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Improvements on the computation of boundaries in QFT
Author(s) -
Carlos Moreno José,
Baños Alfonso,
Berenguel Manuel
Publication year - 2006
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1078
Subject(s) - computation , computer science , key (lock) , algorithm , transfer function , domain (mathematical analysis) , process (computing) , frequency domain , quantitative feedback theory , function (biology) , control theory (sociology) , theoretical computer science , mathematics , robust control , engineering , artificial intelligence , mathematical analysis , control system , computer security , electrical engineering , control (management) , computer vision , operating system , evolutionary biology , biology
Quantitative feedback theory (QFT) is an engineering design technique of uncertain feedback systems that uses frequency domain specifications. A key step in QFT is the mapping of these specifications into regions of the Nichols plane, whose borders are usually referred to as boundaries. Boundaries computation is a key design step, thus a precise and efficient computation is critical for both obtaining low bandwidth feedback compensators and simplification of the design process. In this work, the problem of boundaries computation is analysed, introducing a new algorithm based on the computation of level curves of a three‐dimensional surface. Besides magnitude boundaries, associated with some specification over the magnitude of a closed‐loop transfer function, phase boundaries are also considered. In addition, comparison with previous published algorithms is done in terms of precision and computational efficiency. Copyright © 2006 John Wiley & Sons, Ltd.