Journal
OPTIK
Volume 124, Issue 22, Pages 5807-5810Publisher
ELSEVIER GMBH, URBAN & FISCHER VERLAG
DOI: 10.1016/j.ijleo.2013.04.054
Keywords
Four-wing hyperchaotic attractor; Fractional-order; Robust control; Mittag-Leffler stability
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Funding
- National Natural Science Foundation of China [61263021]
- Natural Science Foundation of Hunan, China [10JJ30052]
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This paper reports a new fractional-order four-dimensional (4D) smooth autonomous system which is special since it can generate a four-wing hyperchaotic attractor but has only one zero equilibrium. The issue of robust control for the fractional-order hyperchaotic system with uncertainties and interference is considered. On the basis of the fractional Lyapunov stability theorem, a linear state feedback controller is derived to guarantee robust Mittag-Leffler stability of the fractional-order hyperchaotic system. The control strength matrix is obtained by solving the linear matrix inequality (LMI). The effectiveness and robustness of the proposed scheme is verified via numerical simulation. (C) 2013 Elsevier GmbH. All rights reserved.
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