Title
A robust H∞ observer-based controller design for uncertain T-S fuzzy systems with unknown premise variables via LMI
Abstract
This paper addresses the problem of robust H"~ fuzzy observer-based controller design for the Takagi-Sugeno (T-S) fuzzy systems with unmeasurable premise variables. The proposed design method considers uncertainty for such a problem for the first time. Using some linear transformations for the output matrices of each local model of the T-S fuzzy system, and employing Finsler's lemma, the robust stability conditions in the form of linear matrix inequalities (LMIs) are derived. Two numerical simulations are provided to show the validity of the proposed method.
Year
DOI
Venue
2013
10.1016/j.fss.2012.07.008
Fuzzy Sets and Systems
Keywords
Field
DocType
robust H,fuzzy system,unknown premise variable,linear matrix inequality,robust stability condition,proposed design method,linear transformation,T-S fuzzy system,local model,uncertain T-S fuzzy system,proposed method,fuzzy observer-based controller design
Mathematical optimization,Matrix (mathematics),Control theory,Stability conditions,Linear map,Fuzzy control system,Observer (quantum physics),Fuzzy number,Lemma (mathematics),Mathematics,Linear matrix inequality
Journal
Volume
ISSN
Citations 
212,
0165-0114
43
PageRank 
References 
Authors
1.29
22
2
Name
Order
Citations
PageRank
Mohammad Hassan Asemani1739.53
Vahid Johari Majd215415.51