A mixed H∞/ D-stability controller design using an exterior-point approach

This paper is concerned with the mixed H_∞/D-stability synthesis. In general, multi-objective synthesis problems are difficult to be solved theoretically. This is because the multi-objective synthesis problems are not convex programming problems. In this paper, we propose an exterior-point method for obtaining a sub-optimal solution of the mixed H_∞/ D-stability synthesis problem. The key idea of our algorithm is to construct a controller sequence which updates the location of poles of the closed-loop system from the infeasible region to the feasible one. The effectiveness of our algorithm is shown by numerical examples.