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.

中文翻译：

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基于动态线性化的线性化系统对一类非线性系统的逼近

提出了一种用键图方法分析一类非线性系统的替代方法。众所周知，非线性系统的分析和合成并不是一项简单的任务。因此，第一步可以是在操作点上线性化该非线性系统。提出了一种方法，用于获得沿物理域中的轨迹的连续点的线性化。这种类型的线性化确定了一组线性化系统，其近似值足够接近原始非线性动力学，在本文中称为动态线性化。建立了通过引理和过程进行的动态线性化。因此，相对于非线性系统模型，线性键合图模型可以被认为是对称的。拟议的方法应用于案例研究的直流电动机。