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Proceedings Paper

Controlling Newton-Leipnik system via weak control Lyapunov function
Author(s): Yunzhong Song; Huimin Xiao
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Paper Abstract

Controller via Weak Control Lyapunov Function (WCLF) was presented for Newton-Leipnik equation, which has two strange attractors: the upper attractor (UA) and the lower attractor (LA). The final structure of this controller for original stabilization has a variable-structure nonlinear feedback form. Through WCLF principle, three different kinds of chaotic control were investigated, separately: the original control forcing the chaotic motion to settle down to the origin from any arbitrary position of the phase space; the chaotic intra-attractor control for stabilizing the equilibrium points only belonging to the upper chaotic attractor or the lower chaotic one, and the inter-attractor control for compelling the chaotic oscillation from one basin to another one. Both theoretical analysis and simulation results verify the validity of the suggested method.

Paper Details

Date Published: 13 October 2008
PDF: 6 pages
Proc. SPIE 7129, Seventh International Symposium on Instrumentation and Control Technology: Optoelectronic Technology and Instruments, Control Theory and Automation, and Space Exploration, 71291I (13 October 2008); doi: 10.1117/12.807493
Show Author Affiliations
Yunzhong Song, Henan Polytechnic Univ. (China)
Huimin Xiao, Henan Univ. of Finance and Economics (China)


Published in SPIE Proceedings Vol. 7129:
Seventh International Symposium on Instrumentation and Control Technology: Optoelectronic Technology and Instruments, Control Theory and Automation, and Space Exploration

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