Nonlinear Feedback Control for the Lorenz System |
| |
| Authors: | Feng Gao W. Q. Liu V. Sreeram K. L. Teo |
| |
| Affiliation: | (1) School of Mathematics and Statistics, Curtin University of Technology, WA, 6102, Australia;(2) School of Computing, Curtin University of Technology, WA, 6102, Australia;(3) Department of Electrical and Electronic Engineering, The University of Western Australia, Nedlands, WA, 6907, Australia;(4) Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong |
| |
| Abstract: | The Lorenz system is well known for its ability to produce chaotic motion and the control problem of this system has attracted much attention in recent years. In this paper, control of the Lorenz chaotic systems based on a nonlinear feedback technique is presented. The objective of control is two-fold: one is to drive the system to one of equilibrium points associated with uncontrolled chaotic motion and the other is to let one of the closed-loop system states track a given signal. The controllers designed here are based on exact linearization theory of nonlinear systems and can regulate the closed-loop system states globally to a given point. Finally, illustrative examples show the effectiveness of the proposed design method. |
| |
| Keywords: | chaotic control the Lorenz system regulation and tracking |
| 本文献已被 SpringerLink 等数据库收录！ |
|
