Fixed order stabilizing controller design via reflection segments of polynomials

A novel randomized approach to fixed-order con troller design is proposed for discrete-time SISO plants. It is based on the random generation of Schurstable polynomials using reflection coefficients and reflection segments of polynomials. Stable reflection segments are projected onto affine set of closed-loop characteristic polynomials which is defined by the controller parameters and the stable line segments in the controller parameter space are then determined.