We investigate the effect of the finite horizontal boundary properties on the critical
Rayleigh and wave numbers for controlled Rayleigh–Bénard convection in an infinite
horizontal domain. Specifically, we examine boundary thickness, thermal diffusivity
and thermal conductivity. Our control method is through perturbation of the lower-boundary heat flux. A linear proportional-differential control method uses the local
amplitude of a shadowgraph to actively redistribute the lower-boundary heat flux.
Realistic boundary conditions for laboratory experiments are selected. Through linear
stability analysis we examine, in turn, the important boundary properties and make
predictions of the properties necessary for successful control experiments. A surprising
finding of this work is that for certain realistic parameter ranges, one may find an
isola to time-dependent convection as the primary bifurcation.