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題名 | 適應性輸入估算法則於線上逆向熱傳問題之研究=The Study of Adaptive Input Estimation Algorithm in On-Line Inverse Heat Conduction Problems |
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作者 | 段伴虬; 侯文田; | 書刊名 | 中正嶺學報 |
卷期 | 26:2 1998.01[民87.01] |
頁次 | 頁117-132 |
分類號 | 335.21 |
關鍵詞 | 逆向熱傳導; 一般化適應性M估測式; 卡爾曼濾波技術; 輸入估算法; 線上; Inverse heat conduction; Generalized adaptive M estimator; Kalman filtering; Input estimation; On-line; |
語文 | 中文(Chinese) |
中文摘要 | 本文係以卡爾曼濾波(Kalman filter)技術觀念為基礎結合一具有可變遺忘因子 為權重函數的遞迴式最小平方差法,或稱一般化適應性M估測式 (GAME) 所發展的適應性輸 入估算法則,用來求解線上逆向熱傳導問題。一般化適應性M估測式係由一般化密度函數結 合最大相似估測器 (maximum likelihood estimator) 觀念所導出,可隨卡爾曼濾波器之剩 餘值更新序列調整其性能指標,改變其密度函數以獲得估測之適應性 (adaptivity)。 此外 ,適應性輸入估算法則所使用的調和常數,可由數個典型時變熱通量輸入的設計來先行識別 以獲致強韌特性。經模擬分析與驗證結果,本方法展現了優異的估算性能,而且易於線上逆 向熱傳導即時估測未知熱通量的硬體實現。 |
英文摘要 | The adaptive input estimation approach which is based on the Kalman filter technique combining with a variable forgetting factor as a weighting function in Recursive Least Square (RLS) method, defined as the generalized adaptive M estimator (GAME), for solving the Inverse Heat Conduction Problem (IHCP) is presented. The input is the time varied unknown function in the problem such as heat flux, source or system parameters. The primary derivation of GAME is using the generalization probability density function associated with the concept of Maximum Likelihood Estimator, and the adaptivity estimation of the approach is thus obtained by adjusting probability density function according to the value of residual innovation sequence from the Kalman filter. In addition, the tuning constant in GAME is a key factor which dominates the estimation robustness, and it can be best identified by several typical types of time varying heat flux inputs simulation. The superior results are verified through one dimensional simulation cases in this paper. Thus, the on-line real time IHCP hardware loop implementation is easily realized by this adaptive and robust input estimation technique. |
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