A DISCRETE-TIME LEARNING CONTROL ALGORITHM FOR A CLASS OF LINEAR TIME-INVARIANT SYSTEMS

被引:107
|
作者
SAAB, SS
机构
[1] Union Switch and Signal, Pittsburgh
关键词
D O I
10.1109/9.388702
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A discretized version of the D-type learning control algorithm is presented for a MIMO linear discrete-time system, A necessary and sufficient condition for uniform convergence of the proposed learning algorithm is presented. Then, we prove that the same condition is sufficient for the global robustness of the proposed learning algorithm to state disturbances, measurement noise at the output, and reinitialization error are present at each iteration, A numerical example is given to illustrate the results.
引用
收藏
页码:1138 / 1142
页数:5
相关论文
共 50 条
  • [41] Repetitive control for a class of linear discrete-time switched systems
    Shao, Zhen
    Huang, Shei
    Xiang, Zhengrong
    [J]. 2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 2186 - 2190
  • [42] Preview control for a class of linear discrete-time periodic systems
    Li, Li
    Lu, Yanrong
    Gu, Lisi
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (03) : 823 - 833
  • [43] A consistent time-domain and frequency-domain representation for discrete-time linear time-invariant feedback systems
    Leithead, WE
    O'Reilly, J
    [J]. PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 429 - 434
  • [44] Ellipsoid Bounds on State Trajectories for Discrete-time Systems with Time-invariant and Time-varying Linear Fractional Uncertainties
    Kishida, Masako
    Braatz, Richard D.
    [J]. 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 5671 - 5676
  • [45] A discrete-time iterative learning algorithm for linear time-varying systems
    Tan, KK
    Huang, SN
    Lee, TH
    Lim, SY
    [J]. ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2003, 16 (03) : 185 - 190
  • [46] State/signal linear time-invariant systems theory: passive discrete time systems
    Arov, Damir Z.
    Staffans, Olof J.
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2007, 17 (5-6) : 497 - 548
  • [47] DISCRETE LINEAR TIME-INVARIANT SYSTEMS WITH SINGULAR TRANSITION MATRIX
    HONTOIR, Y
    CRUZ, JB
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (05) : 732 - &
  • [48] Joint learning of linear time-invariant dynamical systems☆
    Modi, Aditya
    Faradonbeh, Mohamad Kazem Shirani
    Tewari, Ambuj
    Michailidis, George
    [J]. AUTOMATICA, 2024, 164
  • [49] Simultaneous global external and internal stabilization of linear time-invariant discrete-time systems subject to actuator saturation
    Wang, Xu
    Saberi, Ali
    Stoorvogel, Anton A.
    Sannuti, Peddapullaiah
    [J]. AUTOMATICA, 2012, 48 (05) : 699 - 711
  • [50] On the existence of common quadratic Lyapunov functions for second-order linear time-invariant discrete-time systems
    Akar, M
    Narendra, KS
    [J]. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2002, 16 (10) : 729 - 751