A simple frequency weighted model reduction using structurally balanced truncation: existence of solutions

摘要

This paper examines weighted model reduction using structurally balanced truncation. For a given weighted (single or double-sided) transfer function, a state space realization with the linear fractional transformation form is obtained. Then we prove that two block diagonal LMI (linear matrix inequality) solutions always exist and it is possible to get a reduced order model with guaranteed stability and a priori error bound. Finally, two examples are used to show the validity of proposed weighted reduction method, and the method is compared with other existing methods. [References: 9]