Extension of the Multistep Newton-type Control Methods for Nonlinear Process Control

This study extends the multistep Newton-type methods for nonlinear constrained process control. It is shown that a generalization of the quadratic index used in the original formulation results in better performance and in a larger domain of applicability of the method. The stability characteristics of the method for constrained asymptotically stable systems are demonstrated and some guidelines for the treatment of open-loop unstable systems are also given. Finally the presence of model mismatch and disturbances is addressed.