Model reduction for Metzlerian systems

The problem of model reduction for the special class of continuous-time Metzlerian system is considered in this paper. The model reduction is performed under structural maintainability and stability preserving constraints. It is shown that model reduction based on aggregation method enables to maintain the structure of the original Metzlerian system while preserving its stability. Furthermore, we employ the frequency weighted balancing to Metzlerian systems and show that the reduced order models obtained by either truncation or singular perturbation approximation are guaranteed to be stable for the general case of double-sided weighting.