Hankel-norm model reduction for delayed fuzzy systems

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 r...

Full description

Saved in:
Bibliographic Details
Main Authors: Hongying Zhou, Xiaojie Su, Yong-Duan Song, Qiulin Yan
Format: Conference Proceeding
Language:English
Subjects:
Approximation methods
Asymptotic stability
Delays
Fuzzy systems
Linear matrix inequalities
Model Reduction
Nonlinear systems
Reduced order systems
T-S Fuzzy System
Time Delay
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1948-9439
1948-9447
DOI:10.1109/CCDC.2015.7162058