Title :
Stabilization of chaotic system based on Lyapunov method
Author :
Qiaoping, Li ; Wenlin, Li
Author_Institution :
Math. Dept., Henan Inst. of Sci. & Technol., Xinxiang, China
Abstract :
Using the Lyapunov stability theory, design two new control laws, which can stabilize the equilibria of a special chaotic system-Lorenz system rapidly, at the same time, this control law can effectively restrain the chattering, which means the dynamic performance of the system is superior than previous results. And a strict mathematical proof for the conclusion is given in this paper. Financially, the simulation results show the superiority of the method in this article.
Keywords :
Lyapunov methods; chaos; nonlinear systems; stability; Lorenz system; Lyapunov method; chaotic system stabilization; control law; Engines; Lorenz system; Lyapunov method; chattering;
Conference_Titel :
Computer and Communication Technologies in Agriculture Engineering (CCTAE), 2010 International Conference On
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-6944-4
DOI :
10.1109/CCTAE.2010.5544534