Coprime Factorization Controller Reduction with Bezout Identity Induced Frequency Weighting

Abstract

This 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.