Ellipsoidal unfalsified control: Stability

被引:3
|
作者
van Helvoort, Jeroen [1 ]
de Jager, Bram [1 ]
Steinbuch, Maarten [1 ]
机构
[1] Tech Univ Eindhoven, Dept Mech Engn, Control Syst Technol Grp, POB 513, NL-5600 MB Eindhoven, Netherlands
关键词
D O I
10.1109/ACC.2006.1657360
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Unfalsified Control is a direct data-driven, plant-model-free controller design method, which recursively falsifies controllers that fail to meet the required performance specification, making them ineligible to actually control the plant. In this paper it is shown that sufficient conditions for stability can be derived for Unfalsified Control with an ellipsoidal Unfalsified set, Ellipsoidal Unfalsified Control (EUC), under the mild assumption that there exists at least some region in the original candidate controller pool, which contains controllers that meet the performance specifications. One of these conditions is a finite number of controller switches, which is guaranteed by imposing a maximum volume ratio between two consecutive ellipsoidal Unfalsified sets.
引用
收藏
页码:4094 / 4099
页数:6
相关论文
共 50 条
  • [1] Sufficient conditions for data-driven stability of ellipsoidal unfalsified control
    van Helvoort, Jeroen
    de Jager, Bram
    Steinbuch, Maarten
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 453 - 458
  • [2] Data-driven multivariable controller design using Ellipsoidal Unfalsified Control
    Van Helvoort, Jeroen
    De Jager, Bram
    Steinbuch, Maarten
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 2998 - 3003
  • [3] Data-driven multivariable controller design using Ellipsoidal Unfalsified Control
    van Helvoort, Jeroen
    de Jager, Bram
    Steinbuch, Maarten
    SYSTEMS & CONTROL LETTERS, 2008, 57 (09) : 759 - 762
  • [4] Stability of unfalsified adaptive control using multiple controllers
    Wang, R
    Safonov, MG
    ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, : 3162 - 3167
  • [5] Stability of Unfalsified Adaptive Switching Control in Noisy Environments
    Battistelli, Giorgio
    Mosca, Edoardo
    Safonov, Michael G.
    Tesi, Pietro
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) : 2424 - 2429
  • [6] Unfalsified nonlinear adaptive control
    Kosut, RL
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 1243 - 1247
  • [7] The unfalsified control concept and learning
    Safonov, MG
    Tsao, TC
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (06) : 843 - 847
  • [8] Unfalsified control based on the controller parameterisation
    Sanchez-Pena, R. S.
    Colmegna, P.
    Bianchi, F.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (15) : 2820 - 2831
  • [9] Multi-model unfalsified adaptive switching control: Test functionals for stability and performance
    Baldi, S.
    Battistelli, G.
    Mosca, E.
    Tesi, P.
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2011, 25 (07) : 593 - 612
  • [10] Unfalsified adaptive control of bilinear systems
    Kosut, RL
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 2707 - 2708