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H ∞ generalized minimum sensitivity control design
Author(s) -
Casavola Alessandro,
Mosca Edoardo
Publication year - 1991
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.4590010302
Subject(s) - sensitivity (control systems) , control theory (sociology) , mathematical optimization , polynomial , minification , mathematics , variance (accounting) , class (philosophy) , gsm , minimum variance unbiased estimator , control (management) , joint (building) , computer science , engineering , statistics , artificial intelligence , mean squared error , telecommunications , mathematical analysis , accounting , electronic engineering , business , architectural engineering
Abstract This paper presents a two‐stage approach to the H ∞ generalized sensitivity minimization problem ( H ∞ ‐GSM) for SISO, continuous‐time plants. Besides some possible advantages in the control law evaluation with respect to alternative polynomial methods, the proposed approach provides a direct link with the solution of an underlying generalized minimum variance ( H 2 ‐GMV) problem and allows one to identify the class of the joint H 2 / H ∞ ‐GMV (equalizing H 2 ‐GMV) optimal controllers.