Title
On non-PDC local observers for TS fuzzy systems
Abstract
In this paper we propose a method to design local observers for Takagi-Sugeno fuzzy models obtained from nonlinear systems by the sector nonlinearity approach. When a global observer cannot be designed, using our method it is still possible to design observers that are valid in a well-defined region of the state-space. The design is based on a nonquadratic Lyapunov function. Depending on whether or not the scheduling vector is a function of the states to be estimated, the conditions are formulated as an LMI or a BMI problem, respectively. The results are illustrated on simulation examples, for which classical observer design conditions are unfeasible.
Year
DOI
Venue
2010
10.1109/FUZZY.2010.5584650
Fuzzy Systems
Keywords
Field
DocType
Lyapunov methods,control nonlinearities,fuzzy systems,linear matrix inequalities,nonlinear control systems,observers,BMI problem,LMI problem,TS fuzzy systems,Takagi-Sugeno fuzzy models,nonPDC local observers,nonlinear systems,nonquadratic Lyapunov function,sector nonlinearity approach
Lyapunov function,Mathematical optimization,Nonlinear system,Control theory,Scheduling (computing),Computer science,Fuzzy logic,Fuzzy control system,Observer (quantum physics)
Conference
ISSN
ISBN
Citations 
1098-7584
978-1-4244-6919-2
7
PageRank 
References 
Authors
0.53
9
3
Name
Order
Citations
PageRank
Zsófia Lendek1454.33
Thierry Marie Guerra2106073.97
Robert Babuska32200164.90