On the Practical Compensator Design of Time-Varying Perturbed Systems in Hilbert Spaces. (27th May 2022)

• Record Type: Journal Article
• Authors: Damak, Hanen
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 6(2022)
• Page Start: 650
• Page End: 666
• Publication Date: 2022-05-27
• Subjects: Compensator design -- infinite-dimensional systems -- Lyapunov methods -- practical observer -- practical stabilization; 93C10 -- 93C25 -- 93B15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2055061
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we treat the problem of practical feedback stabilization for a class of nonlinear infinite-dimensional control systems by means of an observer. A compensator design is given under a restriction of the perturbed term that the perturbations is bounded by the sum of a Holder continuous function and a Lipschitz function where the nominal system is supposed to be exponentially stabilizable by a linear feedback. The results are illustrated with an example.