A computationally simple method for generating reduced{order models that minimise the L2 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 L2-optimal approximation. Two examples taken from the relevant literature show that the suggested techniques may lead to approximations that are not worse than those aorded by popular more cumbersome techniques.

Routh--type L2 model reduction revisited

U. Viaro
2018-01-01

Abstract

A computationally simple method for generating reduced{order models that minimise the L2 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 L2-optimal approximation. Two examples taken from the relevant literature show that the suggested techniques may lead to approximations that are not worse than those aorded by popular more cumbersome techniques.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1136259
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