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Image of Journal of Applied Nonlinear Dynamics
ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Fractional-order State Observers for Integer-order Linear Systems

Journal of Applied Nonlinear Dynamics 6(2) (2017) 251--264 | DOI:10.5890/JAND.2017.06.010

Carolina Pacheco$^{1}$,$^{2}$ , Manuel A. Duarte-Mermoud$^{1}$,$^{2}$, Norelys Aguila-Camacho$^{1}$,$^{2}$ , Rafael Castro-Linares$^{3}$

$^{1}$ Electrical Engineering Department, University of Chile, Av. Tupper 2007, Santiago, Chile

$^{2}$ Advanced Mining Technology Center (AMTC), University of Chile, Av. Tupper 2007, Santiago, Chile

$^{3}$ Electrical Engineering Department, Mechatronics Section, CINVESTAV, Av. IPN 25018, México D.F., México

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Abstract

To perform a robot-assisted surgery of a prosthesis implantation on a patient’s femur, we may need to get the femoral head-neck orientation for the application. We can extract that information from Computed Tomography scans, using image processing. In image processing, edge detection often makes use of integer-order differentiation operators (e.g. Canny and LoG operators). This paper shows that introducing non-integer (fractional) differentiation to edge detectors (Fractional Canny, Fractional LoG, Fractional Derivative operators) can improve automatic edge detection results

Acknowledgments

This work has been supported by CONICYT- Chile, under the grants FB0809 Advanced Mining Technology Center, FONDECYT Regular 1120453 Improvements of Adaptive Systems Performance by using Fractional Order Observers and Particle Swarm Optimization, FONDECYT Regular 1150488 Fractional Error Models in Adaptive Control and Applications and FONDECYT 3150007 Postdoctoral Program 2015.

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