Practical fixed-time ISS of neutral time-delay systems with application to stabilization by using delays

Artem N. Nekhoroshikh*, Denis Efimov, Emilia Fridman, Wilfrid Perruquetti, Igor B. Furtat, Andrey Polyakov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The concept of practical fixed-time input-to-state stability for neutral time-delay systems with exogenous perturbations is introduced. Lyapunov–Krasovskii theorems are formulated in explicit and implicit ways. Further, the problem of static nonlinear output-feedback stabilization of a linear system with parametric uncertainties, external bounded state and output disturbances by using artificial delays is considered. The constructive control design consists in solving linear matrix inequalities with only four tuning parameters to be chosen. It is shown both, theoretically and numerically, that the system governed by the proposed controller converges faster to the given invariant set than in the case of using its linear counterpart.

Original languageEnglish
Article number110455
JournalAutomatica
Volume143
DOIs
StatePublished - Sep 2022

Funding

FundersFunder number
EGISU NIOKTR
Ministry of Education and Science of the Russian Federation121112500298-6, 075-15-2021-573

    Keywords

    • Delay-induced output feedback
    • Implicit Lyapunov–Krasovskii functional
    • Linear matrix inequalities
    • Neutral time-delay systems
    • Nonlinear control
    • Practical input-to-state stability

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