{"title":"A new method for analytic determination of extremum of the transients in linear systems","authors":"H. Górecki","doi":"10.2478/V10175-010-0116-1","DOIUrl":null,"url":null,"abstract":"The relation between extremal values of the error and the coefficients of its differential equations is one of the central problems of control systems in chemical industry, becouse extremal values of the error sometimes cause serious damages to the environment or to the system itself. Analytical formulae for the determination of these values are known only for the second-order systems. In this paper a method which permits to determine extremal values of the error in higher-order systems is proposed.","PeriodicalId":55209,"journal":{"name":"Control and Cybernetics","volume":"33 1","pages":"275-295"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Control and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/V10175-010-0116-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 3
Abstract
The relation between extremal values of the error and the coefficients of its differential equations is one of the central problems of control systems in chemical industry, becouse extremal values of the error sometimes cause serious damages to the environment or to the system itself. Analytical formulae for the determination of these values are known only for the second-order systems. In this paper a method which permits to determine extremal values of the error in higher-order systems is proposed.
期刊介绍:
The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research:
Systems and control theory:
general systems theory,
optimal cotrol,
optimization theory,
data analysis, learning, artificial intelligence,
modelling & identification,
game theory, multicriteria optimisation, decision and negotiation methods,
soft approaches: stochastic and fuzzy methods,
computer science,