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Loop transfer recovery designs with an unknown input reduced‐order observer‐based controller
Author(s) -
Zasadzinski M.,
Darouach M.,
Hayar M.
Publication year - 1995
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.4590050704
Subject(s) - control theory (sociology) , observer (physics) , minimum phase , transfer matrix , controller (irrigation) , norm (philosophy) , mathematics , multivariable calculus , parametrization (atmospheric modeling) , transfer function , matrix (chemical analysis) , computer science , control (management) , control engineering , engineering , physics , materials science , quantum mechanics , artificial intelligence , radiative transfer , law , political science , electrical engineering , composite material , computer vision , biology , agronomy
This paper presents a new approach to the loop transfer recovery (LTR) in linear multivariable control systems, based on the unknown input reduced‐order observer‐based controller. Two parametrization methods for all unknown input observers are presented; the first one is based on the matrix fraction description (MFD) and the second one is developed in ℋℋ ∞ . The LTR for both minimum and non‐minimum phase systems are considered. An exact recovery, based on the unknown input observer, is provided for minimum phase systems. For non‐minimum phase systems, an approximate recovery is obtained by minimizing the ℋ ∞ norm of the recovery matrix.