A fixed-order D-stability controller design with an output feedback using a modified exterior-point approach

This paper is concerned with a D-stability controller design problem with a static or a reduced-order output feedback controller. This problem is difficult to be solved theoretically, because it consists of some bilinear matrix inequality´s (BMI´s). In this paper, an exterior-point approach to this problem, which produces a controller sequence approaching a feasible region from an infeasible one is proposed. The feature of our approach is to be able to use a non-stabilizing controller as an initial point of the sequence. A numerical example shows the efficiency of our approach.