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ISE-optimal nonminimum-phase compensation for nonlinear processes

✍ Scribed by Costas Kravaris; Dimitra Mousavere

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
366 KB
Volume
17
Category
Article
ISSN
0959-1524

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✦ Synopsis

This work concerns the optimal regulation of single-input-single-output nonminimum-phase nonlinear processes. 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 behaviour.

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