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Switching between multivariable controllers
Author(s) -
Niemann Henrik,
Stoustrup Jakob,
Abrahamsen Rune B.
Publication year - 2004
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.738
Subject(s) - multivariable calculus , control theory (sociology) , parameterized complexity , controller (irrigation) , stability (learning theory) , computer science , control engineering , control (management) , engineering , algorithm , artificial intelligence , agronomy , biology , machine learning
A concept for implementation of multivariable controllers is presented in this paper. The concept is based on the Youla–Jabr–Bongiorno–Kucera (YJBK) parameterization of all stabilizing controllers. Using this scheme for implementation of multivariable controllers, it is shown how it is possible to smoothly switch between multivariable controllers with guaranteed closed‐loop stability. This includes also the case where one or more controllers are unstable. The concept for smooth on‐line changes of multivariable controllers based on the YJBK architecture can also handle the start‐up and shut down of multivariable systems. Furthermore, the start‐up of unstable multivariable controllers can be handled as well. Finally, implementation of (unstable) controllers as a stable Q parameter in a Q ‐parameterized controller can also be achieved. Copyright © 2004 John Wiley & Sons, Ltd.