μ-Synthesis of dissimilation process of glycerol to 1,3-propanediol in microbial continuous culture

In this paper, robust control problem using μ-synthesis in microbial continuous culture is studied. The dissimilation process of glycerol to 1,3-propanediol cannot avoid the disturbances caused by uncertain factors. Based on the biodynamical model, a control system with the initial glycerol concentration as input control is proposed to simplify the controller design. μ-synthesis method is applied to find a feedback controller to assure both of robust stability and robust performance of the closed-loop system simultaneously. To solve the corresponding structured singular value optimization problem, a converged result is obtained through D-K iteration method. The μ-synthesis system is also compared with the corresponding H(∞) system. The simulation results indicate that the μ-controller might be more feasible for the continuous bioprocess controlling.