Tracking multivariable optimal profiles of induced foreign protein production by recombinant bacteria in a fed-batch reactor

Bioprocesses are difficult to control, especially if one considers the fed-batch operation with more than one variable of control. Mathematical models include stiff and nonlinear differential equations, which are complex when designing a suitable driver for the system. This paper aims to implement a simple but efficient technique based on a linear algebra approach that allows an adequate tracking of optimal profiles of state variables making easier the design of the control system with very satisfactory results. The biological system presented has two control variables and two manipulated variables. The performance of the proposed controller is tested through simulations.