Hankel-norm model reduction for delayed fuzzy systems

Author

Hongying Zhou ; Xiaojie Su ; Yong-Duan Song ; Qiulin Yan

Author_Institution

Coll. of Autom., Chongqing Univ., Chongqing, China

fYear

2015

fDate

23-25 May 2015

Firstpage

964

Lastpage

968

Abstract

The problem of Hankel-norm model reduction is investigated for the T-S fuzzy system with time-varying delays. Our key work is to construct the reduced-order model based on a given stable system, which approximates the original system well in a specified Hankel-norm performance. On the basis of the reciprocally convex approach, an asymptotically stable condition is proposed for the corresponding error system with a Hankel-norm error performance. Then, the reduced-order model is obtained by utilizing the projection approach, which converts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints.

Keywords

asymptotic stability; delay systems; fuzzy systems; linear matrix inequalities; minimisation; reduced order systems; time-varying systems; Hankel-norm model reduction; T-S fuzzy system; asymptotic stability condition; delayed fuzzy systems; error system; linear matrix inequality constraints; projection approach; reciprocal convex approach; reduced-order model; sequential minimization problem; time-varying delays; Approximation methods; Asymptotic stability; Delays; Fuzzy systems; Linear matrix inequalities; Nonlinear systems; Reduced order systems; Model Reduction; T-S Fuzzy System; Time Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162058

Filename

7162058