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Constraint handling in optimization‐based control of a heat‐up problem using a transformation approach
Author(s) -
Utz Tilman,
Rhein Sönke,
Graichen Knut
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410435
Subject(s) - constraint (computer aided design) , mathematical optimization , optimization problem , transformation (genetics) , class (philosophy) , boundary (topology) , computer science , boundary value problem , state (computer science) , mathematics , partial differential equation , algorithm , mathematical analysis , biochemistry , chemistry , geometry , artificial intelligence , gene
Abstract An approach is presented for optimization‐based control of a class of boundary‐controlled parabolic partial differential equations, which are subject to state and input constraints. In order to avoid the potential numerical complexity of constrained optimization, suitably chosen asymptotic saturation functions are used to reformulate the original problem in new coordinates. The resulting unconstrained problem can then be solved with methods of unconstrained optimization, which is interesting for use in model predictive control schemes. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)