A Nonparametric Dual Control Algorithm of Multidimensional Objects with Interval-Valued Observations

被引:1
作者
Arana-Jimenez, Manuel [1 ]
Medvedev, Alexander V. [2 ]
Chzhan, Ekaterina [3 ]
机构
[1] Univ Cadiz, Dept Stat & Operat Res, INDESS, Jerez de la Frontera 11405, Spain
[2] Siberian Fed Univ, Sch Space & Informat Technol, Dept Informat Syst, Krasnoyarsk 660041, Russia
[3] Siberian Fed Univ, Sch Space & Informat Technol, Dept Intelligent Control Syst, Krasnoyarsk 660041, Russia
关键词
dual control; nonparametric uncertainty; interval observations; static system; MODEL-PREDICTIVE CONTROL; STOCHASTIC-SYSTEMS; IDENTIFICATION;
D O I
10.3390/axioms12020193
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We focus on the dual interval control problem of multidimensional objects with delay. We propose a new nonparametric algorithm. In such a case, it is not necessary to determine a parametric structure of the investigated object. Another difficulty lies in the complex nature of the decision-making field as it might not be flexible or convenient for decision-makers to exactly quantify their opinions with crisp numbers. Due to this fact, we introduce the interval-valued observations into the algorithm by means of the single-level constraint interval arithmetic. The results of computational experiments illustrate the effectiveness of the algorithm in the case of using intervals instead of crisp values.
引用
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页数:12
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共 42 条
  • [1] Alefeld G., 1983, INTRO INTERVAL COMPU
  • [2] Modification of the adaptive Nadaraya-Watson kernel method for nonparametric regression (simulation study)
    Ali, Taha Hussein
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2022, 51 (02) : 391 - 403
  • [3] [Anonymous], 1977, Solutions of illposed problems. (No Title)
  • [4] PROBLEMS OF IDENTIFICATION AND CONTROL
    ASTROM, KJ
    WITTENMARK, B
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 34 (01) : 90 - +
  • [5] Benosman Mouhacine, 2018, International Journal of Adaptive Control and Signal Processing, V32, P753, DOI 10.1002/acs.2862
  • [6] Data driven nonparametric identification and model based control of glucose-insulin process in type 1 diabetics
    Bhattacharjee, A.
    Sutradhar, A.
    [J]. JOURNAL OF PROCESS CONTROL, 2016, 41 : 14 - 25
  • [7] Kernel-based identification of non-causal systems with application to inverse model control
    Blanken, Lennart
    Oomen, Tom
    [J]. AUTOMATICA, 2020, 114
  • [8] Iterative motion feedforward tuning: A data-driven approach based on instrumental variable identification
    Boeren, Frank
    Oomen, Tom
    Steinbuch, Maarten
    [J]. CONTROL ENGINEERING PRACTICE, 2015, 37 : 11 - 19
  • [9] Byun H.E., 2019, P FDN PROCESS ANALYT, P5275
  • [10] Discrete-time interval optimal control problem
    Campos, J. R.
    Assuncao, E.
    Silva, G. N.
    Lodwick, W. A.
    Teixeira, M. C. M.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2019, 92 (08) : 1778 - 1784