Nonsmooth Feedback Control of Time-Delay Nonlinear Systems: A Dynamic Gain Based Approach

被引：109
作者：
Zhang, Xu [1 ]
Lin, Wei [2 ,3 ]
Lin, Yan [1 ]
机构：
[1] Beihang Univ, Sch Automat, Beijing 100083, Peoples R China
[2] Dongguan Univ Technol, Guangdong 523000, Peoples R China
[3] Case Western Reserve Univ, Dept Elect Engn & Comp Sci, Cleveland, OH 44106 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 01期
基金：
美国国家科学基金会;
关键词：
Dynamic state compensator; dynamic-gain; global state regulation; non-smooth feedback; time-delay nonlinear systems; GLOBAL STABILIZATION; ROBUST STABILIZATION; ADAPTIVE-CONTROL; CASCADE SYSTEMS;
D O I：
10.1109/TAC.2016.2562059
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note addresses the problem of global control for a class of time-delay nonlinear systems. Under a smoothness condition on the system nonlinearities, a delay-independent, non-smooth dynamic state compensator is constructed by developing a dynamic gain based design method. With the help of appropriate Lyapunov-Krasovskii functionals, it is shown that all the states of the time-delay nonlinear system can be regulated to the origin while maintaining boundedness of the closed-loop system. A benchmark example is given to illustrate the effectiveness of the proposed non-smooth feedback controller.
引用
收藏
页码：438 / 444
页数：7
相关论文
共 20 条
[1]   Compensation of State-Dependent Input Delay for Nonlinear Systems [J].
Bekiaris-Liberis, Nikolaos ;
Krstic, Miroslav .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (02) :275-289
[2]   Delay-Adaptive Control for Nonlinear Systems [J].
Bresch-Pietri, Delphine ;
Krstic, Miroslav .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) :1203-1218
[3]   Global stabilisation of high-order non-linear systems with time-varying delays [J].
Gao, Fangzheng ;
Yuan, Fushun ;
Wu, Yuqiang .
IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (13) :1737-1744
[4]  
GU K., 2003, CONTROL ENGN SER BIR
[5]   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
[6]   Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems [J].
Jankovic, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) :1048-1060
[7]   NECESSARY AND SUFFICIENT LYAPUNOV-LIKE CONDITIONS FOR ROBUST NONLINEAR STABILIZATION [J].
Karafyllis, Iasson ;
Jiang, Zhong-Ping .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (04) :887-928
[8]   Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems [J].
Krstic, Miroslav .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (02) :287-303
[9]   Nonsmooth adaptive stabilization of cascade systems with nonlinear parameterization via partial-state feedback [J].
Lin, W ;
Pongvuthithum, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (10) :1809-1816
[10]   Adaptive control of nonlinearly parameterized systems: The smooth feedback case [J].
Lin, W ;
Qian, CJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (08) :1249-1266
12