The wood industries focus their efforts on improving the productivity and efficiency of their operations to increase their competitiveness. There is a notable interest in the model development to assist autonomous control systems within the operations of the wood industry. For this, it is very important to know the behavior of the different outputs in the production process, such as the power consumption during cutting, since it provides vital information on the state of the wear of the cutting tools even when they are in operation. This allows knowing when to change the cutting tool in advance to avoid any negative effects on the products. In this article, a non-linear fit composed of a modeled function with quasi-logarithmic behavior and an exponential part of the power consumption based on a cutting length in circular saws in high density fiberboard (HDF) is presented. The working limit of the cutting tools was determined by means of differential equations identifying the inflection point in the function. The theoretical model was experimentally corroborated in a multi-objective way by relating the results of power consumption, the surface and the dimensional quality of the boards, the cutting length and the calculated inflection point. It can be affirmed that the developed non-linear model presents a good approximation towards the final part of the function (region of practical interest), the moment when it is necessary to change the cutting tools. By applying the suggested methodology, it is possible to avoid all the described negative consequences of an uncontrolled machining process in an adaptive way to the natural variability of a real industrial production.

木材工业致力于提高生产率和运营效率以提高竞争力。在辅助木材工业运营中的自主控制系统的模型开发中，人们特别感兴趣。为此，了解生产过程中不同输出的行为（例如切削过程中的功耗）非常重要，因为即使在切削工具运行时，它也能提供有关切削工具磨损状态的重要信息。这样可以提前知道何时更换切削工具，以避免对产品产生任何负面影响。在这篇文章中，提出了一种非线性拟合，该拟合由具有拟对数行为的建模函数和基于高密度纤维板（HDF）圆锯中切割长度的功耗的指数部分组成。切削工具的工作极限是通过识别该函数拐点的微分方程确定的。通过将功耗，板的表面和尺寸质量，切割长度和计算出的拐点进行关联，可以多目标地对理论模型进行实验验证。可以肯定的是，所开发的非线性模型可以很好地逼近功能的最后部分（具有实际意义的区域），即有必要更换切削刀具的那一刻。通过采用建议的方法，