Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published March 2006 | public
Journal Article

A case study in model reduction of linear time-varying systems

Abstract

In this paper, the balanced truncation procedure is applied to time-varying linear systems, both in continuous and in discrete time. The methods are applied to a linear approximation of a diesel exhaust catalyst model. The reduced-order systems are obtained by using certain projections instead of direct balancing. An approximate zero-order-hold discretization of continuous-time systems is described, and a new a priori approximation error bound for balanced truncation in the discrete-time case is obtained. The case study shows that there are several advantages to work in discrete time. It gives simpler implementation with fewer computations.

Additional Information

© 2005 Elsevier Ltd. Received 3 November 2004; revised 22 June 2005; accepted 31 October 2005. Available online 19 January 2006. This paper was presented at the IFAC Workshop on Periodic Control Systems 2004, Yokohama, Japan. This paper was recommended for publication in revised form by Associate Editor Siep Weiland under the direction of Editor Roberto Tempo. The author would like to thank B.Westerberg for the simulation model, and A. Rantzer and B. Bernhardsson for comments on the manuscript. This work was supported by the Swedish Research Council (project 2000-5630) and the Swedish Foundation for Strategic Research (project CPDC).

Additional details

Created:
August 22, 2023
Modified:
October 23, 2023