Robust backstepping control of uncertain nonlinear systems with unknown time-varying input delay

被引:0
作者
Jain, Ashish Kumar [1 ]
Bhasin, Shubhendu [2 ]
机构
[1] MJP Rohilkhand Univ, Dept EI Engn, Bareilly, Uttar Pradesh, India
[2] Indian Inst Technol, Dept Elect Engn, Delhi, India
来源
IFAC PAPERSONLINE | 2020年 / 53卷 / 02期
关键词
Unknown input delay; Lyapunov-Krasovskii functionals; Strict-feedback system; ADAPTIVE-CONTROL; STABILIZATION; COMPENSATION; FEEDBACK; ACTUATOR;
D O I
10.1016/j.ifacol.2020.12.1043
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 robust compensator is developed for a class of strict-feedback uncertain nonlinear systems with additive disturbance and unknown time-varying input delay. The compensator is composed of a Proportional-Integral (PI) control and delay compensation term based on a finite integral of the past control values. The sufficient inequality conditions on controller gains and upper bound of input delay are derived using a Lyapunov-based stability analysis by choosing suitable L-K functionals, which guarantee a global uniformly ultimately bounded (GUUB) tracking result. Simulation results show the performance and robustness of controller for different values of time-varying input delay. Copyright (C) 2020 The Authors.
引用
收藏
页码:4862 / 4867
页数:6
相关论文
共 28 条
[1]   LINEAR-SYSTEMS WITH DELAYED CONTROLS - A REDUCTION [J].
ARTSTEIN, Z .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) :869-879
[2]  
Bahill A. T., 1983, IEEE Control Systems Magazine, V3, P16, DOI 10.1109/MCS.1983.1104748
[3]   Delay-Adaptive Control for Nonlinear Systems [J].
Bresch-Pietri, Delphine ;
Krstic, Miroslav .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) :1203-1218
[4]   Adaptive control scheme for uncertain time-delay systems [J].
Bresch-Pietri, Delphine ;
Chauvin, Jonathan ;
Petit, Nicolas .
AUTOMATICA, 2012, 48 (08) :1536-1552
[5]   Adaptive trajectory tracking despite unknown input delay and plant parameters [J].
Bresch-Pietri, Delphine ;
Krstic, Miroslav .
AUTOMATICA, 2009, 45 (09) :2074-2081
[6]   Output Feedback Regulation of a Chain of Integrators With an Unknown Time-Varying Delay in the Input [J].
Choi, Ho-Lim ;
Lim, Jong-Tae .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (01) :263-268
[7]   Adaptive Tracking Control for a Class of Stochastic Uncertain Nonlinear Systems With Input Saturation [J].
Gao, Yong-Feng ;
Sun, Xi-Ming ;
Wen, Changyun ;
Wang, Wei .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (05) :2498-2504
[8]   Tracking control of uncertain nonlinear systems with unknown constant input delay [J].
Jain, Ashish Kumar ;
Bhasin, Shubhendu .
IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2020, 7 (02) :420-425
[9]   A Robust Delay Compensator for Uncertain Nonlinear Systems With Unknown Time-Varying Input Delay [J].
Jain, Ashish Kumar ;
Bhasin, Shubhendu .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2019, 141 (11)
[10]   Time-Varying Input and State Delay Compensation for Uncertain Nonlinear Systems [J].
Kamalapurkar, Rushikesh ;
Fischer, Nicholas ;
Obuz, Serhat ;
Dixon, Warren E. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (03) :834-839