TY - GEN
T1 - Model Reduction of Linear Hybrid Systems
AU - Gosea, Ion Victor
AU - Petreczky, Mihaly
AU - Leth, John-Josef
AU - Wisniewski, Rafal
AU - C. Antoulas, Athanasios
PY - 2020
Y1 - 2020
N2 - The paper proposes a model reduction algorithm for linear hybrid systems, i.e., hybrid systems with externally induced discrete events, with linear continuous subsystems, and linear reset maps. The model reduction algorithm is based on balanced truncation. Moreover, the paper also proves an analytical error bound for the difference between the input-output behaviors of the original and the reduced-order model. This error bound is formulated in terms of singular values of the Gramians used for model reduction.
AB - The paper proposes a model reduction algorithm for linear hybrid systems, i.e., hybrid systems with externally induced discrete events, with linear continuous subsystems, and linear reset maps. The model reduction algorithm is based on balanced truncation. Moreover, the paper also proves an analytical error bound for the difference between the input-output behaviors of the original and the reduced-order model. This error bound is formulated in terms of singular values of the Gramians used for model reduction.
UR - http://www.scopus.com/inward/record.url?scp=85099884734&partnerID=8YFLogxK
U2 - 10.1109/CDC42340.2020.9303918
DO - 10.1109/CDC42340.2020.9303918
M3 - Article in proceeding
SN - 978-1-7281-7448-8
T3 - I E E E Conference on Decision and Control. Proceedings
SP - 110
EP - 117
BT - 2020 59th IEEE Conference on Decision and Control (CDC)
PB - IEEE
T2 - 2020 59th IEEE Conference on Decision and Control (CDC)
Y2 - 14 December 2020 through 18 December 2020
ER -