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Controller order reduction with guaranteed performance via coprime factorization
Author(s) -
Wang JinZhi,
Huang Lin
Publication year - 2003
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.734
Subject(s) - coprime integers , reduction (mathematics) , controller (irrigation) , control theory (sociology) , factorization , order (exchange) , mathematics , computer science , mathematical optimization , algorithm , control (management) , artificial intelligence , economics , geometry , finance , agronomy , biology
In this paper the problems of the suboptimal H ∞ controller order reduction and strictly positive real (SPR) controller order reduction via coprime factorization are studied. The sufficient conditions to ensure the reduced order controllers also being suboptimal H ∞ controllers and SPR are given, respectively. The conditions presented may be considered as frequency weighted model reduction problems. We generalize the result of C ℱ( θ ) approach in Goddard (Ph.D. Thesis, Trinity College, Cambridge, 1995) for controller order reduction with an H ∞ framework and the relationship between our results and some other existing results is established. Copyright © 2003 John Wiley & Sons, Ltd.