 2018

References

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