Abstract

The subject of this paper is specific growth rate control of a fed-batch biotechnological process. The objective of the paper is to present comfortable tools and mathematical methodology that permits control stabilization of biotechnological processes with synchronized utilization of different mathematical approaches. The control design is based on the equivalent transformations to Brunovsky normal form of an enlarged Monod-Wang model, on a chattering optimal control and sliding mode control solutions. This approach permits new precise control solutions for stabilization of continuous and fed-batch cultivation processes. In the paper are investigated Monod-Wang kinetic model and it singular Monod form. The simpler Monod and Monod-Wang models are restricted forms of Wang-Yerusalimsky model. The Wang-Yerusalimsky kinetic model could be accepted as a common model. A second order sliding mode is investigated and compared with standard sliding mode algorithms. The sliding mode control permits to solve the control problems with smaller quantity of priory information and elimination of parameters and measurements noises.