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

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 app...

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Bibliographic Details
Published in:International journal of systems science Vol. 50; no. 1; pp. 35 - 49
Main Authors: El Aiss, Hicham, Zoulagh, Taha, Hmamed, Abdelaziz, El Hajjaji, Ahmed
Format: Journal Article
Language:English
Published: London Taylor & Francis 02.01.2019
Taylor & Francis Ltd
Subjects:
Approximation
Automatic
Delay-dependent criteria
Design engineering
Electric power
Engineering Sciences
Error analysis
filter
Filter design (mathematics)
Filtration
Linear matrix inequalities
linear matrix inequality (LMI)
Linearization
Mathematical analysis
Matrix methods
polytopic uncertainties
Reduced order filters
Time delay systems
time-varying delay
ISSN:0020-7721, 1464-5319
Online Access:Get full text
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Summary: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.
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ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2018.1543474