Practical fixed-time ISS of neutral time-delay systems with application to stabilization by using delays. (September 2022)

• Record Type: Journal Article
• Authors: Nekhoroshikh, Artem N.; Efimov, Denis; Fridman, Emilia; Perruquetti, Wilfrid; Furtat, Igor B.; Polyakov, Andrey
• Is Part Of: Automatica. Volume 143(2022)
• Publication Date: 2022-09
• Subjects: Neutral time-delay systems -- Implicit Lyapunov–Krasovskii functional -- Nonlinear control -- Delay-induced output feedback -- Practical input-to-state stability -- Linear matrix inequalities; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2022.110455
• Languages: English
• ISSNs: 0005-1098

Abstract

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.