ISE-Optimal Nonminimum-Phase Compensation for Nonlinear Processes

Authors:	Kravaris Costas, University of Patras, Greece Mousavere Dimitra, University of Patras, Greece
Topic:	6.1 Chemical Process Control
Session:	Nonlinear Process Control
Keywords:	Process control, Nonlinear Control, Nonlinear systems, Non-minimum phase systems, Optimal control

Abstract

This work concerns the optimal regulation of single-input-single-output nonminimum-phase nonlinear processes of relative order one. The problem of calculation of an ISE-optimal, statically equivalent, minimum-phase output for nonminimum-phase compensation is formulated using Hamilton-Jacobi theory and the normal form representation of the nonlinear system. A Newton-Kantorovich iteration is developed for the solution of the pertinent Hamilton-Jacobi equations, which involves solving a Zubov equation at each step of the iteration. The method is applied to the problem of controlling a non- isothermal CSTR with Van de Vusse kinetics, which exhibits nonminimum-phase behavior.