Page 648 - Mathematical Techniques of Fractional Order Systems
P. 648
Enhanced Fractional Order Chapter | 20 619
Boulkroune, A., Hamel, S., Azar, A.T., 2016b. Fuzzy control-based function synchronization of
unknown chaotic systems with dead-zone input. Studies in Fuzziness and Soft Computing,
Vol. 337. Springer-Verlag, Germany, pp. 699 718.
Bourouba, B., Ladaci, S., 2017. Stabilization of class of fractional-order chaotic system via new
sliding mode control. 6th International Conference on Systems and Control (ICSC’17), 7-9
May 2017, pp. 470-475, University of Batna 2, Batna, Algeria.
Castro, J.L., 1995. Fuzzy logical controllers are universal approximators. IEEE Trans Syst Man
Cybern 25 (4), 629 635.
Chen, B.S., Lee, C.H., Chang, Y.C., 1996. HN Tracking design of uncertain nonlinear SISO
systems: Adaptive fuzzy approach. IEEE Trans on systems 4 (1), 32 43.
Diethelm, K., Ford, N.J., 2002. Analysis of fractional differential equations. Journal of
Mathematical Analysis and Applications 265 (2), 229 248.
Diethelm, K., Ford, N.J., Freed, A.D., 2003. A predictor corrector approach for the numerical
solution of fractional differential equations. Nonlinear Dynamics 29 (1-4), 3 22.
Diethelm, K., Ford, N.J., Freed, A.D., 2004. Detailed error analysis for a fractional Adams
method. Numerical Algorithms 36 (1), 31 52.
Duarte-Mermoud, M.A., Aguila-Camacho, N., Gallegos, J.A., Castro-Linares, R., 2015. Using
general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional
order systems. Communications in Nonlinear Science and Numerical Simulation 22 (1-3),
650 659 (2015).
Ge, Z.M., Ou, C.Y., 2008. Chaos synchronization of fractional order modified Duffing systems
with parameters excited by a chaotic signal. Chaos Solitons Fractals 35 (4), 705 717.
Georgiou, T.T., Smith, M.C., 1997. Robustness Analysis of Nonlinear Feedback Systems: An
Input-Output Approach. ransactions on Automatic Control 42 (9), 1200 1221. 1997.
Ghoudelbourk, S., Dib, D., Omeiri, A., Azar, A.T., 2016. MPPT Control in wind energy conver-
sion systems and the application of fractional control (PIα) in pitch wind turbine.
International Journal of Modelling, Identification and Control (IJMIC) 26 (2), 140 151.
Grassi, G., Ouannas, A., Azar, A.T., Radwan, A.G., Volos, C., Pham, V.T., et al., 2017. Chaos
Synchronisation Of Continuous Systems Via Scalar Signal. The 6th International
Conference on Modern Circuits and Systems Technologies (MOCAST), 4 6 May 2017,
Thessaloniki Greece.
Hartley, T.T., Lorenzo, C.F., Qammer, H.K., 1995. Chaos on a fractional Chua’s system. IEEE
Trans Circuits Syst. Theory Appl. 42 (8), 485 490.
Hilfer, R., 2001. Applications of fractional calculus in physics. World Scientific, New Jersey.
Ho, H.F., Wong, Y.K., Rad, A.B., 2009. Adaptive fuzzy sliding mode control with chattering elimina-
tion for nonlinear SISO systems. Simulation Modeling Practice and Theory 17 (7), 1199 1210.
Hosseinnia, S.H., Ghaderi, R., Ranjbar, N., Momani, M., 2010. Sliding mode synchronization of
an uncertain fractional order chaotic system. Computers and Mathematics with Applications
59 (5), 1637 1643.
Hung, J.Y., Gao, W., Hung, J.C., 1993. Variable structure control: a survey, IEEE, Trans. Indust.
Electron. 40 (1), 2 22.
Khettab, K., Bensafia, Y., Ladaci, S., 2015. Fuzzy adaptive control enhancement for non-affine
systems with unknown control gain sign, In: Proc. 16th Int. IEEE Conf. on Sciences and
Techniques of Automatic control and computer engineering, STA’2015, Monastir, Tunisia,
pp. 616 621.
Khettab, K., Ladaci, S., Bensafia, Y., 2017a. Fuzzy adaptive control of fractional order chaotic
systems with unknown control gain sign using a fractional order Nussbaum gain. IEEE/
CAA Journal of Automatica Sinica 1 8. PP(99).

