N. Aguila-camacho and M. A. Duarte-mermoud, Fractional adaptive control for an automatic voltage regulator, ISA Trans, vol.52, pp.807-815, 2013.
DOI : 10.1016/j.isatra.2013.06.005

F. Alonge, F. D'ippolito, and F. M. Raimondi, An adaptive control law for robotic manipulator without velocity feedback, Control Eng. Pract, vol.11, pp.999-1005, 2003.
DOI : 10.1016/s0967-0661(02)00232-0

A. Amiri, M. Gharib, M. Moavenian, and K. Torabi, Modelling and control of a SCARA robot using quantitative feedback theory, J. Syst. Control Eng, vol.223, 2009.

K. J. Aström and B. Wittenmark, , 1995.

Y. Bensafia and S. Ladaci, Adaptive control with fractional order reference model, Int. J. of Sciences and Techniques of Automatic Control & Computer Engineering, IJ-STA, vol.5, issue.2, pp.1614-1623, 2011.

J. Borenstein and Y. Koren, Motion control analysis of a mobile robot, J. Dyn. Syst. Meas. Contr, vol.109, pp.73-79, 1987.
DOI : 10.1115/1.3143840
URL : http://www-personal.engin.umich.edu/~johannb/Papers/paper02.pdf

A. Charef, H. H. Sun, Y. Y. Tsao, and B. Onaral, Fractional system as represented by singularity function, IEEE Trans. Autom. Control, vol.37, pp.1465-1470, 1992.
DOI : 10.1109/9.159595

C. Chien, K. Sun, A. Wu, and L. Fi, A robust MRAC using variable structure design for multivariable plants, Automatica, vol.32, issue.6, pp.833-848, 1996.
DOI : 10.1016/0005-1098(96)00009-x

R. Colbaugh, K. Glass, and H. Seraji, Adaptive tracking control of manipulators: theory and experiments, Rob. Comput. Integr. Manuf, vol.12, issue.3, pp.209-216, 1996.

R. Cortesão, Model reference adaptive control for robotic manipulation with Kalman active observers, Genetic Algorithms and Evolution Strategies in Engineering and Computer Science, pp.145-164, 2009.

S. Dadras and H. R. Momeni, Control of a fractional-order economical system via sliding mode, Physica A, vol.389, pp.2434-2442, 2010.

H. Delavari, R. Ghaderi, N. A. Ranjbar, S. H. Hosseinnia, and S. Momani, Adaptive fractional PID Controller for robot manipulator, Proceedings of FDA '10, The 4th IFAC Workshop Fractional Differentiation and its Applications, pp.18-20, 2010.

D. C. Dumitrache, F. E. Cristian, and I. Inoan, A fractional order adaptive controller for a 13C cryogenic isotope separation plant, Proceedings 2012 IEEE International Conference on Automation Quality and Testing Robotics (AQTR), pp.140-143, 2012.
DOI : 10.1109/aqtr.2012.6237690

A. Dumlu and K. Erenturk, Trajectory tracking control for a 3-DOF parallel manipulator using fractional-order PI ? D µ control, IEEE Trans. Ind. Electron, vol.61, issue.7, pp.3417-3426, 2002.
DOI : 10.1109/tie.2013.2278964

L. Feng, Y. Koren, and J. Borenstein, A model-reference adaptive motion controller for a differential-drive mobile robot, Proceedings of IEEE int. Conf. on Robotics and Automation, vol.4, pp.3091-3096, 1994.

D. P. Garg, Adaptive control of nonlinear dynamic SCARA type of manipulators, Robotica, vol.9, pp.319-326, 1991.

M. L. Hadjili and L. Abida, Commande Adaptativè a modéle de référence d'ordre fractionnaire (in French) (Fractional order model refrence adaptive control), Proceedings of CMSE '94 Conference, pp.10-11, 1994.

J. , C. R. Anderson, B. D. Bitmead, and R. R. , A robust, locally optimal model reference adaptive controller, Proceedings of 23rd Conference on Decision and Control, pp.993-997, 1984.

S. Ladaci and A. Charef, Commande adaptativè a modèle de référence d'ordre fractionnaire d'un bras de robot (in French) (Fractional order model reference adaptive contol of a robot arm, Revue Communication Sciences & Technologie, COST, vol.1, pp.50-52, 2002.

S. Ladaci and A. Charef, On fractional adaptive control, Nonlinear Dynamics, vol.43, issue.4, pp.365-378, 2006.

S. Ladaci, J. J. Loiseau, and A. Charef, Fractional order adaptive high gain controllers for a class of linear systems, Commun. Nonlinear Sci. Numer. Simul, vol.13, issue.4, pp.707-714, 2008.

