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Quantitative effects of weight adjustments in ℋ︁ ∞ control
Author(s) -
Anderson Brian D. O.,
Lanzon Alexander,
Dehghani Arvin,
Bombois Xavier
Publication year - 2008
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.858
Subject(s) - control theory (sociology) , transfer function , controller (irrigation) , perturbation (astronomy) , closed loop , open loop controller , function (biology) , computer science , mathematics , control (management) , control engineering , engineering , artificial intelligence , physics , quantum mechanics , biology , agronomy , electrical engineering , evolutionary biology
Abstract In an ℋ ∞ design, when weights are adjusted, corresponding modifications occur in the synthesized ℋ ∞ controller and the resulting closed‐loop transfer function matrices of interest. In this paper, we seek to understand and provide quantitative results on how weight adjustments directly affect an ℋ ∞ controller and, more importantly, the corresponding closed‐loop transfer function matrices. Here, we explore issues such as whether one can find the new controller as a perturbation of the original controller. Copyright © 2008 John Wiley & Sons, Ltd.