Prescribed-time control of high-order nonholonomic systems in chained form by time-varying feedback

被引:14
作者
Zhang, Kang-Kang [1 ]
Zhou, Bin [1 ]
Hou, Mingzhe [1 ]
Duan, Guang-Ren [1 ]
机构
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
Prescribed -time control; High -order nonholonomic systems; Scalarization; Time -varying feedback; Bounded feedback; EXPONENTIAL STABILIZATION; NONLINEAR-SYSTEMS; STABILITY; DESIGN;
D O I
10.1016/j.sysconle.2022.105307
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, the prescribed-time control problem for a class of high-order nonholonomic systems is investigated. With the aid of a novel state transformation, the nonholonomic systems are decoupled. Further, a time-varying high-gain feedback controller is constructed by backstepping. It is shown that the proposed control law can achieve the prescribed-time convergence for high-order nonholonomic systems and the controller is bounded. Numerical examples verify the effectiveness of the method proposed in this paper. (C) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数:12
相关论文
共 41 条
[11]   Stabilization of uncertain chained form systems within finite settling time [J].
Hong, YG ;
Wang, JK ;
Xi, ZR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (09) :1379-1384
[12]   Iterative design of time-varying stabilizers for multi-input systems in chained form [J].
Jiang, ZP .
SYSTEMS & CONTROL LETTERS, 1996, 28 (05) :255-262
[13]   Robust exponential regulation of nonholonomic systems with uncertainties [J].
Jiang, ZP .
AUTOMATICA, 2000, 36 (02) :189-209
[14]  
Khalil, 2002, CONTROL NONLINEAR SY
[15]   A dynamic high-gain design for prescribed-time regulation of nonlinear systems [J].
Krishnamurthy, Prashanth ;
Khorrami, Farshad ;
Krstic, Miroslav .
AUTOMATICA, 2020, 115 (115)
[16]   MODIFIED QUADRATIC COST PROBLEM AND FEEDBACK STABILIZATION OF A LINEAR-SYSTEM [J].
KWON, WH ;
PEARSON, AE .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (05) :838-842
[17]  
Lin W, 2000, IEEE T AUTOMAT CONTR, V45, P1886
[18]   Control of high-order nonholonomic systems in power chained form using discontinuous feedback [J].
Lin, W ;
Pongvuthithum, R ;
Qian, CJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (01) :108-115
[19]   GLOBAL FINITE-TIME STABILIZATION VIA TIME-VARYING FEEDBACK FOR UNCERTAIN NONLINEAR SYSTEMS [J].
Liu, Yungang .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (03) :1886-1913
[20]   A Separation-Based Methodology to Consensus Tracking of Switched High-Order Nonlinear Multiagent Systems [J].
Lv, Maolong ;
Yu, Wenwu ;
Cao, Jinde ;
Baldi, Simone .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 33 (10) :5467-5479