Abstract | ||
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This paper considers the delay-dependent stabilization problems and H"~ control problems for uncertain T-S fuzzy system with time-varying delay in a range. A new method is proposed by defining new Lyapunov functionals and introducing some integral inequalities. The merit of the proposed conditions lies in the less conservativeness than the existing ones, which is achieved by paying careful attention to the subtle difference between the two integral terms, which is always ignored in the existing literatures, and the free variables which replace the Leibniz-Newton formula with integral inequalities. The fuzzy state feedback gains are derived through the numerical solution of a set of linear matrix inequalities (LMIs). The efficiency and the benefits of our method are demonstrated by the numerical examples. |
Year | DOI | Venue |
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2009 | 10.1016/j.fss.2008.11.021 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
t–s fuzzy systems,integral term,interval time-varying delay,delay-dependent,integral inequality,new approach,uncertain t-s fuzzy system,new lyapunov functionals,existing literature,fuzzy state feedback gain,new method,numerical example,linear matrix inequality (lmi),numerical solution,proposed condition,fuzzy system,lyapunov function,linear matrix inequality | Information processing,Free variables and bound variables,Matrix (mathematics),Control theory,Fuzzy logic,Fuzzy set,Control system,Fuzzy control system,Lyapunov functionals,Mathematics | Journal |
Volume | Issue | ISSN |
160 | 12 | Fuzzy Sets and Systems |
Citations | PageRank | References |
24 | 1.03 | 12 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Li Li | 1 | 24 | 1.37 |
Xiaodong Liu | 2 | 492 | 28.50 |
Tianyou Chai | 3 | 2014 | 175.55 |