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Pole Assignment Of Linear Discrete-Time Periodic Systems In Specified Discs Through State Feedback | ||
AUT Journal of Modeling and Simulation | ||
مقاله 2، دوره 46، شماره 1، شهریور 2014، صفحه 11-17 اصل مقاله (470.19 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22060/miscj.2014.531 | ||
نویسنده | ||
H. A. Tehrani* | ||
Assistant Professor, Department of Mathematics, Shahrood University, Shahrood, Iran | ||
چکیده | ||
The problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. The former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. Nevertheless, now we can obtain the location of eigenvalues in the specified discs, randomly. An illustrative example with random system matrices is presented in order to show the effectiveness of the method. | ||
کلیدواژهها | ||
Pole assignment؛ periodic systems؛ discrete-time systems؛ state feedback matrix؛ eigenvalues؛ closed-loop matrix؛ control theory | ||
عنوان مقاله [English] | ||
Pole Assignment Of Linear Discrete-Time Periodic Systems In Specified Discs Through State Feedback | ||
نویسندگان [English] | ||
H. A. Tehrani | ||
Assistant Professor, Department of Mathematics, Shahrood University, Shahrood, Iran | ||
چکیده [English] | ||
The problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. The former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. Nevertheless, now we can obtain the location of eigenvalues in the specified discs, randomly. An illustrative example with random system matrices is presented in order to show the effectiveness of the method. | ||
کلیدواژهها [English] | ||
Pole assignment, periodic systems, discrete-time systems, state feedback matrix, eigenvalues, closed-loop matrix, control theory | ||
مراجع | ||
[1] F.A. Aliev, C.C. Arcasoy, V.B. Larin, and N.A.Safarova, “Synthesis problem for periodic systems by static output feedback,” Applied and Computational Mathematics. vol 4(2),pp. 102–113, 2005. [2] F.A. Aliev, C.C. Arcasoy, V.B. Larin, and N.A.Safarova, “Synthesis problem for periodic systems by static output feedback,” Applied and Computational Mathematics. vol 4(2),pp. 102–113, 2005. [3] P. Benner, M. Castillo, and E.S Quintana-orti,“Partial stabilization of large-scale discrete-time linear control systems,” Technical Report,University of Bremen, Germany. March 2001. [4] J. H. Chou, “Pole assignment robustness in a specified disk,” Systems & Control Letters, vol 16, pp. 41-44, 1991. | ||
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