TY - JOUR
T1 - Error bound for transfer function order reduction using freqeuncy weighted balanced truncation
AU - Sang Woo Kim, Woo Kim
AU - Anderson, Brian D.O.
AU - Madievski, Anton G.
PY - 1995/2/13
Y1 - 1995/2/13
N2 - An error bound for transfer function order reduction is derived, when frequency weighted balanced truncation is the order reduction method. The bound is valid for both one-sided (input or output) and two-sided weighted balancing approximations with stable weights, which can otherwise be arbitrary. The error bound formula is valid for both discrete-time and continuous-time problems. Examples are studied to demonstrate effectiveness of the error bound.
AB - An error bound for transfer function order reduction is derived, when frequency weighted balanced truncation is the order reduction method. The bound is valid for both one-sided (input or output) and two-sided weighted balancing approximations with stable weights, which can otherwise be arbitrary. The error bound formula is valid for both discrete-time and continuous-time problems. Examples are studied to demonstrate effectiveness of the error bound.
KW - Balanced truncation
KW - Controller order reduction
KW - Frequency domain error bound
KW - Frequency weighting
UR - http://www.scopus.com/inward/record.url?scp=0029255267&partnerID=8YFLogxK
U2 - 10.1016/0167-6911(94)00033-R
DO - 10.1016/0167-6911(94)00033-R
M3 - Article
AN - SCOPUS:0029255267
SN - 0167-6911
VL - 24
SP - 183
EP - 192
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 3
ER -