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Volume 11
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10.3390/app11041717
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Article

Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs

by
Gilberto Gonzalez Avalos
1,*,
Noe Barrera Gallegos
2,
Gerardo Ayala-Jaimes
3 and
Aaron Padilla Garcia
4
1
Graduate Studies Division of the Faculty of Mechanical Engineering, University of Michoacán, Morelia 58000, Mexico
2
Faculty of Mechanical Engineering, University of Michoacán, Morelia 58000, Mexico
3
Faculty of Sciences of Engineering and Technology, Autonomous University of Baja California, Tijuana 22260, Mexico
4
Faculty of Electrical Engineering, University of Michoacán, Morelia 58000, Mexico
*
Author to whom correspondence should be addressed.
Appl. Sci. 2021, 11(4), 1717; https://doi.org/10.3390/app11041717
Submission received: 15 December 2020 / Revised: 19 January 2021 / Accepted: 8 February 2021 / Published: 15 February 2021
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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.
Keywords: bond graph; multibond graph; steady state; multibody systems bond graph; multibond graph; steady state; multibody systems

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MDPI and ACS Style

Gonzalez Avalos, G.; Barrera Gallegos, N.; Ayala-Jaimes, G.; Padilla Garcia, A. Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs. Appl. Sci. 2021, 11, 1717. https://doi.org/10.3390/app11041717

AMA Style

Gonzalez Avalos G, Barrera Gallegos N, Ayala-Jaimes G, Padilla Garcia A. Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs. Applied Sciences. 2021; 11(4):1717. https://doi.org/10.3390/app11041717

Chicago/Turabian Style

Gonzalez Avalos, Gilberto, Noe Barrera Gallegos, Gerardo Ayala-Jaimes, and Aaron Padilla Garcia. 2021. "Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs" Applied Sciences 11, no. 4: 1717. https://doi.org/10.3390/app11041717

APA Style

Gonzalez Avalos, G., Barrera Gallegos, N., Ayala-Jaimes, G., & Padilla Garcia, A. (2021). Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs. Applied Sciences, 11(4), 1717. https://doi.org/10.3390/app11041717

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