Share Email Print
cover

Proceedings Paper

Controlling Newton-Leipnik system via weak control Lyapunov function
Author(s): Yunzhong Song; Huimin Xiao
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

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

© SPIE. Terms of Use
Back to Top