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A Two‐Level optimal final‐value control system for non‐linear plants realized with mini/micro computers
Author(s) -
Asselmeyer B.
Publication year - 1982
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660030104
Subject(s) - control theory (sociology) , controller (irrigation) , interval (graph theory) , sampling (signal processing) , realization (probability) , line (geometry) , optimal control , sampling interval , computer science , control system , mathematics , mathematical optimization , control (management) , control engineering , engineering , statistics , geometry , electrical engineering , filter (signal processing) , combinatorics , artificial intelligence , agronomy , computer vision , biology
A two‐level approach for optimal final‐value control of non‐linear systems is considered. On the higher level, an on‐line optimization (using a Ritz parameterization of the control functions 1 ) is performed during each major sampling interval in order to compute the control functions for the next intervals. On the lower level, an explicit model‐following control is used with a minor sampling interval. This allows, even for heavily disturbed systems, sufficiently long major intervals for the on‐line optimization. An ammonia reactor 2 is used as an example, and the application of this procedure is discussed. A realization of the controller using a hierarchical computer configuration gives an indication that, with a reasonable amount of hardware, sampling intervals of about one minute for the on‐line optimization and well below one second for the model‐following control may be obtained.