構造系と制御系の同時設計問題の一般的枠組みとBMIに基づく解法

抄録

This paper is concerned with simultaneous design of structure parameters (passive components) and controller (active components) in order to achieve optimal system performance. First, a fairly general framework for the simultaneous design problem is proposed based on LFT (Linear Fractional Transformation). Second, it is shown that the problem can be reduced to BMI (Bilinear Matrix Inequality) problem, using appropriate descriptor form representation. Furthermore, we give a computation method to solve BMI problems which is suitable for the simultaneous design problem, and evaluate its effectiveness via numerical example.