Abstract | ||
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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 |
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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 Lendek | 1 | 45 | 4.33 |
Thierry Marie Guerra | 2 | 1060 | 73.97 |
Robert Babuska | 3 | 2200 | 164.90 |