{"title":"A stability analysis of discrete-time interconnected systems with mixed passivity, negative-imaginary and small-gain properties","authors":"M. Rahman, A. Al Mamun, K. Yao","doi":"10.1109/SKIMA.2014.7083553","DOIUrl":null,"url":null,"abstract":"A stability analysis of discrete-time interconnected systems with mixed passivity, negative-imaginary and small-gain properties is briefly presented in this paper. These results are analogous to previously established continuous-time case. Nowadays most of the control design is done in discrete-time. Hence, this paper provides a foundation for discretization of mixed system with passivity, negative-imaginary and small-gain properties. Numerical example and practical plant model example with simulation results substantiate the usefulness of the proposed stability analysis.","PeriodicalId":22294,"journal":{"name":"The 8th International Conference on Software, Knowledge, Information Management and Applications (SKIMA 2014)","volume":"17 1","pages":"1-6"},"PeriodicalIF":0.0000,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 8th International Conference on Software, Knowledge, Information Management and Applications (SKIMA 2014)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SKIMA.2014.7083553","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A stability analysis of discrete-time interconnected systems with mixed passivity, negative-imaginary and small-gain properties is briefly presented in this paper. These results are analogous to previously established continuous-time case. Nowadays most of the control design is done in discrete-time. Hence, this paper provides a foundation for discretization of mixed system with passivity, negative-imaginary and small-gain properties. Numerical example and practical plant model example with simulation results substantiate the usefulness of the proposed stability analysis.
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