Journal
NONLINEAR DYNAMICS
Volume 76, Issue 4, Pages 2059-2071Publisher
SPRINGER
DOI: 10.1007/s11071-014-1268-6
Keywords
Fractional order dynamical system; Hyperchaotic synchronization; Sliding mode control; Lyapunov methodology; Predictor-corrector algorithm
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Funding
- National Natural Science Foundation of China [51307130, 51177117]
- State Key Laboratory of Electrical Insulation and Power Equipment [EIPE 12312]
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This paper considers the design of adaptive sliding mode control approach for synchronization of a class of fractional-order arbitrary dimensional hyperchaotic systems with unknown bounded disturbances. This approach is based on the principle of sliding mode control and adaptive compensation term for solving the problem of synchronization of the unknown parameters in fractional-order nonlinear systems. In particular, a novel fractional-order five dimensional hyperchaotic system has been introduced as a representative example. Furthermore, global stability and asymptotic synchronization between the outputs of master and slave systems can be achieved based on the modified Lyapunov functional and fractional stability condition. Simulation results are provided in detail to illustrate the performance of the proposed approach.
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