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Partial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback | ||
| AUT Journal of Modeling and Simulation | ||
| مقاله 4، دوره 48، شماره 2، بهمن 2016، صفحه 65-74 اصل مقاله (1.42 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/miscj.2016.828 | ||
| نویسندگان | ||
| Sakineh Mirassadi* 1؛ Hojat Ahsani Tehrani2 | ||
| 1Ph.D. Student, Department of Mathematics, Shahrood University of Technology | ||
| 2Associate Professor, Department of Mathematics, Shahrood University of Technology | ||
| چکیده | ||
| A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear systems are reassigned, while leaving the rest of the spectrum invariant and for reassigning, similarity transformation is used. Using partial eigenvalue assignment is easier than using eigenvalue assignment. Because by partial eigenvalue assignment, size of matrices and state and input vectors are decreased and stability is kept, too. Also concluding remarks and an algorithm are proposed to the descriptions will be obvious. At the end, convergence of state and input vectors in the descriptor system to balance point (zero) are showed by figures in a numerical example. | ||
| کلیدواژه‌ها | ||
| Descriptor Discrete-Time System؛ Derivative State Feedback؛ Partial Eigenvalue Assignment؛ Converge to Balance Point | ||
| عنوان مقاله [English] | ||
| Partial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback | ||
| نویسندگان [English] | ||
| Sakineh Mirassadi1؛ Hojat Ahsani Tehrani2 | ||
| 1Ph.D. Student, Department of Mathematics, Shahrood University of Technology | ||
| 2Associate Professor, Department of Mathematics, Shahrood University of Technology | ||
| چکیده [English] | ||
| A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear systems are reassigned, while leaving the rest of the spectrum invariant and for reassigning, similarity transformation is used. Using partial eigenvalue assignment is easier than using eigenvalue assignment. Because by partial eigenvalue assignment, size of matrices and state and input vectors are decreased and stability is kept, too. Also concluding remarks and an algorithm are proposed to the descriptions will be obvious. At the end, convergence of state and input vectors in the descriptor system to balance point (zero) are showed by figures in a numerical example. | ||
| کلیدواژه‌ها [English] | ||
| Descriptor Discrete-Time System, Derivative State Feedback, Partial Eigenvalue Assignment, Converge to Balance Point | ||
| مراجع | ||
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