Kybernetika 57 no. 1, 102-117, 2021

Robust observer-based finite-time $H_{\infty}$ control designs for discrete nonlinear systems with time-varying delay

Yali Dong, Huimin Wang and Mengxiao DengDOI: 10.14736/kyb-2021-1-0102

Abstract:

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.

Keywords:

discrete-time systems, time-varying delay, Lyapunov-Krasovskii functional, observer-based control, $H_{\infty }$ finite-time boundedness

Classification:

93D15, 93D09, 93C10, 93B35, 93B52

paper.pdf

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