{"title":"On tracking control problem for fractional order descriptor systems","authors":"Muhafzan, A. Nazra, A. I. Baqi, Zulakmal","doi":"10.35470/2226-4116-2022-11-2-87-93","DOIUrl":null,"url":null,"abstract":"In this paper, we discuss the tracking control problem for fractional order descriptor systems. The aim of this paper is to find the optimal tracking control-state pair satisfying the dynamic constraint of the form a fractional order descriptor system such that the performance index is minimized. The method of solving is to convert such the tracking control problem for a fractional order descriptor system into the standard fractional order system. Under some particular conditions, we find the explicit formulas of the optimal tracking control-state pair which minimize the performance index.","PeriodicalId":37674,"journal":{"name":"Cybernetics and Physics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cybernetics and Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35470/2226-4116-2022-11-2-87-93","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we discuss the tracking control problem for fractional order descriptor systems. The aim of this paper is to find the optimal tracking control-state pair satisfying the dynamic constraint of the form a fractional order descriptor system such that the performance index is minimized. The method of solving is to convert such the tracking control problem for a fractional order descriptor system into the standard fractional order system. Under some particular conditions, we find the explicit formulas of the optimal tracking control-state pair which minimize the performance index.
期刊介绍：
The scope of the journal includes: -Nonlinear dynamics and control -Complexity and self-organization -Control of oscillations -Control of chaos and bifurcations -Control in thermodynamics -Control of flows and turbulence -Information Physics -Cyber-physical systems -Modeling and identification of physical systems -Quantum information and control -Analysis and control of complex networks -Synchronization of systems and networks -Control of mechanical and micromechanical systems -Dynamics and control of plasma, beams, lasers, nanostructures -Applications of cybernetic methods in chemistry, biology, other natural sciences The papers in cybernetics with physical flavor as well as the papers in physics with cybernetic flavor are welcome. Cybernetics is assumed to include, in addition to control, such areas as estimation, filtering, optimization, identification, information theory, pattern recognition and other related areas.
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