An input-output approach to H reduced filter design for polytopic time-varying delay systems

El Aiss, Hicham; Zoulagh, Taha; Hmamed, Abdelaziz; El Hajjaji, Ahmed

Abstract

This paper discusses the problem of delay-dependent robust filtering design for polytopic systems with a time-varying delay. A new model transformation is firstly applied by employing a three-term approximation for the delayed state, which leads to a smaller approximation error than the two-term approximation. Then, based on the scaled small-gain Theorem combined with an appropriate Lyapunov-Krasovskii Functional, the performance analysis of the filtering error system is examined and then the full- and reduced-order filters are designed in terms of linear matrix inequalities via a simple linearisation technique. Before the end, a sufficient condition is presented to solve the problem of filtering design for a time-delay system without polytopic uncertainties. Finally, illustrative examples are presented to demonstrate the validity of the proposed methods.

Más información

Título según WOS: ID WOS:000457606600004 Not found in local WOS DB
Título de la Revista: INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volumen: 50
Número: 1
Editorial: TAYLOR & FRANCIS LTD
Fecha de publicación: 2019
Página de inicio: 35
Página final: 49
DOI:

10.1080/00207721.2018.1543474

Notas: ISI