In this paper an appropriate paradigm of multi-variable dynamic systems of strong non-linear coupling, a polymerization process is considered. Since the state propagation of the various internal degrees of freedom cannot directly be controlled, and the desired output is nonlinear function of these quantities, adaptive control is needed even in the possession of the exact dynamic model. Only a single input variable is used as the control signal and a single output variable is observed. Considering the details of the dynamics of the transitions between different steady states the role of choosing proper sampling rate is analyzed. The conclusions are justified by simulation results. Copyright - World Automation Congress (WAC) 2006.