By Topic

Quasy steady state model determination using bond graph for a singularly perturbed LTI system

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

The purchase and pricing options are temporarily unavailable. Please try again later.
2 Author(s)
Gonzalez-A, G. ; Fac. of Electr. Eng., Univ. of Michoacan, San Nicolas de Hidalgo, Mexico ; Barrera-G, N.

A bond graph model in a integral causality assignment (BGI) for a singularly perturbed system is presented. This system is characterized by fast and slow dynamics. When the singular perturbation method is applied, the fast dynamic differential equation degenerate to an algebraic equation, the real roots of this equation by using a proposed bond graph, called Singularly Perturbed Bond Graph (SPBG) can be obtained. This SPBG has the property that the storage elements of the fast state and slow state have a derivative and integral causality assignment, respectively. Hence, a quasi steady state model by using SPBG is obtained. A Lemma to determine the junction structure from SPBG is proposed. Finally, the proposed methodology to a classical example of a DC motor and RC network is applied.

Published in:

Methods and Models in Automation and Robotics (MMAR), 2011 16th International Conference on

Date of Conference:

22-25 Aug. 2011