Symbolic Model Reduction using Interval-Valued Scenarios

In: ASME Design Engineering Technical Conferences & Computers and Information in Engineering Conference : DETC2009, August 30-September 2, 2009, San Diego, California, USA : ASME/IEEE 2009 International Conference on Mechatronic and Embedded Systems and Applications; 20th Reliability, Stress Analysis, and Failure Prevention Conference
New York, NY: American Society of Mechanical Engineers (2009), S. 263-272
ISBN: 978-0-7918-3856-3
Buchaufsatz / Kapitel / Fach: Maschinenbau
Fakultät für Ingenieurwissenschaften » Maschinenbau und Verfahrenstechnik
Abstract:
In many cases, the quantitative relevance of physical effects for a given technical problem is not known a priori. This holds especially for the analysis of the dynamics. Adopted from nonanalog circuit design, in the last years symbolic model reduction techniques found their way towards mechatronic system modeling. Given a scenario (system inputs, initial values, parameters) and an error bound, symbolic model reduction reduces the detailed model to a less complex model, which is guaranteed to stay within predefined error bounds. However, presently symbolic reduction techniques deliver reduced models, which are only verified for a single scenario. For example a reduced vehicle model emerging from the reduction of a complex multibody vehicle model for a cornering maneuver with a small constant steering angle, is not verified to stay inside the error bounds for any other maneuver. In this contribution this drawback is addressed by the use of interval-valued scenarios.

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