Open Loop Vibrational Control of a Recycled Bioprocess

This paper deals with the vibrational control of a recycled bioprocess, which takes place into a Continuous Stirred Tank Bioreactor (CSTB). The classical control techniques for bioreactors necessitate measurements of states and/or disturbances. However, the bioprocesses are systems that require costly and difficult on-line implementation for sensors. Vibrational control is a non-classical open-loop control method, developed by Bellman, Bentsman and Meerkov, useful for the cases when the instrumentation is not available or is very expensive. The vibrational control is applied by means of zero mean parametric vibrations for shaping the response of a linear or nonlinear system. In this work, the design of a vibrational control for a CSTB with recycle stream is presented. Numerical simulations are considered in order to illustrate the performances of the vibrationally controlled bioprocess. Key-Words: Open-loop control, Vibrational control, Linear time lag systems, Biotechnology