TY - GEN
T1 - Balanced truncation for time-delay systems via approximate gramians
AU - Wang, Xiang
AU - Wang, Qing
AU - Zhang, Zheng
AU - Chen, Quan
AU - Wong, Ngai
PY - 2011
Y1 - 2011
N2 - In circuit simulation, when a large RLC network is connected with delay elements, such as transmission lines, the resulting system is a time-delay system (TDS). This paper presents a new model order reduction (MOR) scheme for TDSs with state time delays. It is the first time to reduce a TDS using balanced truncation. The Lyapunov-type equations for TDSs are derived, and an analysis of their computational complexity is presented. To reduce the computational cost, we approximate the controllability and observability Gramians in the frequency domain. The reduced-order models (ROMs) are then obtained by balancing and truncating the approximate Gramians. Numerical examples are presented to verify the accuracy and efficiency of the proposed algorithm.
AB - In circuit simulation, when a large RLC network is connected with delay elements, such as transmission lines, the resulting system is a time-delay system (TDS). This paper presents a new model order reduction (MOR) scheme for TDSs with state time delays. It is the first time to reduce a TDS using balanced truncation. The Lyapunov-type equations for TDSs are derived, and an analysis of their computational complexity is presented. To reduce the computational cost, we approximate the controllability and observability Gramians in the frequency domain. The reduced-order models (ROMs) are then obtained by balancing and truncating the approximate Gramians. Numerical examples are presented to verify the accuracy and efficiency of the proposed algorithm.
UR - http://www.scopus.com/inward/record.url?scp=79952925430&partnerID=8YFLogxK
U2 - 10.1109/ASPDAC.2011.5722251
DO - 10.1109/ASPDAC.2011.5722251
M3 - Conference contribution
AN - SCOPUS:79952925430
SN - 9781424475155
T3 - Proceedings of the Asia and South Pacific Design Automation Conference, ASP-DAC
SP - 55
EP - 60
BT - 2011 16th Asia and South Pacific Design Automation Conference, ASP-DAC 2011
T2 - 2011 16th Asia and South Pacific Design Automation Conference, ASP-DAC 2011
Y2 - 25 January 2011 through 28 January 2011
ER -