TY - GEN
T1 - Identification of State-Space Models with Banded Toeplitz System Matrices
AU - Yu, Chengpu
AU - Xia, Yinqiu
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/12/14
Y1 - 2020/12/14
N2 - The identification of structured state-space models with multi-diagonal block Teoplitz system matrices is studied in this paper. Due to the non-convex nature of the identification problem, it is difficult to obtain a global optimal solution. To deal with this problem, the concerned state-space model is recasted as an equivalent one with block circulant system matrices and a low-dimension unknown input related term. Then, the identification problem is formulated as a low rank regularized optimization problem which is solved by the sequentially convex programming method. The effectiveness of the proposed identification method is finally verified through numerical simulations.
AB - The identification of structured state-space models with multi-diagonal block Teoplitz system matrices is studied in this paper. Due to the non-convex nature of the identification problem, it is difficult to obtain a global optimal solution. To deal with this problem, the concerned state-space model is recasted as an equivalent one with block circulant system matrices and a low-dimension unknown input related term. Then, the identification problem is formulated as a low rank regularized optimization problem which is solved by the sequentially convex programming method. The effectiveness of the proposed identification method is finally verified through numerical simulations.
UR - http://www.scopus.com/inward/record.url?scp=85099880975&partnerID=8YFLogxK
U2 - 10.1109/CDC42340.2020.9304477
DO - 10.1109/CDC42340.2020.9304477
M3 - Conference contribution
AN - SCOPUS:85099880975
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1146
EP - 1151
BT - 2020 59th IEEE Conference on Decision and Control, CDC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 59th IEEE Conference on Decision and Control, CDC 2020
Y2 - 14 December 2020 through 18 December 2020
ER -