A predictive control algorithm for controlling one-dimensional discrete chaotic system

Author

Yang, Zhihong ; Xu, Xiaotao

Author_Institution

Sch. of Phys. & Inf. Eng., Jianghan Univ., Wuhan, China

fYear

2012

fDate

14-17 July 2012

Firstpage

1033

Lastpage

1035

Abstract

The problem of predictive control of discrete chaotic system is studied. A new controller is designed based on predictive control theorem. The aim is to stabilize the unstable period orbits embedded in one-dimensional discrete chaotic attractors. On the basis of the stability theorems of nonlinear systems, it is proved that the controlled system is stable. Numerical simulations are depicted to verify the effectiveness of the control procedure proposed in this paper.

Keywords

control system synthesis; discrete systems; nonlinear control systems; numerical analysis; predictive control; stability; controller design; nonlinear system stability theorems; numerical simulations; one-dimensional discrete chaotic attractors; one-dimensional discrete chaotic system; predictive control algorithm; unstable period orbit stabilization; Chaos; Control systems; Equations; Logistics; Orbits; Predictive control; Stability analysis; one-dimensional discrete chaotic system; predictive control; unstable period orbit;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science & Education (ICCSE), 2012 7th International Conference on

Conference_Location

Melbourne, VIC

Print_ISBN

978-1-4673-0241-8

Type

conf

DOI

10.1109/ICCSE.2012.6295241

Filename

6295241