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Robustness of ISS systems to inputs with limited moving average: Application to spacecraft formations
Author(s) -
Grøtli Esten Ingar,
Panteley Elena,
Chaillet Antoine,
Gravdahl Jan Tommy
Publication year - 2015
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.3339
Subject(s) - spacecraft , robustness (evolution) , control theory (sociology) , bounded function , offset (computer science) , computer science , aerospace engineering , mathematics , engineering , control (management) , artificial intelligence , mathematical analysis , biochemistry , chemistry , gene , programming language
Summary We provide a theoretical framework that fits realistic challenges related to spacecraft formation with disturbances. We show that the input‐to‐state stability of such systems guarantees some robustness with respect to a class of signals with bounded average‐energy, which encompasses the typical disturbances acting on spacecraft formations. Solutions are shown to converge to the desired formation, up to an offset, which is somewhat proportional to the considered moving average of disturbances. In the presence of fast peaking perturbations, the approach provides a tighter evaluation of the disturbances' influence, which allows for the use of more parsimonious control gains. Copyright © 2015 John Wiley & Sons, Ltd.