1998
DOI: 10.1080/10407799808915067
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Adaptive Robust Weighting Input Estimation Method for the 1-D Inverse Heat Conduction Problem

Abstract: This work presents an adaptive weighting input estimation algoriJhm that efficiently and robustly on-line estimates time-varied thermal unknowns. While providing for the adaptivUy, the KtJlman filter allows us to derive a regression equetion between the bills innovation and the thermal unknown. Based on this regression model, a recursive least-squares estimator weighting by an adaptive forgetting factor is proposed to extract the unknowns that are defined as the inputs. The maximum-likelihood-type estimator (M… Show more

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Cited by 37 publications
(9 citation statements)
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“…For small r, the forgetting efficacy is faster than that for a large r. Nevertheless, the rapid forgetting efficacy reduces the smoothing efficacy. Consequently, the interaction between smoothing and forgetting should be considered when determining forgetting factor r. Based on these problems, Tuan et al (1998) developed the adaptive weighting RIE to solve the problem of deciding the forgetting factor r. The equation of adaptive weighting factor r a is as follows:…”
Section: Recursive Input-estimation Approach (Rie)mentioning
confidence: 99%
See 1 more Smart Citation
“…For small r, the forgetting efficacy is faster than that for a large r. Nevertheless, the rapid forgetting efficacy reduces the smoothing efficacy. Consequently, the interaction between smoothing and forgetting should be considered when determining forgetting factor r. Based on these problems, Tuan et al (1998) developed the adaptive weighting RIE to solve the problem of deciding the forgetting factor r. The equation of adaptive weighting factor r a is as follows:…”
Section: Recursive Input-estimation Approach (Rie)mentioning
confidence: 99%
“…Consequently, the RIE method can be utilized as an on-line algorithm to estimate system input terms for real-time control systems. The RIE method has been successfully employed to solve inverse heat conduction problems (IHCPs) (Tuan and Hou, 1998;Wang et al, 2005), vehicle trajectory estimation (Lee and Lin, 1998), and the input force estimation of beam structures (Ma et al 2003). The advantages of using the RIE method are as follows: (i) Real-time estimate: The RIE method is a proven and simple method and not computationally complex in implementation, and the most significant feature is that the unknown input terms are a real-time estimate followed by measurements taken at the current time.…”
Section: Introductionmentioning
confidence: 99%
“…In this study, the adaptive weighting function is presented. The detailed derivation of this function are given by Tuan 15 , et al…”
Section: Adaptive Weighted Recursive Input Estimation Methodsmentioning
confidence: 99%
“…Tuan 5,6 adopted the input estimation method to inversely solve the 1-D and 2-D heat conduction problems. Ma [7][8][9] and Deng 10 as well used this method to estimate the force input to the structure system.…”
Section: Introductionmentioning
confidence: 99%
“…It has been successfully adopted to solve the inverse heat conduction problems (IHCPs) [22][23][24], the trajectory estimation of vehicles [25], and the input force estimation of the beam structures [26] in recent years. The on-line inverse methodology using the KF technique and the RLSE can effectively estimate the unknown inputs of the physical system.…”
mentioning
confidence: 99%