Terminal sliding mode control of chaotic Lorenz system: A discrete-time case

Author

Majidabad, Sajjad Shoja ; Shandiz, Heydar Toossian ; Azargoshasb, Siamak

Author_Institution

Shahrood Univ. of Technol., Shahrood, Iran

fYear

2012

fDate

15-17 May 2012

Firstpage

862

Lastpage

867

Abstract

The objective of this paper is to design a finite-time controller for Lorenz system in discrete-time. First, a discrete model is derived through the Taylor series expansion. In the next step, a discrete-time terminal sliding mode controller (DTSMC) is developed to reach a finite-time and high precision control. The stability analysis of DTSMC is presented in the presence of external disturbance and model uncertainties. Numerical simulations of Lorenz system are shown and compared with a discrete-time sliding mode control (DSMC) to illustrate the effectiveness of the proposed control scheme.

Keywords

control system synthesis; discrete time systems; nonlinear control systems; numerical analysis; series (mathematics); stability; uncertain systems; variable structure systems; DTSMC; Taylor series expansion; chaotic Lorenz system; discrete-time case; discrete-time terminal sliding mode controller; external disturbance; finite-time controller design; high precision control; model uncertainties; numerical simulations; stability analysis; Biological system modeling; Chaotic communication; Converters; Numerical models; Robustness; Chaotic system; Discrete-time sliding mode; Finite-time; Terminal sliding mode;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering (ICEE), 2012 20th Iranian Conference on

Conference_Location

Tehran

Print_ISBN

978-1-4673-1149-6

Type

conf

DOI

10.1109/IranianCEE.2012.6292474

Filename

6292474