# zbMATH — the first resource for mathematics

Routh-type $$L_2$$ model reduction revisited. (English) Zbl 1449.93091
Summary: A computationally simple method for generating reduced-order models that minimise the $$L_2$$ norm of the approximation error while preserving a number of second-order information indices as well as the steady-state value of the step response, is presented. The method exploits the energy-conservation property peculiar to the Routh reduction method and the interpolation property of the $$L_2$$-optimal approximation. Two examples taken from the relevant literature show that the suggested techniques may lead to approximations that are not worse than those afforded by popular more cumbersome techniques.
##### MSC:
 93C05 Linear systems in control theory 93A15 Large-scale systems 93B11 System structure simplification
Full Text: