Sliding mode control of chaotic Rayleigh-Bénard convection in Maxwellian fluids

Author

Rashedi, M. ; Sadeghian, H. ; Alasty, A.

Author_Institution

Dept. of Mech. Eng., Sharif Univ. of Technol., Tehran, Iran

fYear

2009

fDate

14-17 July 2009

Firstpage

1194

Lastpage

1199

Abstract

This paper presents an attempt to control the chaotic behavior of Rayleigh-Benard convection system in weakly elastic fluids. In this article, a nonlinear model is presented which fundamentally refers to a model introduced by Khayat. The nonlinear model has chaotic behavior which is controlled by using sliding mode method. In the presence of uncertainty for some parameters of the model, a controller is designed to stabilize the dynamic of the system on the desired trajectory. Different simulation results are presented to demonstrate the effectiveness of the designed controller in tracking different desired trajectories.

Keywords

chaos; control system synthesis; convection; nonlinear control systems; nonlinear dynamical systems; position control; stability; uncertain systems; variable structure systems; Maxwellian fluid; Rayleigh-Benard convection system; chaotic behavior control; controller design; nonlinear dynamic system; nonlinear model; parameter uncertainty; sliding mode control; stability; trajectory tracking; weakly elastic fluid; Chaos; Control systems; Equations; Fluid dynamics; Heat transfer; Mechanical engineering; Motion control; Nonlinear dynamical systems; Sliding mode control; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Intelligent Mechatronics, 2009. AIM 2009. IEEE/ASME International Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4244-2852-6

Type

conf

DOI

10.1109/AIM.2009.5229749

Filename

5229749