On the Control of Chaos in Rayleigh- Bénard Convection in Maxwellian Fluids Using Backstepping Design
The problem of controlling chaos in Rayleigh-Bénard convection in weakly elastic fluids is examined here. The nonlinear model presented in the article is based on the model proposed by Khayat. Chaotic behavior in this nonlinear system is controlled using backstepping design. By applying proposed controller, the dynamic of the system is stabilized on the desired trajectory. Simulation results show the high performance of the method for chaos elimination in this system.