Geodesic
Robust observer-based finite-time $H_{\infty }$ control designs for discrete nonlinear systems with time-varying delay
Kybernetika, Tome 57 (2021) no. 1, pp. 102-117.

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This paper investigates the problem of observer-based finite-time $H_{\infty}$ control for the uncertain discrete-time systems with nonlinear perturbations and time-varying delay. The Luenberger observer is designed to measure the system state. The observer-based controller is constructed. By constructing an appropriated Lyapunov-.Krasovskii functional, sufficient conditions are derived to ensure the resulting closed-loop system is $H_{\infty}$ finite-time bounded via observer-based control. The observer-based controller for the finite-time $H_{\infty}$ control problem is developed. Finally, a numerical example illustrates the efficiency of proposed methods.
DOI : 10.14736/kyb-2021-1-0102
Classification : 93B35, 93B52, 93C10, 93D09, 93D15
Keywords: observer-based control; $H_{\infty }$ finite-time boundedness; Lyapunov--Krasovskii functional; discrete-time systems; time-varying delay 
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     title = {Robust observer-based finite-time $H_{\infty }$ control designs for discrete nonlinear systems with time-varying delay},
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Dong, Yali; Wang, Huimin; Deng, Mengxiao. Robust observer-based finite-time $H_{\infty }$ control designs for discrete nonlinear systems with time-varying delay. Kybernetika, Tome 57 (2021) no. 1, pp. 102-117. doi : 10.14736/kyb-2021-1-0102. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-1-0102/

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