Liu, YiAnderson, Brian D.O.Ly, Uy Loi2026-01-022026-01-020005-1098ORCID:/0000-0002-1493-4774/work/174739698https://hdl.handle.net/1885/733802795This paper introduces a frequency-weighted controller reduction scheme which offers good closed-loop stability under use of the reduced order controller. By combining the use of a stable fractional representation of the controller with a frequency weighting in the reduction procedure derived by consideration of the closed-loop stability margin, we formulate a frequency-weighted controller reduction procedure with the weight simplified by the Bezout identity. Some examples are used to illustrate the reduction procedure.enApproximation theorycontrollerslinear optimal regulatorlinear systemsmodel reductionsystem order reductionCoprime Factorization Controller Reduction with Bezout Identity Induced Frequency Weighting199010.1016/0005-1098(90)90118-20025398447