{"title":"Delay Dependent Robust H_∞ Filter design for Discrete Time-delay Systems with Missing Measurements via Homogeneous Polynomial Matrices","authors":"A. Zabari, E. Tissir, S. Kririm","doi":"10.5875/AUSMT.V6I3.1112","DOIUrl":null,"url":null,"abstract":"This paper presents new delay-dependent robust linear matrix inequality (LMI) conditions for a robust H_∞ filter for discrete time systems affected by time-varying state delays and missing measurements. Our attention is focused on the analysis and design of robust H_∞ filters. LMI relaxations based on homogeneous polynomial matrices of an arbitrary degree are used to determine the state-space realization of the filter. The missing measurements are described by a binary switching sequence satisfying a Bernoulli distribution. Numerical examples are presented to illustrate the effectiveness and applicability of the proposed method.","PeriodicalId":38109,"journal":{"name":"International Journal of Automation and Smart Technology","volume":"6 1","pages":"163-175"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Automation and Smart Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5875/AUSMT.V6I3.1112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 5
Abstract
This paper presents new delay-dependent robust linear matrix inequality (LMI) conditions for a robust H_∞ filter for discrete time systems affected by time-varying state delays and missing measurements. Our attention is focused on the analysis and design of robust H_∞ filters. LMI relaxations based on homogeneous polynomial matrices of an arbitrary degree are used to determine the state-space realization of the filter. The missing measurements are described by a binary switching sequence satisfying a Bernoulli distribution. Numerical examples are presented to illustrate the effectiveness and applicability of the proposed method.
期刊介绍：
International Journal of Automation and Smart Technology (AUSMT) is a peer-reviewed, open-access journal devoted to publishing research papers in the fields of automation and smart technology. Currently, the journal is abstracted in Scopus, INSPEC and DOAJ (Directory of Open Access Journals). The research areas of the journal include but are not limited to the fields of mechatronics, automation, ambient Intelligence, sensor networks, human-computer interfaces, and robotics. These technologies should be developed with the major purpose to increase the quality of life as well as to work towards environmental, economic and social sustainability for future generations. AUSMT endeavors to provide a worldwide forum for the dynamic exchange of ideas and findings from research of different disciplines from around the world. Also, AUSMT actively seeks to encourage interaction and cooperation between academia and industry along the fields of automation and smart technology. For the aforementioned purposes, AUSMT maps out 5 areas of interests. Each of them represents a pillar for better future life: - Intelligent Automation Technology. - Ambient Intelligence, Context Awareness, and Sensor Networks. - Human-Computer Interface. - Optomechatronic Modules and Systems. - Robotics, Intelligent Devices and Systems.
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