ISE–OPTIMAL NONMINIMUM–PHASE COMPENSATION FOR NONLINEAR PROCESSES
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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 nonisothermal CSTR with Van de Vusse kinetics, which exhibits nonminimum-phase behavior. Copyright © 2005 IFAC.
author list (cited authors)
Kravaris, C., & Mousavere, D.