Output feedback adaptive control of a class of nonlinear discrete-time systems with unknown control directions

被引:151
作者
Yang, Chenguang
Ge, Shuzhi Sam [1 ]
Lee, Tong Heng
机构
[1] Natl Univ Singapore, Social Robot Lab, Interact Digital Media Inst, Singapore 117576, Singapore
关键词
Unknown control directions; Discrete-time nonlinear systems; Output-feedback form; Discrete Nussbaum gain; HIGH-FREQUENCY GAIN; A-PRIORI KNOWLEDGE; CONTROL COEFFICIENTS; ROBUST-CONTROL; NN CONTROL; DESIGN;
D O I
10.1016/j.automatica.2008.07.009
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, output feedback adaptive control is investigated for a class of nonlinear systems in output-feedback form with unknown control gains. To construct output feedback control, the system is transformed into the form of the NARMA (nonlinear-auto-regressive-moving-average) model, based on which future output prediction is carried out. With employment of the predicted future output, a constructive output feedback adaptive control is given with the discrete Nussbaum gain exploited to overcome the difficulty due to unknown control directions. Under the global Lipschitz condition of the system functions, the boundedness of all the closed-loop signals and asymptotical output tracking are achieved by the proposed control. Simulation results are presented to show the effectiveness of the proposed approach. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:270 / 276
页数:7
相关论文
共 50 条
[21]   Adaptive Control of a Class of Strict-Feedback Discrete-Time Nonlinear Systems with Unknown Control Gains and Preceded by Hysteresis [J].
Ge, Shuzhi Sam ;
Yang, Chenguang ;
Dai, Shi-Lu ;
Lee, Tong Heng .
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, :586-+
[22]   Reinforcement Learning-Based Control for Nonlinear Discrete-Time Systems with Unknown Control Directions and Control Constraints [J].
Huang, Miao ;
Liu, Cong ;
He, Xiaoqi ;
Ma, Longhua ;
Lu, Zheming ;
Su, Hongye .
NEUROCOMPUTING, 2020, 402 :50-65
[23]   Discrete-Time Adaptive Iterative Learning Control with Unknown Control Directions [J].
Yu, Miao ;
Zhang, Jianliang ;
Qi, Douglian .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2012, 10 (06) :1111-1118
[24]   Output-feedback adaptive fuzzy control for a class of nonlinear systems with input delay and unknown control directions [J].
Yue, Hongyun ;
Li, Junmin .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (01) :129-154
[25]   Adaptive Neural Network Output-Feedback Control for a Class of Discrete-Time Nonlinear Systems in Presence of Input Saturation [J].
Wang, Xin ;
Li, Tieshan ;
Chen, C. L. Philip .
NEURAL INFORMATION PROCESSING (ICONIP 2017), PT VI, 2017, 10639 :165-173
[26]   Robust adaptive control of a class of nonlinear strict-feedback discrete-time systems with exact output tracking [J].
Ge, Shuzhi Sam ;
Yang, Chenguang ;
Dai, Shi-Lu ;
Jiao, Zongxia ;
Lee, Tong Heng .
AUTOMATICA, 2009, 45 (11) :2537-2545
[27]   Adaptive neural output feedback control for stochastic nonlinear time-delay systems with unknown control directions [J].
Yu, Zhaoxu ;
Li, Shugang ;
Du, Hongbin .
NEURAL COMPUTING & APPLICATIONS, 2014, 25 (7-8) :1979-1992
[28]   Adaptive fuzzy ILC of nonlinear discrete-time systems with unknown dead zones and control directions [J].
Xu, Qing-Yuan ;
Li, Xiao-Dong .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (09) :1878-1894
[29]   Adaptive Fuzzy Control for a Class of Nonlinear Discrete-Time Systems With Backlash [J].
Liu, Yan-Jun ;
Tong, Shaocheng .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (05) :1359-1365
[30]   A Fuzzy Iterative Learning Control for Nonlinear Discrete-Time Systems with Unknown Control Directions [J].
Wang, Ying-Chung ;
Chien, Chiang-Ju .
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, :3081-3086