Backstepping control of discrete-time chaotic systems with application to the Henon system

被引:41
作者
Lu, JG [1 ]
Wei, R [1 ]
Wang, XF [1 ]
Wang, ZQ [1 ]
机构
[1] Nanjing Univ Sci & Technol, Dept Automat Control, Nanjing 210094, Peoples R China
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2001年 / 48卷 / 11期
关键词
backstepping design; chaos control; Lyapunov function; stabilization; tracking;
D O I
10.1109/81.964429
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This brief investigates backstepping and adaptive-backstepping design for the control of a class of discrete-time chaotic systems with known or unknown parameters. The proposed method presents a systematic procedure for the control of a class of discrete-time chaotic systems. It can be used for the stabilization of discrete-time chaotic systems to a steady state as well as tracking of any desired trajectory. Moreover, dead-beat control and tracking, exact stabilization at a fixed point and tracking of any desired trajectory in finite time can be achieved. The chaotic Henon system with known or unknown parameters is taken as an example to illustrate the applicability and effectiveness of the backstepping design.
引用
收藏
页码:1359 / 1363
页数:5
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