Comments on "Fuzzy fractional order sliding mode controller for nonlinear systems" [Commun Nonlinear Sci Numer Simulat 15 (2010) 963-978]

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 3, 2012, Pages 1489-1492

  Aghababa, Mohammad Pourmahmood ^a  

^a URMIA UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Fractional Lyapunov stability; Fractional order sliding mode; Nonlinear system

Indexed keywords

EID: 80053383498     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.08.009     Document Type: Note

References (8)

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3. Li Y., Chen Y.Q., Podlubny I. Stability of fractional order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability. Comput Math Appl 2010, 59:1810-1821.
4. Podlubny I. Fractional differential equations 1999, Academic Press, New York.
5. Utkin V.I. Sliding modes in control optimization 1992, Springer Verlag, Berlin.
6. Grove A.C. An Introduction to the laplace transform and the ztransform 1991, Prentice Hall, International Edition.
7. Polyakov A., Poznyak A. Lyapunov function design for finite-time convergence analysis: Twisting controller for second-order sliding mode realization. Automatica 2009, 45:444-448.
8. Advances in variable structure and sliding mode control. Extended invariance principle and other analysis tools for variable structure systems 2006, 3-22. Springer, Berlin, Heidelberg, New York. Y. Orlov, I.C. Edwards, E.F. Colet, L. Fridman (Eds.).