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ℋ︁ 2 /ℋ︁ ∞ output information‐based disturbance attenuation for differential linear repetitive processes
Author(s) -
Paszke Wojciech,
Rogers Eric,
Gałkowski Krzysztof
Publication year - 2010
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.1672
Subject(s) - control theory (sociology) , attenuation , observer (physics) , differential (mechanical device) , controller (irrigation) , differential equation , disturbance (geology) , matrix (chemical analysis) , computer science , mathematics , linear differential equation , process (computing) , linear system , control (management) , engineering , mathematical analysis , physics , artificial intelligence , paleontology , quantum mechanics , optics , composite material , biology , operating system , aerospace engineering , agronomy , materials science
Repetitive processes propagate information in two independent directions where the duration of one is finite. They pose control problems that cannot be solved by application of results for other classes of 2D systems. This paper develops controller design algorithms for differential linear processes, where information in one direction is governed by a matrix differential equation and in the other by a matrix discrete equation, in an ℋ 2 /ℋ ∞ setting. The objectives are stabilization and disturbance attenuation, and the controller used is actuated by the process output and hence the use of a state observer is avoided. Copyright © 2010 John Wiley & Sons, Ltd.