Abstract
This paper investigates finite-time stability and observer-based finite-time control for nonlinear uncertain switched discrete-time system. Firstly, sufficient conditions are given to ensure that a class of switched nonlinear uncertain discrete-time system is finite-time stable under arbitrary switching. The observer-based controller is constructed. By constructing the switched Lyapunov function, sufficient conditions are derived to ensure the resulting closed-loop system is finite-time stable via observer-based control. The observer-based controller is designed to guarantee a switched nonlinear discrete-time system is finite-time stabilized. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.
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This work was supported by the National Nature Science Foundation of China under Grant No. 61873186.
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Dong, Y., Tang, X. Finite-time stability and observer-based control for nonlinear uncertain discrete-time switched system. Comp. Appl. Math. 42, 168 (2023). https://doi.org/10.1007/s40314-023-02295-w
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DOI: https://doi.org/10.1007/s40314-023-02295-w