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Mobile QR Code QR CODE : The Transactions of the Korean Institute of Electrical Engineers
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Title Sampled-data Control for Lur'e Dynamical Systems
Authors 유아연(Liu, Yajuan) ; 이상문(Lee, Sangmoon)
DOI https://doi.org/10.5370/KIEE.2014.63.2.261
Page pp.261-265
ISSN 1975-8359
Keywords Sampled-data ; Time-varying delay ; Stability ; Lyapunov method ; LMI
Abstract This paper studies the problem of the sampled-data control for Lur'e system with nonlinearities. The nonlinearities are expressed as convex combinations of sector and slope bounds. It is assumed that the sampling periods are arbitrarily varying but bounded. By constructing a new augmented Lyapunov-Krasovskii functional which have an augmented quadratic form with states as well as the nonlinear function, the stabilizing sampled-data controller gains are obtained by solving a set of linear matrix inequalities. The effectiveness of the developed method is demonstrated by numerical simulations.