Sliding mode based prescribed-time consensus tracking control of second-order multi-agent systems

被引:16
作者
Cui, Bing [1 ]
Wang, Yujuan [2 ]
Liu, Kun [1 ]
Xia, Yuanqing [1 ]
机构
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China
基金
中国国家自然科学基金;
关键词
Multi-agent systems; Directed graph; Prescribed-time control; Consensus tracking; NONLINEAR-SYSTEMS; OUTPUT-FEEDBACK; LINEAR-SYSTEMS; STABILIZATION; STABILITY; DESIGN;
D O I
10.1016/j.automatica.2023.111296
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 work, we investigate the prescribed-time consensus tracking problem for second-order multi-agent systems under directed topology. A new hybrid distributed observer for each follower is developed to estimate the states of the leader in prescribed time. Based on the observer, a novel prescribed-time sliding mode surface that is nonsingular and the corresponding tracking controller are designed such that the full state consensus tracking is achieved within a prescribed time. The salient feature of the proposed control scheme lies in that not only accurate tracking can be achieved within the prescribed time but also the numerical implementation problem arising from the infinite time-varying gain is avoided. The effectiveness of the proposed method is confirmed by the numerical simulation.(c) 2023 Published by Elsevier Ltd.
引用
收藏
页数:9
相关论文
共 40 条
[1]   A redesign methodology generating predefined-time differentiators with bounded time-varying gains [J].
Aldana-Lopez, Rodrigo ;
Seeber, Richard ;
Gomez-Gutierrez, David ;
Tulio Angulo, Marco ;
Defoort, Michael .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (15) :9050-9065
[2]   Enhancing the settling time estimation of a class of fixed-time stable systems [J].
Aldana-Lopez, Rodrigo ;
Gomez-Gutierrez, David ;
Jimenez-Rodriguez, Esteban ;
Diego Sanchez-Torres, Juan ;
Defoort, Michael .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (12) :4135-4148
[3]   Finite-time distributed control with time transformation [J].
Arabi, Ehsan ;
Yucelen, Tansel ;
Singler, John R. .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (01) :107-130
[4]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[5]   On Designing Distributed Prescribed Finite-Time Observers for Strict-Feedback Nonlinear Systems [J].
Chang, Le ;
Han, Qing-Long ;
Ge, Xiaohua ;
Zhang, Chenghui ;
Zhang, Xianfu .
IEEE TRANSACTIONS ON CYBERNETICS, 2021, 51 (09) :4695-4706
[6]   Prescribed-time decentralized regulation of uncertain nonlinear multi-agent systems via output feedback [J].
Chen, Xiandong ;
Zhang, Xianfu ;
Liu, Qingrong .
SYSTEMS & CONTROL LETTERS, 2020, 137
[7]   Cooperative tracking control for general linear multiagent systems with directed intermittent communications: An artificial delay approach [J].
Cui, Bing ;
Xia, Yuanqing ;
Liu, Kun ;
Zhang, Jinhui .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (10) :3063-3077
[8]   Leader-follower fixed-time consensus for multi-agent systems with unknown non-linear inherent dynamics [J].
Defoort, Michael ;
Polyakov, Andrey ;
Demesure, Guillaume ;
Djemai, Mohamed ;
Veluvolu, Kalyana .
IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (14) :2165-2170
[9]   A class of predefined-time stable dynamical systems [J].
Diego Sanchez-Torres, Juan ;
Gomez-Gutierrez, David ;
Lopez, Esteban ;
Loukianov, Alexander G. .
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 :1-29
[10]   Information flow and cooperative control of vehicle formations [J].
Fax, JA ;
Murray, RM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476