Abstract In this article, a novel sequential method for estimation of heat flux in inverse heat conduction problems is proposed. This technique is based on the feedback control system theory in which adaptive fuzzy sliding mode controller (AFSMC) is utilized. The objective is to estimate the input heat flux associated with a flat plate according to the time history of measured output temperature. In this closed-loop control system, at each time instant, the AFSMC calculates the proper heat flux value to track the measured temperature with the desired input temperature. Some experiments are designed to investigate the ability and accuracy of proposed method in estimating the heat flux of a one-dimensional flat plate. The effects of noise in data and sensor location on the exactness of proposed method are also assessed. Moreover, the distribution of heat flux is considered to be in three forms: constant, step and triangular. The influential parameters of suggested method are tuned once and then used in all subsequent numerical tests. This method does not rely on scanning the entire time history of measured temperatures, and successfully operates in an online manner for a wide range of heat flux distribution functions and their associated abrupt changes.

中文翻译：

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使用反馈控制系统通过顺序方法估计一维热通量：AFSMC 方法

摘要 在本文中，提出了一种用于估计逆热传导问题中热通量的新序列方法。该技术基于反馈控制系统理论，其中利用了自适应模糊滑模控制器 (AFSMC)。目标是根据测得的输出温度的时间历程来估计与平板相关的输入热通量。在这个闭环控制系统中，在每个时刻，AFSMC 都会计算适当的热通量值，以根据所需的输入温度跟踪测量温度。一些实验旨在研究所提出的方法在估计一维平板热通量方面的能力和准确性。还评估了数据中的噪声和传感器位置对所提出方法的准确性的影响。而且，热通量的分布被认为是三种形式：常数、阶梯和三角形。建议方法的影响参数调整一次，然后用于所有后续数值测试。该方法不依赖于扫描测量温度的整个时间历史，并且成功地以在线方式运行，适用于广泛的热通量分布函数及其相关的突然变化。