Coprime factorization controller reduction with bezout identity induced frequency weighting

Abstmet-This paper introduces a frequency-weighted frequency-weighted balanced reduction method controller reduction scheme which offcrs good closed-loop (Enns, 1984a, b) and the idea of representing a stability under use of the reduced order controller. By combining the use of a stable fractional representation of the controller as a stable coprime factorization (Liu controller with a frequency weighting in the reduction and Anderson, 1986; Anderson and Liu, 1987), procedure derived by consideration of the closed-loop in section 3 we propose a frequency-weighted stability margin, we formulate a frequency-weighted controller reduction procedure with the weight simplihed by controller reduction Illethod which offers many the Bezout identity. Some examples are used to illustrate the attractive features beyond those of the method reduction procedure. reviewed in Section 2. Some examples ric used to illustrate the method in Section 4, and Section