General Framework and BMI Formulae for Simultaneous Design of Structure and Control Systems
Hideyuki Tanaka, Toshiharu Sugie · Transactions of the Society of Instrument and Control Engineers · 1998
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.