scholarly journals Rayleigh–Bénard convection in rotating nanofluids layer with feedback control subjected to magnetic field

2019 ◽  
Vol 1366 ◽  
pp. 012025
Author(s):  
Izzati Khalidah Khalid ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Zarina Bibi Ibrahim
Keyword(s):  
Magnetic Field ◽  
Feedback Control ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

scholarly journals Robust feedback control of Rayleigh–Bénard convection

2001 ◽  
Vol 437 ◽  
pp. 175-202 ◽  
Author(s):  
A. C. OR ◽  
L. CORTELEZZI ◽  
J. L. SPEYER
Keyword(s):  
Feedback Control ◽  
Critical Rayleigh Number ◽  
Linear Quadratic ◽  
Parameter Uncertainties ◽  
Sensor Model ◽  
Motion State ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

We investigate the application of linear-quadratic-Gaussian (LQG) feedback control, or, in modern terms, [Hscr ]2 control, to the stabilization of the no-motion state against the onset of Rayleigh–Bénard convection in an infinite layer of Boussinesq fluid. We use two sensing and actuating methods: the planar sensor model (Tang & Bau 1993, 1994), and the shadowgraph model (Howle 1997a). By extending the planar sensor model to the multi-sensor case, it is shown that a LQG controller is capable of stabilizing the no-motion state up to 14.5 times the critical Rayleigh number. We characterize the robustness of the controller with respect to parameter uncertainties, unmodelled dynamics. Results indicate that the LQG controller provides robust performances even at high Rayleigh numbers.

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