Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs release_hlhurliisjff3hief5dihpsjbi

by Gilberto Gonzalez, Noe Barrera Gallegos, Gerardo Ayala Jaimes, Aaron padilla

Published in Applied Sciences by MDPI AG.

2021   Volume 11, p1717

Abstract

The direct determination of the steady state response for linear time invariant (LTI) systems modeled by multibond graphs is presented. Firstly, a multiport junction structure of a multibond graph in an integral causality assignment (MBGI) to get the state space of the system is introduced. By assigning a derivative causality to the multiport storage elements, the multibond graph in a derivative causality (MBGD) is proposed. Based on this MBGD, a theorem to obtain the steady state response is presented. Two case studies to get the steady state of the state variables are applied. Both cases are modeled by multibond graphs, and the symbolic determination of the steady state is obtained. The simulation results using the 20-SIM software are numerically verified.
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