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