TY - JOUR
T1 - A Novel Fixed Time Protocol for First-Order Consensus Tracking with Disturbance Rejection
AU - Ghosh, Bijoy
AU - Xu, Young
AU - Xu, Yong
AU - Yao, Zhaozhan
AU - Lu, Renquan
N1 - Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 62121004 and Grant 61876041, in part by the Local Innovative and Research Teams Project of Guangdong Special Support Program under Grant 2019BT02X353, in part by the Key Area Research and Development Program of Guangdong Province under Grant 2021B0101410005, and in part by the Natural Science Foundation of Guangdong Province under Grant 2021B1515420008.
Publisher Copyright:
© 1963-2012 IEEE.
PY - 2021/11
Y1 - 2021/11
N2 - This technical note studies fixed-time consensus tracking with disturbance rejection for first-order multiagent systems. The communication topology among the leader and followers contains a directed spanning tree. The control input to the leader is time-varying and unknown to the followers, except that its upper bound is known a priori. A novel fixed-time protocol is devised based on discontinuous and nonlinear control. A fixed-time stability analysis for consensus tracking with disturbance rejection is completed as a one-step control process using nonsmooth analysis. An upper bound estimate for the settling time, independent of the initial conditions, is aesthetically pleasing, in comparison to previous results derived based on two-step control design technique using sliding modes. Finally, a numeric example confirms the theoretical results.
AB - This technical note studies fixed-time consensus tracking with disturbance rejection for first-order multiagent systems. The communication topology among the leader and followers contains a directed spanning tree. The control input to the leader is time-varying and unknown to the followers, except that its upper bound is known a priori. A novel fixed-time protocol is devised based on discontinuous and nonlinear control. A fixed-time stability analysis for consensus tracking with disturbance rejection is completed as a one-step control process using nonsmooth analysis. An upper bound estimate for the settling time, independent of the initial conditions, is aesthetically pleasing, in comparison to previous results derived based on two-step control design technique using sliding modes. Finally, a numeric example confirms the theoretical results.
KW - Consensus tracking
KW - directed graphs
KW - disturbance rejection
KW - fixed-time stability
KW - nonsmooth analysis
UR - http://www.scopus.com/inward/record.url?scp=85120907811&partnerID=8YFLogxK
U2 - 10.1109/TAC.2021.3131549
DO - 10.1109/TAC.2021.3131549
M3 - Article
VL - 67
SP - 6180
EP - 6186
JO - IEEE Transactions Automatic Control
JF - IEEE Transactions Automatic Control
IS - 11
ER -