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http://dx.doi.org/10.5370/KIEE.2014.63.2.261

Sampled-data Control for Lur'e Dynamical Systems  

Liu, Yajuan (Dept. of Electronic Engineering, Daugu University)
Lee, Sangmoon (Dept. of Electronic Engineering, Daugu University)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.63, no.2, 2014 , pp. 261-265 More about this Journal
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.
Keywords
Sampled-data; Time-varying delay; Stability; Lyapunov method; LMI;
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