Adaptive robust control of a class of nonlinear strict-feedback discrete-time systems with unknown control directions

被引:82
|
作者
Ge, Shuzhi Sam [1 ]
Yang, Chenguang
Lee, Tong Heng
机构
[1] Natl Univ Singapore, Social Robot Lab, Interact Digital Media Inst, Singapore 117576, Singapore
关键词
adaptive control; nonlinear discrete-time systems; strict-feedback systems; discrete Nussbaum gain;
D O I
10.1016/j.sysconle.2008.04.006
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, adaptive control is studied for a class of nonlinear discrete-time systems in strict-feedback form with unknown control directions. The system is transformed to an n-step ahead predictor, based on which an adaptive control employing the predicted future states has been proposed. The discrete Nussbaum gain is exploited to overcome the difficulty caused by unknown control directions. The proposed control guarantees the boundedness of all the closed-loop signals and the output tracking error can be made to converge to zero if the system is free of external disturbance. The effectiveness of the proposed control is demonstrated in the simulation. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:888 / 895
页数:8
相关论文
共 50 条
  • [1] Adaptive Control of a Class of Strict-Feedback Discrete-Time Nonlinear Systems with Unknown Control Gains and Preceded by Hysteresis
    Ge, Shuzhi Sam
    Yang, Chenguang
    Dai, Shi-Lu
    Lee, Tong Heng
    [J]. 2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 586 - +
  • [2] Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems
    Ge, SS
    Li, GY
    Lee, TH
    [J]. AUTOMATICA, 2003, 39 (05) : 807 - 819
  • [3] Adaptive control of discrete-time strict-feedback nonlinear systems
    Zhao, JX
    Kanellakopoulos, I
    [J]. PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 828 - 832
  • [4] Direct adaptive robust NN control for a class of discrete-time nonlinear strict-feedback SISO systems
    Guo-Xing Wen
    Yan-Jun Liu
    C. L. Philip Chen
    [J]. Neural Computing and Applications, 2012, 21 : 1423 - 1431
  • [5] Robust adaptive control of a class of nonlinear strict-feedback discrete-time systems with exact output tracking
    Ge, Shuzhi Sam
    Yang, Chenguang
    Dai, Shi-Lu
    Jiao, Zongxia
    Lee, Tong Heng
    [J]. AUTOMATICA, 2009, 45 (11) : 2537 - 2545
  • [6] Direct adaptive robust NN control for a class of discrete-time nonlinear strict-feedback SISO systems
    Wen, Guo-Xing
    Liu, Yan-Jun
    Chen, C. L. Philip
    [J]. NEURAL COMPUTING & APPLICATIONS, 2012, 21 (06): : 1423 - 1431
  • [7] Adaptive fuzzy backstepping control for a class of strict-feedback discrete-time nonlinear systems
    Wang, Xin
    Li, Tieshan
    Cai, Yao
    Lin, Bin
    [J]. 2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 261 - 266
  • [8] Direct adaptive NN control for a class of discrete-time nonlinear strict-feedback systems
    Liu, Yan-Jun
    Wen, Guo-Xing
    Tong, Shao-Cheng
    [J]. NEUROCOMPUTING, 2010, 73 (13-15) : 2498 - 2505
  • [9] Robust adaptive output feedback control of a class of discrete-time nonlinear systems with nonlinear uncertainties and unknown control directions
    Dai, Shi-Lu
    Yang, Chenguang
    Ge, Shuzhi Sam
    Lee, Tong Heng
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (13) : 1472 - 1495
  • [10] Output feedback adaptive control of a class of nonlinear discrete-time systems with unknown control directions
    Yang, Chenguang
    Ge, Shuzhi Sam
    Lee, Tong Heng
    [J]. AUTOMATICA, 2009, 45 (01) : 270 - 276