A Novel Fixed-Time Protocol for First-Order Consensus Tracking With Disturbance Rejection

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 t...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2022-11, Vol.67 (11), p.6180-6186
Main Authors: Xu, Yong, Yao, Zhaozhan, Lu, Renquan, Ghosh, Bijoy K.
Format: Article
Language:English
Subjects:
Consensus tracking
directed graphs
disturbance rejection
fixed-time stability
Graph theory
Initial conditions
Multiagent systems
Nonlinear control
nonsmooth analysis
Process control
Protocols
Rejection
Sliding mode control
Stability analysis
Topology
Tracking
Trajectory
Upper bound
Upper bounds
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2021.3131549