Paper Info
Title
Improvements on local non-quadratic stability of Takagi-Sugeno models
Abstract
The present paper proposes simple and effective ways to improve recent results on the estimation of the region of attraction of continuous-time Takagi-Sugeno (TS) models. These estimates are obtained via a novel non-quadratic local stability approach that overcomes infeasible global quadratic conditions. In order to ameliorate these solutions two techniques are proposed to successively obtain better estimations of the stability domain: if a nonlinear model is available, an algorithm alternating closer modeling areas and bigger estimates comes in handy; if not, an algorithm alternating closer polytopes and bigger estimates proves useful. Conditions are expressed as linear matrix inequalities (LMIs) and progressively better estimates of the region of attraction are obtained via linear programming techniques. Some examples are included to illustrate the improvements.
Year
DOI
Venue
2010
10.1109/ISIC.2010.5612899
Intelligent Control
Keywords
DocType
ISSN
continuous time systems,linear matrix inequalities,linear programming,nonlinear systems,stability,continuous-time takagi-sugeno models,linear programming techniques,local nonquadratic stability approach,nonlinear model,linear matrix inequalities (lmi),local asymptotic stability,stability domain,takagi-sugeno models
Conference
2158-9860 E-ISBN : 978-1-4244-5361-0
ISBN
Citations 
PageRank 
978-1-4244-5361-0
0
0.34
References 
Authors
14
4
Name
Order
Citations
PageRank
A. Sala156233.44
Miguel Bernal233523.65
Abdelhafidh Jaadari3733.67
Thierry-Marie Guerra427423.91