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Control of a long‐line‐type plant
Author(s) -
Szymkat Maciej,
Görecki Henryk,
Popek Leslaw
Publication year - 1990
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.4660110202
Subject(s) - transfer function , control theory (sociology) , controller (irrigation) , type (biology) , inverse , stability (learning theory) , emphasis (telecommunications) , line (geometry) , computer science , frequency domain , domain (mathematical analysis) , mathematics , control (management) , engineering , mathematical analysis , artificial intelligence , ecology , agronomy , telecommunications , geometry , machine learning , electrical engineering , biology
Abstract This paper presents an approach to the feedback loop controller design problem for plants described by linear partial differential equations of a long‐line type. The classical frequency domain technique called ‘the optimal modulus criterion’ is applied. The different plant cases are classified and the corresponding recurrence formulae for derivatives of the transfer function inverse are derived. The applicability of the presented technique is discussed with particular emphasis on stability and performance aspects. The conclusions for different types of controllers are illustrated with several examples. This analysis uses an originally developed computer package.