Reduction of dynamic LFT systems with LTI model uncertainties | Zendy

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Reduction of dynamic LFT systems with LTI model uncertainties

Author(s) -

Ferreres Gilles

Publication year - 2004

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.892

Subject(s) - control theory (sociology) , lti system theory , computation , reduction (mathematics) , interval (graph theory) , constant (computer programming) , mathematics , invariant (physics) , linear system , computer science , control (management) , mathematical analysis , algorithm , geometry , combinatorics , artificial intelligence , mathematical physics , programming language

A method was proposed by Beck et al . ( IEEE Trans Automatic Control , 1996; 41 : 1466–1477), for reducing an LFT system with linear time varying model uncertainties. This paper extends this method to the case of linear time invariant model uncertainties, by computing on a finite frequency interval frequency‐dependent generalized grammians. The original method by Beck et al . is proved to be equivalent to the computation of constant generalized grammians on the infinite frequency interval (−∞,+∞). Copyright © 2004 John Wiley & Sons, Ltd.

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