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

Author

Lu, Junguo ; Wei, Rong ; Wang, Xiaofan ; Wang, Zhiquan

Author_Institution

Dept. of Autom. Control, Nanjing Univ. of Sci. & Technol., China

Volume

48

Issue

11

fYear

2001

fDate

11/1/2001 12:00:00 AM

Firstpage

1359

Lastpage

1363

Abstract

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

Keywords

Henon mapping; adaptive control; chaos; discrete time systems; stability; tracking; adaptive-backstepping design; backstepping control; chaotic Henon system; dead-beat control; discrete-time chaotic systems; finite time tracking; known parameters; stabilization; steady state; trajectory. tracking; unknown parameters; Backstepping; Chaos; Circuits; Control systems; Feedback control; Lyapunov method; Nonlinear control systems; Nonlinear systems; Steady-state; Trajectory;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.964429

Filename

964429