Controller order reduction with guaranteed performance via coprime factorization | Zendy

Wang JinZhi | Zendy; Huang Lin | Zendy

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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.

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