Advanced Search
Volume 39 Issue 4
Apr.  2013
Turn off MathJax
Article Contents
Abstract
References
Journal of Beijing University of Aeronautics and Astronautics  > 2013  >  39(4): 469-473.
Xu Zhengyu, Lee Chunhian. Numerical simulation of supersonic MHD channel flows[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(08): 893-898. (in Chinese)
Citation: Ma Xiaobing, Chang Shihua, Chen Yunxiaet al. Method for linearize power function with three parameters of incomplete accelerated degradation data[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(4): 469-473. (in Chinese)
shu

Method for linearize power function with three parameters of incomplete accelerated degradation data

  • School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 21 Mar 2012
  • Publish Date: 30 Apr 2013
    Abstract
  • A method was provided to linearize the power function with three parameters. It was in view of the nonlinear prediction with the incompletely accelerated degradation paths of null bias and scale factor of accelerometer. The method was based on the assumption that the exponential parameter of power function is independent with stresses. Due to the degradation rate was faster at the higher stress than that at the lower, and its degradation amount was close to the failure threshold, while the lower were far away from the failure threshold. Therefore, the degradation trajectory at the maximum stress level can better reflect the law of the degradation models. Accordingly, a principle called the maximum average correlation coefficient at the maximum stress level to determine the exponential parameter was put forward. Through this principle, the power function with three parameters is linearized, which overcomes the poor robustness of the model prediction due to the sensitive initial value and provides an engineering method for the prediction of nonlinear accelerated degradation paths.

     

    • FullText(HTML)
    • References(14)
  • [1]
    包为民,申功勋,李华滨.惯性平台在系统中多位置翻滚自标定方法[J].北京航空航天大学学报,2011,37(4):462-465 Bao Weimin,Shen Gongxun,Li Huabin.Investigation on inertial platform multi-position rolling self-calibration[J].Journal of Beijing University of Aeronautics and Astronautics,2011,37(4):462-465(in Chinese)
    [2]
    谢森,王玉.非线性系统完全线性化方法的研究[J].控制理论与应用,1997,14(1):139-143 Xie Sen,Wang Yu.Complete linearization control method for nonlinear system[J].Control Theory and Applications,1997,14(1):139-143(in Chinese)
    [3]
    Cheng D,Isidori A,Respondek W,et al.Exact linearization of nonlinear systems with outputs[J].Math Systems Theory,1986,21:247-255
    [4]
    史小平,王子才.非线性系统线性化的一种新方法[J].哈尔滨工业大学学报,1998,30(2):68-71 Shi Xiaoping,Wang Zicai.A new method for liearizing monlinear systems[J].Journal of Harbin Institute of Technology,1998,30(2):68-71(in Chinese)
    [5]
    陈静,王轶卿.近似线性化与精确线性化的分析与比较[J].机械与电子,2008(5):20-22 Chen Jing,Wang Yiqing.The analysis and comparison between approximate linearization and precise linearization[J].Mechanical and Electronic,2008(5):20-22(in Chinese)
    [6]
    Marcos A,Balas G J.Development of linear parameter varying models for aircraft .Journal of Guidance,Control,and Dynamics,2004,27(2):218-228
    [7]
    Sinha P K,Pechev A N.Nonlinear H∞ controllers for electromagnetic suspension systems [J].IEEE Trans Automatic Control,2004,49 (4):563-568
    [8]
    Vladimir Balan,Cristina Stefania Stamin.State space exact linearization and stabilization with feedback control in SODE economic models[J].Journal of Applied Mathematics and Computing,2008,28(1):271-281
    [9]
    陶菊春,吴建民.可线性化非线性回归预测模型的剖析与改进[J].数学的实践与认识,2003(2):7-12 Tao Juchun,Wu Jianmin.Analysis and improvement to linearization nonlinear regression model[J].Mathematics in Practice and Theory,2003(2):7-12(in Chinese)
    [10]
    佘焱,吴波.一般非线性系统的精确线性化[J].上海交通大学学报,1999,33(12):1599-1601 She Yan,Wu Bo.Exact linearization for general nonlinear control system[J].Journal of Shanghai Jiaotong University,1999,33(12):1599-1601(in Chinese)
    [11]
    韩志涛,井元伟,段晓东,等.一般非线性系统的相关阶与线性化[J].控制与决策,2006,21(9):1065-1067 Han Zhitao,Jing Yuanwei,Duan Xiaodong,et al.Relative degree and linearization of general nonlinear system[J].Control and Decision,2006,21(9):1065-1067(in Chinese)
    [12]
    孟范伟,何朕,王毅,等.非线性系统的线性化[J].电机与控制学报,2008,12(1):89-92 Meng Fanwei,He Zhen,Wang Yi,et al.Linerization of a nonlinear system[J].Electric Machines and Control,2008,12(1):89-92(in Chinese)
    [13]
    Cheng Daizhan,Li Zhiqiang.A survey on linerization of nonlinear systems[J].Journal of Shandong University:Engineering Science,2009,39(2):26-36
    [14]
    和丽清,孙先仿,邱红专.非线性系统的结构选择及其参数的集员辨识[J].北京航空航天大学学报,2010,36(10):1189-1193 He Liqing,Sun Xianfang,Qiu Hongzhuan.Structure selection and parameter set-membership identification for non linear systems[J].Journal of Beijing University of Aeronautics and Astronautics,2010,36(10):1189-1193(in Chinese)
    • Relative Articles

