Journal
NONLINEAR DYNAMICS
Volume 67, Issue 3, Pages 1745-1752Publisher
SPRINGER
DOI: 10.1007/s11071-011-0102-7
Keywords
Hyperchaotic system; Only one nonlinear term; Recursive backstepping control; Chaos control
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Funding
- North West AF University [RCZX-2009-01]
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In order to promote the development of chaos in nonlinear systems, and explore more convenient controllers for the engineering application, a four-dimensional nonlinear dynamic system with only one nonlinear term was constructed and its complex dynamic characteristics were analyzed, including the phase trajectory map, Lyapunov exponents, and so on. Furthermore, the recursive backstepping method was proposed to design a different controller; the hyperchaotic system was controlled to an equilibrium point and a periodic orbit. Theoretical analysis is in agreement with simulation results. The results show that the recursive backstepping control method can wipe off chaos, and make the hyperchaotic system achieve stable states. The control process is a smooth transition, and the transition time is short.
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