Robust observer-based finite-time H ∞ control designs for discrete nonlinear systems with time-varying delay

Yali Dong; Huimin Wang; Mengxiao Deng

Kybernetika (2021)

  • Issue: 1, page 102-117
  • ISSN: 0023-5954

Abstract

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This paper investigates the problem of observer-based finite-time H ∞ 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 ∞ finite-time bounded via observer-based control. The observer-based controller for the finite-time H ∞ control problem is developed. Finally, a numerical example illustrates the efficiency of proposed methods.

How to cite

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Dong, Yali, Wang, Huimin, and Deng, Mengxiao. "Robust observer-based finite-time $H_{\infty }$ control designs for discrete nonlinear systems with time-varying delay." Kybernetika (2021): 102-117. <http://eudml.org/doc/297630>.

@article{Dong2021,
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.},
author = {Dong, Yali, Wang, Huimin, Deng, Mengxiao},
journal = {Kybernetika},
keywords = {observer-based control; $H_\{\infty \}$ finite-time boundedness; Lyapunov–Krasovskii functional; discrete-time systems; time-varying delay},
language = {eng},
number = {1},
pages = {102-117},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust observer-based finite-time $H_\{\infty \}$ control designs for discrete nonlinear systems with time-varying delay},
url = {http://eudml.org/doc/297630},
year = {2021},
}

TY - JOUR
AU - Dong, Yali
AU - Wang, Huimin
AU - Deng, Mengxiao
TI - Robust observer-based finite-time $H_{\infty }$ control designs for discrete nonlinear systems with time-varying delay
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
IS - 1
SP - 102
EP - 117
AB - 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.
LA - eng
KW - observer-based control; $H_{\infty }$ finite-time boundedness; Lyapunov–Krasovskii functional; discrete-time systems; time-varying delay
UR - http://eudml.org/doc/297630
ER -

References

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