S. Ladaci, A. Charef, and J. J. Loiseau, Robust fractional adaptive control based on the strictly positive realness condition, Int. J. Appl. Math. Comput. Sci, vol.19, issue.1, pp.69-76, 2009.

S. Ladaci, J. J. Loiseau, and A. Charef, Adaptive internal model control with fractional order parameter, Int. J. Adapt. Control Signal Process, vol.24, pp.944-960, 2010.

Y. D. Landau, Adaptive Control: The Model Reference Approach, Marcel Dekker, 1979.

J. Ma, Y. Yao, and D. Liu, Fractional order model reference adaptive control for a hydraulic driven flight motion simulator, Proceedings of 41st Southeastern Symposium on System Theory, pp.340-343, 2009.

M. Makoudi and L. Radouane, A robust model reference adaptive control for non-minimum phase systems with unknown or time-varying delay, Automatica, vol.36, pp.1057-1065, 2000.

S. Manabe, A suggestion of fractional-order controller for flexible, Nonlinear Dynamics, vol.29, pp.251-268, 2002.

M. G. Marcos, F. B. Duarte, and J. A. Machado, Fractional dynamics in the trajectory control of redundant manipulators, Commun. Nonlinear Sci. Numer. Simul, vol.13, pp.1836-1844, 2008.

R. Meí-icio, V. M. Mendes, and J. P. Catalão, Fractional-order control and simulation of wind energy systems with PMSG/full-power converter topology, Energy Convers. Manage, vol.51, pp.1250-1258, 2010.

A. Neçaibia, S. Ladaci, A. Charef, and J. J. Loiseau, Fractional order extremum seeking approach for maximum power point tracking of photo-voltaic panels, Front. Energy, vol.9, issue.1, pp.43-53, 2015.

A. Neçaibia, S. Ladaci, and S. Mekhilef, ABS braking control enhancement via fractional order extremum seeking method, J. Automation Syst. Eng, vol.9, issue.1, pp.23-36, 2015.

A. Oustaloup, F. Levron, B. Mathieu, and F. Nanot, Frequency-band complex non integer differentiator: Characterization and synthesis, IEEE Trans. Circuits Syst, vol.47, issue.1, pp.25-39, 2000.

A. Oustaloup, La Dérivation NonEntì ere : Théorie, Synthèse et Applications, 1995.

P. R. Pagilla and M. Tomizuka, An adaptive output feedback controller for robot arms: stability and experiments, Automatica, vol.37, pp.983-995, 2001.

I. ;. Podlubny and M. A. Roudbari, Design of a robust adaptive control (RAC) of robotic manipulators for trajectory tracking with structured and unstructured uncertainties, Fractional Differential Equations, vol.0, pp.20-22, 1999.

J. Sabatier, A. Oustaloup, A. G. Iturricha, and F. Levron, CRONE control of continuous linear time periodic systems: application to a testing bench, ISA Trans, vol.42, pp.421-436, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00184275

B. Shi, J. Yuan, and C. Dong, On fractional model reference adaptive control, The Scientific World Journal, pp.1-8, 2014.

V. G. Sragovich, Mathematical Theory of Adaptive Control, Interdisciplinary Mathematical Sciences, vol.4, 2006.

P. Tung, S. Wang, and F. Hong, Application of MRAC theory for adaptive control of a constrained robot manipulator, Int. J. Mach. Tools Manuf, vol.40, pp.2083-2097, 2000.

B. M. Vinagre, I. Petras, I. Podlubny, and Y. Chen, Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control, Nonlinear Dynamics, vol.29, pp.269-279, 2002.

A. Visioli and G. Legnani, On the trajectory tracking control of industrial SCARA robot manipulators, IEEE Trans. Ind. Electron, vol.49, issue.1, pp.224-232, 2002.

Y. Wei, Z. Sun, Y. Hu, and Y. Wang, Robust fractional adaptive control based on the strictly positive realness condition, Int. J. Syst. Sci, 2015.

L. L. Whitcomb, A. A. Rizzi, and D. E. Koditschek, Comparative experiments with a new adaptive controller for robot arms, IEEE Trans. Rob. Automation, vol.9, issue.1, pp.59-70, 1993.

Y. Yanling, Model free adaptive control for robotic manipulator trajectory tracking, The Open Automation and Control Systems Journal, vol.7, pp.358-365, 2015.

S. Yildirim, Design of adaptive robot control system using recurrent neural network', J. Intell. Robot. Syst, vol.44, issue.3, pp.247-261, 2005.