Sang Woo Kim, Woo KimAnderson, Brian D.O.Madievski, Anton G.2026-01-012026-01-010167-6911ORCID:/0000-0002-1493-4774/work/174739564https://hdl.handle.net/1885/733801616An 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.* Corresponding author. * The authors wish to acknowledge the funding of the activities of the Cooperative Research Centre for Robust and Adaptive Systems by the Australian Commonwealth Government under the Cooperative Research Centres Program. 1 This author's work was performed at the address of the other authors.10enBalanced truncationController order reductionFrequency domain error boundFrequency weighting1995-02-1310.1016/0167-6911(94)00033-R0029255267