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Partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear systems | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 7، شماره 2، شهریور 2019، صفحه 199-220 اصل مقاله (360.79 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.11810.1210 | ||
| نویسندگان | ||
| Sakineh Mirassadi* ؛ Hojjat Ahsani Tehrani | ||
| Faculty of Mathematical sciences, Shahrood University of Technology, Shahrood, Iran | ||
| چکیده | ||
| In this article, a method by partial eigenvalue assignment for stabilization of descriptor fractional discrete-time linear system is presented. This system can be converted to standard descriptor system by definition of fractional-order derivative and considering a new state vector. Using forward and propositional state feedback we do not need to have a full rank open-loop matrix in this kind of systems. However, only a part of the open-loop spectrum which are not in stability region need to be reassigned while keeping all the other eigenvalues invariant. Using partial eigenvalue assignment, size of matrices are decreased while the stability is preserved. Finally, two methods of partial eigenvalue assignment are compared. | ||
| کلیدواژه‌ها | ||
| Descriptor fractional discrete-time linear system؛ descriptor systems؛ eigenvalue assignment (EVA)؛ partial eigenvalue assignment (PEVA) | ||
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آمار تعداد مشاهده مقاله: 699 تعداد دریافت فایل اصل مقاله: 689 |
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