Global output feedback control for a class of high-order switched nonlinear systems with time-varying delays

Yan Jiang and Junyong Zhai

International Journal of Systems Science, 2020, vol. 51, issue 6, 1053-1065

Abstract: This paper focuses on the output feedback stabilisation problem for a class of high-order switched nonlinear systems with time-varying delays. The powers and the nonlinear terms are dependent on the switching signal. Firstly, a homogeneous output-feedback controller is designed for the nominal switched system by virtue of adding a power integrator technique. Then, with the help of the homogeneous domination approach, homogeneous output feedback controllers are designed with series scaling gains. By successfully constructing an appropriate Lyapunov–Krasovskii functional for the stability analysis, it is shown that the resulted closed-loop system is globally asymptotically stable. In addition, the proposed control scheme can be extended to a class of high-order switched upper-triangular nonlinear systems with time-varying delays. Two examples are given to illustrate the effectiveness of the proposed method.

Date: 2020
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DOI: 10.1080/00207721.2020.1748745

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