DocumentCode
307199
Title
Approximation of linear parameter-varying systems
Author
Wood, G.D. ; Goddard, P.J. ; Glover, K.
Author_Institution
Dept. of Eng., Cambridge Univ., UK
Volume
1
fYear
1996
fDate
11-13 Dec 1996
Firstpage
406
Abstract
Two well known LTI approximation methods-balanced truncation and optimal Hankel norm approximation-are extended to the LPV framework. Quadratic stability of the approximants and generalisations of known LTI error bounds are examined. The concept of the graph operator of an LPV system is discussed. We show how, by approximating the graph operator, the state-dimension of models that are not quadratically stable may be reduced
Keywords
Hankel matrices; approximation theory; control system synthesis; graph theory; reduced order systems; stability; LPV system; LTI approximation methods; LTI error bounds; balanced truncation; graph operator; linear parameter-varying systems; optimal Hankel norm approximation; quadratic stability; state-dimension reduction; Approximation error; Approximation methods; Control system synthesis; Control systems; Control theory; Equations; Lighting control; Linear approximation; Optimal control; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location
Kobe
ISSN
0191-2216
Print_ISBN
0-7803-3590-2
Type
conf
DOI
10.1109/CDC.1996.574345
Filename
574345
Link To Document