Open AccessConsensus for the fractional‐order double‐integrator multi‐agent systems based on the sliding mode estimator
Author(s) -
Bai Jing,
Wen Guoguang,
Rahmani Ahmed,
Yu Yongguang
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0523
Subject(s) - control theory (sociology) , estimator , integrator , convergence (economics) , double integrator , multi agent system , sliding mode control , lyapunov function , linear system , computer science , consensus , mathematics , law , control (management) , nonlinear system , artificial intelligence , bandwidth (computing) , computer network , mathematical analysis , statistics , physics , quantum mechanics , political science , economics , economic growth
Consensus for the fractional‐order double‐integrator multi‐agent systems is mainly studied in this study. First, a control law based on the sliding mode estimator is proposed to achieve consensus for the multi‐agent systems, where the linear systems and the non‐linear systems are discussed, respectively. Second, a distributed control law based on the sliding mode estimator is given to accomplish distributed consensus for the multi‐agent systems, the linear systems and the non‐linear systems are also considered, respectively. The validity of the designed control laws is proved by choosing the adaptive Lyapunov candidate functions. Finally, several examples are presented to demonstrate the obtained results and show the advantage of the proposed control laws in the convergence speed.