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On the sliding‐mode control of fractional‐order nonlinear uncertain dynamics
Author(s) -
Jakovljević B.,
Pisano A.,
Rapaić M. R.,
Usai E.
Publication year - 2015
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3337
Subject(s) - control theory (sociology) , sliding mode control , nonlinear system , convergence (economics) , constructive , lyapunov function , variable structure control , computer science , fractional calculus , mathematics , control (management) , artificial intelligence , physics , process (computing) , quantum mechanics , economics , economic growth , operating system
Summary This paper deals with applications of sliding‐mode‐based fractional control techniques to address tracking and stabilization control tasks for some classes of nonlinear uncertain fractional‐order systems. Both single‐input and multi‐input systems are considered. A second‐order sliding‐mode approach is taken, in suitable combination with PI‐based design, in the single‐input case, while the unit‐vector approach is the main tool of reference in the multi‐input case. Sliding manifolds containing fractional derivatives of the state variables are used in the present work. Constructive tuning conditions for the control parameters are derived by Lyapunov analysis, and the convergence properties of the proposed schemes are supported by simulation results. Copyright © 2015 John Wiley & Sons, Ltd.