In this paper the problem of estimation and control of a bioprocess is approached. These tasks were performed using the interval observers and multiple model predictive control approaches. For estimation of nonlinear and uncertain biotechnological process a robust interval observer was used. The model predictive control, in particular nonlinear model predictive control, that is an advanced control technique for automatic control of the nonlinear processes under operating constraints was used in this paper. Finally, some simulation results are presented, in order to demonstrate the effectiveness of the proposed estimation and control algorithms.