Exponential sampled‐data fuzzy stabilization of nonlinear systems and its application to basic buck converters

Abstract

This study focuses on the exponential stability and stabilization of nonlinear systems via fuzzy sampled-data control technique. The stability and stabilization conditions are obtained through constructing suitable Lyapunov functional which contains the sampling information and the solvable linear matrix inequalities. Then, the dynamics of the nonlinear buck converter system and Lorenz system with the sampled-data controller is analyzed and designed. Finally, the proposed method is validated with a basic buck converter system model designed to reflect the characteristics of the power metal-oxide-semiconductor field-effect transistors in the numerical section. In addition, the superiority of the sufficient conditions obtained is shown by comparing with the existing methods of the Lorentz system. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

Dissipative-based sampled-data control for T-S fuzzy wind turbine system via fragmented-delayed state looped functional approach

“…Remark 8 It should be noted that the dissipative-based sampled-data control mechanism presented in this study is general and can be implemented in other practical systems, as well as active vehicle suspension systems [22], truck trailer models [35], multi-machine power systems [36], basic buck converters system [37] and so on. The variable speed WTS under investigation is one possible practical system in engineering.…”