Robust Control Design for Systems with Discrete Time Delay of 1,3-PD Fermentation

Abstract

Abstract A disturbed model with discrete time delay for the continuous fermentation of glycerol bio-dissimilation to 1,3-propanediol by Klebsiella pneumoniae is presented in this paper. The biochemistry process cannot refrain from the disturbances caused by both time delay and exogenous disturbance. The above negative factors may restrict and undermine the accomplishment performance of the dynamic system, and even lead to unstable oscillations. In consideration of multiplicity phenomena, the stability behaviors of multiply equilibriums have been analyzed. In order to reduce the disturbance effect, we propose an H∞ controller through LMIs method. The simulation results indicate that the closed-loop system can be assured to be internal stable and to achieve the H∞ performance. The controller might be practicable for the continuous culture.