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Spectral approach to H∞-optimal SISO synthesis problem. / Veremey, E.; Sotnikova, M.
в: WSEAS Transaction on Systems and Control, 2014, стр. 405-414.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Spectral approach to H∞-optimal SISO synthesis problem
AU - Veremey, E.
AU - Sotnikova, M.
PY - 2014
Y1 - 2014
N2 - This paper is devoted to a particular case of H∞-optimization problem for LTI systems with scalar control, external disturbance and measurement noise. This problem can be numerically solved with the help of the well-known universal approaches based on Riccati equations, LMI or maximum entropy technique. Nevertheless, in our opinion there exists a possibility to implement a special form of spectral approach, using polynomial factorization for the mentioned particular situation. The correspondent technique is proposed with the aim to increase a computational efficiency of the synthesis and to present an optimal solution in a specific form, which is convenient for investigation. Some theoretical details are discussed and numerical algorithms are developed for practical implementation. Theirs applicability and effectiveness are illustrated by the examples of H∞-optimal synthesis.
AB - This paper is devoted to a particular case of H∞-optimization problem for LTI systems with scalar control, external disturbance and measurement noise. This problem can be numerically solved with the help of the well-known universal approaches based on Riccati equations, LMI or maximum entropy technique. Nevertheless, in our opinion there exists a possibility to implement a special form of spectral approach, using polynomial factorization for the mentioned particular situation. The correspondent technique is proposed with the aim to increase a computational efficiency of the synthesis and to present an optimal solution in a specific form, which is convenient for investigation. Some theoretical details are discussed and numerical algorithms are developed for practical implementation. Theirs applicability and effectiveness are illustrated by the examples of H∞-optimal synthesis.
M3 - Article
SP - 405
EP - 414
JO - WSEAS Transaction on Systems and Control
JF - WSEAS Transaction on Systems and Control
SN - 1991-8763
ER -
ID: 7061065