Feedforward and Feedback Tracking Control of Diffusion-Convection-Reaction Systems using Summability Methods
Diffusion-convection-reaction (DCR) processes occur in a large variety in chemical and biochemical engineering such as fixed-bed tubular reactors for production or degradation. Modeling of these processes leads to distributed-parameter systems. Thereby, classical control design approaches typically address the stabilization problem while neglecting the tracking control problem e.g. to realize finite time transitions between operating profiles. In order to solve this problem, a unique combination of formal power series and advanced summability methods is proposed for feedforward control design and motion planning for boundary controlled DCR systems. In addition, the application of formal power series to flatness-based feedback tracking control design with profile estimation is illustrated for various DCR examples, such as fixed-bed tubular reactor models.