Steady State Response of Linear Time Invariant Systems Modeledby Multibond Graphs
Source abstract
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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Research context
OpenAlex topics: Control and Stability of Dynamical Systems · Real-time simulation and control systems · Numerical methods for differential equations
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Affiliations
Graduate Studies Division of the Faculty of Mechanical Engineering, University of Michoacán, Morelia 58000, Mexico
Faculty of Mechanical Engineering, University of Michoacán, Morelia 58000, Mexico
Faculty of Sciences of Engineering and Technology, Autonomous University of Baja California, Tijuana 22260, Mexico
Faculty of Electrical Engineering, University of Michoacán, Morelia 58000, Mexico
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