Adaptive Control of Uncertain Nonlinear Time-Delay Systems With External Disturbance

被引:35
作者
Zhang, Zhengqiang [1 ,2 ]
Xu, Bin [3 ]
Tan, Cheng [1 ]
Ge, Shuzhi Sam [4 ,5 ]
机构
[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
[2] Rizhao Huilian Zhongchuang Inst Intelligent Techn, Intelligent Control Lab, Rizhao 276826, Peoples R China
[3] Northwestern Polytech Univ, Sch Automat, Xian 710072, Peoples R China
[4] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore
[5] Qingdao Univ, Inst Future, Qingdao 266071, Peoples R China
来源
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2022年 / 52卷 / 02期
基金
中国国家自然科学基金;
关键词
Adaptive control; Nonlinear systems; Delays; State feedback; Delay effects; Lyapunov-Krasovskii functional; nonlinear system; time-delay system; OUTPUT-FEEDBACK CONTROL; STABILIZATION; RAZUMIKHIN;
D O I
10.1109/TSMC.2020.3017801
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 article, adaptive state feedback stabilization is addressed for a class of delayed uncertain systems with external disturbance, where the time delays and the bound parameters of the delayed states and disturbance are assumed to be unknown. By introducing a new Lyapunov-Krasovskii functional, we present a memoryless control strategy to stabilize nonlinear time-delay systems through newly defined control gain function. The main contribution of this article lies in the construction of control gain function. Multiple gain functions can be revealed in a function set. The asymptotic stability of the closed delayed nonlinear system is ensured. Simulation examples are presented to show the effectiveness of the proposed method.
引用
收藏
页码:1288 / 1295
页数:8
相关论文
共 25 条
[1]   NN Reinforcement Learning Adaptive Control for a Class of Nonstrict-Feedback Discrete-Time Systems [J].
Bai, Weiwei ;
Li, Tieshan ;
Tong, Shaocheng .
IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (11) :4573-4584
[2]   Input-to-State Stability and Inverse Optimality of Linear Time-Varying-Delay Predictor Feedbacks [J].
Cai, Xiushan ;
Bekiaris-Liberis, Nikolaos ;
Krstic, Miroslav .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (01) :233-240
[3]   Approximation-based control of nonlinear MIMO time-delay systems [J].
Ge, S. S. ;
Tee, K. P. .
AUTOMATICA, 2007, 43 (01) :31-43
[4]  
Hale J.K., 1993, Introduction to Functional Differential Equations
[5]   Smooth dynamic output feedback control for multiple time-delay systems with nonlinear uncertainties [J].
Hua, Chang-Chun ;
Guan, Xin-Ping .
AUTOMATICA, 2016, 68 :1-8
[6]   Model Following Controller Design for Large-Scale Systems With Time-Delay Interconnections and Multiple Dead-Zone Inputs [J].
Hua, Chang-Chun ;
Ding, Steven X. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (04) :962-968
[7]   Backstepping Control for Nonlinear Systems With Time Delays and Applications to Chemical Reactor Systems [J].
Hua, Changchun ;
Liu, Peter X. ;
Guan, Xinping .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2009, 56 (09) :3723-3732
[8]   Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems [J].
Jankovic, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) :1048-1060
[9]   Adaptive Output Feedback Control of Nonlinear Time-Delay Systems With Application to Chemical Reactor Systems [J].
Jia, Xianglei ;
Chen, Xinkai ;
Xu, Shengyuan ;
Zhang, Baoyong ;
Zhang, Zhengqiang .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2017, 64 (06) :4792-4799
[10]  
Khalil H. K., 2008, Nonlinear Systems, V3rd ed.