Adaptive controller design for fixed-time leader-following consensus of multi-agent systems with discontinuous dynamics

被引:12
作者
Sharifi, Arman [1 ]
Pourgholi, Mahdi [1 ]
机构
[1] Shahid Beheshti Univ, Fac Elect Engn, Tehran, Iran
关键词
Multi-agent system; fixed-time consensus; discontinuous dynamics; adaptive control; FINITE-TIME; NETWORKS; SYNCHRONIZATION; STABILITY; TRACKING;
D O I
10.1080/00207179.2020.1825817
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 paper investigates the adaptive fixed-time consensus of a class of multi-agent systems with discontinuous dynamics. First, under the framework of Filippov solutions, a new theorem is established to achieve fixed-time consensus of discontinuous multi-agent systems using the proposed control protocol. Furthermore, an adaptive control protocol is provided in the second theorem that highly improves the control signals of the system. Finally, numerical simulations are worked out to illustrate the effectiveness of our theoretical results.
引用
收藏
页码:830 / 839
页数:10
相关论文
共 33 条
[1]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[2]   Finite-time consensus for multi-agent networks with unknown inherent nonlinear dynamics [J].
Cao, Yongcan ;
Ren, Wei .
AUTOMATICA, 2014, 50 (10) :2648-2656
[3]  
Clarke F. H., 1990, Optimization and Nonsmooth Analysis
[4]  
Cortés J, 2008, IEEE CONTR SYST MAG, V28, P36, DOI 10.1109/MCS.2008.919306
[5]   Finite-time convergent gradient flows with applications to network consensus [J].
Cortés, Jorge .
AUTOMATICA, 2006, 42 (11) :1993-2000
[6]  
Davila J, 2016, P AMER CONTR CONF, P3728, DOI 10.1109/ACC.2016.7525493
[7]   Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions [J].
Ding, Xiaoshuai ;
Cao, Jinde ;
Alsaedi, Ahmed ;
Alsaadi, Fuad E. ;
Hayat, Tasawar .
NEURAL NETWORKS, 2017, 90 :42-55
[8]  
Filipov A. F., 1988, Differential Equations With Discontinuous Right-Hand Side, P191
[9]   Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties [J].
Fu, Junjie ;
Wang, Jinzhi .
SYSTEMS & CONTROL LETTERS, 2016, 93 :1-12
[10]  
Hardy GH., 1988, INEQUALITIES CAMBRID