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Approximate solutions to a weighted mixed‐sensitivity H ∞ ‐control design for irrational transfer matrices
Author(s) -
Curtain R. F.,
Weiss M.,
Zhou Y.
Publication year - 1996
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/(sici)1099-1239(199606)6:5<399::aid-rnc220>3.0.co;2-t
Subject(s) - irrational number , mathematics , matrix (chemical analysis) , sensitivity (control systems) , transfer matrix , transfer (computing) , order (exchange) , approximation error , control (management) , mathematical optimization , computer science , chemistry , economics , geometry , artificial intelligence , parallel computing , finance , chromatography , electronic engineering , engineering , computer vision
Approximate solutions to a weighted mixed‐sensitivity H ∞ ‐control problem for an irrational transfer matrix are obtained by solving the same problem for a reduced‐order (rational) transfer matrix. Upper and lower bounds are given in terms of the solution to the reduced‐order problem and the approximation error. A delay example and a pde example are discussed.