General framework and BMI formulae for simultaneous design of structure and control systems

This paper is concerned with the simultaneous design of plant structure parameters (passive components) and controllers (active components) in order to achieve the optimal system performance. First, a fairly general framework for the simultaneous design problem is proposed based on linear fractional transformation. Next, it is shown that the problem can be reduced to a bilinear matrix inequality (BMI) problem, using an appropriate descriptor form representation. To solve the BMI problems, we propose a computation procedure which is suitable for the simultaneous design, and evaluate its effectiveness via numerical example