On the stabilizability of imperfectly known nonlinear delay systems of the neutral type

Author

Clarkson, I.D. ; Goodall, D.P.

Author_Institution

Winfrith Technol. Centre, Defence Evaluation Res. Agency, Dorchester, UK

Volume

45

Issue

12

fYear

2000

fDate

12/1/2000 12:00:00 AM

Firstpage

2326

Lastpage

2331

Abstract

This investigation addresses the problem of stabilizing a class of imperfectly known nonlinear neutral-type time-delay systems. Invoking delay independent stability criteria and a deterministic methodology based on Lyapunov-Krasovskii functionals, a class of stabilizing controls is designed to ensure global uniform asymptotic stability of the zero state for the prescribed class of systems. An application of the results to a specific sub-class is provided with a simulation example included to illustrate the practical applicability

Keywords

Lyapunov methods; control system synthesis; delay systems; nonlinear control systems; stability criteria; Lyapunov-Krasovskii functionals; delay independent stability criteria; deterministic methodology; global uniform asymptotic stability; imperfectly known nonlinear delay systems; neutral time-delay systems; stabilizability; zero state; Asymptotic stability; Control systems; Delay systems; Mathematical model; Reflection; Robust control; Stability analysis; Stability criteria; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.895567

Filename

895567