Analysis and control of a hyperchaotic system with only one nonlinear term |
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Authors: | Di-Yi Chen Lin Shi Hai-Tao Chen Xiao-Yi Ma |
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Institution: | 1.Department of Electrical Engineering,Northwest A&F University,Shaanxi,China;2.College of Mechanical and Electric Engineering,Northwest A&F University,Shaanxi,China |
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Abstract: | 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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Keywords: | |
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