  • Relative Articles

    [1]WU Shanqiang, CHEN Qi, SUN Yajun, NI Zao, CHEN Wen. Transonic Aeroservoelastic Analysis of Civil Aircraft Based on Over Field-Panel Method[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0729
    [2]CHEN S K，JI J J，JING Y B. A self-expanding identification method for non-cooperative space radiation sources[J]. Journal of Beijing University of Aeronautics and Astronautics，2025，51（2）：644-654 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2023.0024.
    [3]LIU Q，LI Y K. Configurable fault injection detection method for RISC-V based on instruction extension[J]. Journal of Beijing University of Aeronautics and Astronautics，2025，51（1）：43-52 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0995.
    [4]LU K W，WANG X L，WANG B，et al. An online compensation method for random error of optical gyro[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（5）：1614-1619 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0523.
    [5]WEI Kun-yu, LI Chen-di, LI Bo-wen, YUAN Yuan, HE Xiao-fan. Research on Developing Design Gust Load Spectrum for Bomber-Mounted Air-to-Ground Missiles[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0126
    [6]ZHANG Y P，BIAN Q，YANG R Z，et al. Evaluation method of H2O penetration depth of drying reactor based on temperature gradient[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（10）：3123-3130 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0764.
    [7]LI Jun, LI Wenlong, GAO Tenglong, LI Yanan, LIU Jingli. Temperature correction method for load measurement of aircraft composite structures[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0853
    [8]LUO Yanyan, QI Qiaoshen, WANG Yongpeng, WU Xiongwei. Fretting wear test and performance degradation model of electrical connector under step random vibration[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0350
    [9]CHEN J C，YANG X，MA Y X，et al. Model-free adaptive cascade control for temperature system of a hot wind tunnel[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（5）：1713-1720 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0528.
    [10]LI Z X，MA M Y，WU J H，et al. Model correction method for CFD numerical simulation under mixed aleatory and epistemic uncertainty[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（7）：2343-2353 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2022.0624.
    [11]CHENG Hu-hua, WU Shuai, JIANG Zhu-hui, ZHANG Ru-cai. Research on maximum aerodynamic load prediction method during launch vehicle launch[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023-0237
    [12]LI J，WANG L X，LI W H. MEMS gyro scope noise reduction method based on model decomposition multi-scale entropy[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（10）：2835-2840 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0745.
    [13]WANG J M，GUO Y Q，YU H F. Extension method of engine low speed characteristics based on backbone features[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（9）：2351-2360 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0634.
    [14]LIU Qiang, YIN Yu, LI Kai. Research on image preprocessing acceleration method based on RISC-V vector extension[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0208
    [15]ZHANG Yun-jie, ZHOU Jie-xin, ZHANG Feng-zhe, ZHOU Rui, ZOU Ting. Reachability Evaluation Method for Ballistic Missile Based on Extended Boundary Method[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0630
    [16]HAN J K，YUAN T，LIU Z K，et al. Expanding hexagon search method based on honeycomb structure[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（10）：2731-2740 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0718.
    [17]XIN T D，CUI C Y，LIU Y，et al. Non-probabilistic reliability analysis method for propellent tank with crack defect[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（9）：2330-2336 （in Chinese）. doi: 10.13700/j.bh.1001-5965.2021.0651.
    [18]SHAO Xin, JI Li, ZOU Huaiwu, XIE Yangmin. A parameter calibration method for manipulators based on laser displacement measurement[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(11): 2281-2288. doi: 10.13700/j.bh.1001-5965.2021.0093
    [19]WU Lan, WU Yuanming, KONG Fanshi, LI Binquan. Traffic signal timing method based on deep reinforcement learning and extended Kalman filter[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(8): 1353-1363. doi: 10.13700/j.bh.1001-5965.2021.0529
    [20]XIA Fei, XUE Jianghong, HE Zanhang, JIN Fusong. Interfacial crack growth of delaminated composite laminates under hygrothermal environment[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(12): 2460-2472. doi: 10.13700/j.bh.1001-5965.2021.0137
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views(1648) PDF downloads(731) Cited by()
    Proportional views
    Related

    Copyright © Journal of Beijing University of Aeronautics and Astronautics

    Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@buaa.edu.cn

    Supported by: Beijing Renhe Information Technology Co., Ltd.    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return