期刊
SYMMETRY-BASEL
卷 13, 期 5, 页码 -出版社
MDPI
DOI: 10.3390/sym13050854
关键词
bond graph; nonlinear systems; linearization; DC motor
A method for analyzing nonlinear systems using dynamic linearization is proposed in this paper. This method linearizes the nonlinear system at operation points and establishes a procedure for consecutive point linearization to obtain an approximation close to the original nonlinear dynamic system.
An alternative method to analyze a class of nonlinear systems in a bond graph approach is proposed. It is well known that the analysis and synthesis of nonlinear systems is not a simple task. Hence, a first step can be to linearize this nonlinear system on an operation point. A methodology to obtain linearization for consecutive points along a trajectory in the physical domain is proposed. This type of linearization determines a group of linearized systems, which is an approximation close enough to original nonlinear dynamic and in this paper is called dynamic linearization. Dynamic linearization through a lemma and a procedure is established. Therefore, linearized bond graph models can be considered symmetric with respect to nonlinear system models. The proposed methodology is applied to a DC motor as a case study. In order to show the effectiveness of the dynamic linearization, simulation results are shown.
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