Unknown time-varying input delay compensation for uncertain nonlinear systems

被引:102
作者
Obuz, Serhat [1 ]
Klotz, Justin R. [1 ]
Kamalapurkar, Rushikesh [1 ]
Dixon, Warren [1 ]
机构
[1] Univ Florida, Dept Mech & Aerosp Engn, Gainesville, FL 32611 USA
关键词
Input delay; Robust control; Nonlinear control; EULER-LAGRANGE SYSTEM; ROBUST STABILIZATION; SATURATED CONTROL; ADAPTIVE-CONTROL; FEEDBACK-CONTROL; LINEAR-SYSTEMS; STATE;
D O I
10.1016/j.automatica.2016.09.030
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 tracking controller is developed for a class of uncertain nonlinear systems subject to unknown time-varying input delay and additive disturbances. A novel filtered error signal is designed using the past states in a finite integral over a constant estimated delay interval. The maximum tolerable error between unknown time-varying delay and a constant estimate of the delay is determined to establish uniformly ultimately bounded convergence of the tracking error to the origin. The controller development is based on an approach which uses Lyapunov-Krasovskii functionals to analyze the effects of unknown sufficiently slowly time-varying input delays. A stability analysis is provided to prove ultimate boundedness of the tracking error signals. Numerical simulation results illustrate the performance of the developed robust controller. (C) 2016 Published by Elsevier Ltd.
引用
收藏
页码:222 / 229
页数:8
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[1]   LINEAR-SYSTEMS WITH DELAYED CONTROLS - A REDUCTION [J].
ARTSTEIN, Z .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) :869-879
[2]  
Balas MJ, 2011, IEEE INTL CONF CONTR, P1437, DOI 10.1109/CCA.2011.6044374
[3]   Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations [J].
Bekiaris-Liberis, Nikolaos ;
Krstic, Miroslav .
AUTOMATICA, 2013, 49 (06) :1576-1590
[4]   Delay-Adaptive Control for Nonlinear Systems [J].
Bresch-Pietri, Delphine ;
Krstic, Miroslav .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) :1203-1218
[5]   Adaptive control scheme for uncertain time-delay systems [J].
Bresch-Pietri, Delphine ;
Chauvin, Jonathan ;
Petit, Nicolas .
AUTOMATICA, 2012, 48 (08) :1536-1552
[6]  
Bresch-Pietri D, 2011, P AMER CONTR CONF, P4890
[7]   Adaptive Backstepping Controller for Uncertain Systems With Unknown Input Time-Delay. Application to SI Engines [J].
Bresch-Pietri, Delphine ;
Chauvin, Jonathan ;
Petit, Nicolas .
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :3680-3687
[8]   Adaptive trajectory tracking despite unknown input delay and plant parameters [J].
Bresch-Pietri, Delphine ;
Krstic, Miroslav .
AUTOMATICA, 2009, 45 (09) :2074-2081
[9]  
Chen WH, 2006, WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, P2485
[10]   Robust Output Regulation of T-S Fuzzy Systems With Multiple Time-Varying State and Input Delays [J].
Chiu, Chian-Song ;
Chiang, Tung-Sheng .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (04) :962-975