Model reduction of LFT systems

Author

Wang, Weizheng ; Doyle, John ; Beck, Carolyn ; Glover, Keith

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

fYear

1991

fDate

11-13 Dec 1991

Firstpage

1233

Abstract

The notion of balanced realizations and balanced truncation model reduction, including guaranteed error bounds, is extended to general Q-stable linear fractional transformations (LFTs). Since both multidimensional and uncertain systems are naturally represented using LFTs, this can be interpreted either as doing state order reduction for multidimensional systems or as uncertainty simplification in the case of uncertain systems. The role of Lyapunov equations in the 1D theory is replaced by linear matrix inequalities (LMIs). All proofs are given in detail as they are very short and greatly simplify even the standard 1D case

Keywords

matrix algebra; modelling; multidimensional systems; stability; transforms; Lyapunov equations; balanced realizations; balanced truncation model reduction; general Q-stable linear fractional transformations; guaranteed error bounds; linear matrix inequalities; multidimensional systems; state order reduction; uncertain systems; uncertainty simplification; Aggregates; Equations; Frequency; Linear matrix inequalities; Machinery; Multidimensional systems; Reduced order systems; Transfer functions; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261574

Filename

261574