Sandberg, Henrik (California Institute of Technology), Lanzon, Alexander (The Australian National Univ.), Anderson, Brian D O (Australian National Univ.)

Transfer Function Approximation and Identification Using Magnitude and Phase Criteria

Scheduled for presentation during the Regular Session "Model reduction" (MoP05), Monday, July 24, 2006, 15:20−15:45, Room F

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

In this paper, we show how convex optimization can be used for model reduction and identification of transfer functions. Two different methods are presented. In the first method magnitude functions are matched, and in the second method phase functions are matched. The weighted error bounds have direct interpretation in a Bode diagram. Both methods are suitable to engineers working with Bode diagrams. Furthermore, we see that transfer functions that have similar magnitude or phase functions also have a small relative H-infinity error under some minimum phase assumptions. The error bounds come from bounds associated with the Hilbert transform operator restricted in its application to rational transfer functions. Two examples are included to illustrate the results.