Discrete Dynamics in Nature and Society
Volume 4 (2000), Issue 4, Pages 257-267
doi:10.1155/S1026022600000248
Nonlinear control of chaotic systems: a switching manifold approach
Jin-Qing Fang1
, Yiguang Hong2
, Huashu Qin2
and Guanrong Chen4
1China Institute of Atomic Energy, P.O. Box 275-27, Beijing 102413, China
2lnstitute of Systems Science, Academia Sinica, Beijing 100080, China
4Department of Electrical and Computer Engineering, University of Houston, Houston 77204-4793, TX, USA
Abstract
In this paper, a switching manifold approach is developed for nonlinear feed-back control of chaotic systems. The design strategy is straightforward, and the nonlinear control law is the simple bang-bang control. Yet, this control method is very effective; for instance, several desired equilibria can be stabilized by using one control law with different initial conditions. Its effectiveness is verified by both theoretical analysis and numerical simulations. The Lorenz system simulation is shown for the purpose of illustration.