次数指定のH_∞制御器設計法-双線形行列不等式からの接近

抄録

In this paper, we deal with fixed-order H_∞ controller design problems, based on bilinear matrix inequalities. BMI problems are nonlinear, non-differentiable and non-convex, and therefore very difficult to obtain global solutions numerically. First, we convert BMI problems into differentiable problems introducing so-called shift-parameters. Next, combining the shift-parameter scheme with quasi-Newton methods, we propose a new computational technique as BMI solvers. Lastly, we demonstrate the effectiveness of our approach by simulations, with applications to the design of fixed-order H_∞ controllers.