On-line optimization of batch reactors with two manipulated inputs

In this paper, we address the issue of developing nonlinear state feedback laws for on-line optimization of batch processes with two manipulated inputs where one input appears as a nonlinear function in the state model and the other input appears as a linear function in the state model. Optimal state feedback laws are derived in terms of the system Lie brackets. The methodology is illustrated via simulation of an end-point optimization problem in a batch reactor.