Recursive dual-linear-programming approach for parameter-uncertainty-interval estimation

被引:6
|
作者
Sun, XF [1 ]
Zhang, HY [1 ]
Fan, YZ [1 ]
机构
[1] Beijing Univ Aeronaut & Astronaut, Sch Automat Sci & Elect Engn, Beijing 100083, Peoples R China
来源
关键词
D O I
10.1049/ip-cta:20030318
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The parameter-uncertainty-interval-estimation (PIE) problem is transferred into several dual-linear-programming (DLP) problems, and a recursive DLP algorithm is proposed and applied in PIE. This recursive algorithm is based on a modified dual-simplex method that is specifically developed for solving the DLP problems derived from the PIE problem. Because the scale of the DLP problems is considerably smaller than that of the primal linear-programming problems for solving the PIE problem, the recursive DLP algorithm is computationally efficient and suitable for online-engineering applications. Simulations show the effectiveness of the proposed recursive algorithm.
引用
收藏
页码:303 / 310
页数:8
相关论文
共 50 条
  • [1] Evolutionary programming for minimum uncertainty parameter estimation for linear models
    Belforte, G
    Gay, P
    PROCEEDINGS OF THE 1998 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS, VOLS 1 AND 2, 1996, : 1260 - 1264
  • [2] Power system interval linear state estimation considering network parameter uncertainty
    Wei, Zhinong
    Yan, Quanchun
    Sun, Guoqiang
    Ni, Ming
    Dianwang Jishu/Power System Technology, 2015, 39 (10): : 2862 - 2868
  • [3] Bilevel Linear Programming under Interval Uncertainty
    Garajova, Elif
    Rada, Miroslav
    Hladik, Milan
    39TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2021), 2021, : 123 - 128
  • [4] Interval parameter estimation under model uncertainty
    Nazin, SA
    Polyak, BT
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2005, 11 (02) : 225 - 237
  • [5] A linear programming approach to online set membership parameter estimation for linear regression models
    Casini, M.
    Garulli, A.
    Vicino, A.
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2017, 31 (03) : 360 - 378
  • [6] Generalized linear fractional programming under interval uncertainty
    Hladik, Milan
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 205 (01) : 42 - 46
  • [7] Wetland Restoration Planning Approach Based on Interval Fuzzy Linear Programming under Uncertainty
    Zhang, Yang
    Shen, Jing
    INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH, 2021, 18 (18)
  • [8] L∞ parameter identification based on linear programming recursive algorithm
    Key Lab. of Image Processing and Intelligent Control, Huazhong Univ. of Science and Technology, Wuhan 430074, China
    不详
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2007, 29 (08): : 1339 - 1341
  • [9] An interval approach to robust design with parameter uncertainty
    Ouyang, Linhan
    Ma, Yizhong
    Byun, Jai-Hyun
    Wang, Jianjun
    Tu, Yiliu
    INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2016, 54 (11) : 3201 - 3215
  • [10] A RECURSIVE APPROACH TO PRONY PARAMETER-ESTIMATION
    DAVIES, P
    JOURNAL OF SOUND AND VIBRATION, 1983, 89 (04) : 571 - 583