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Predictor‐based H ∞ leader‐following consensus of stochastic multi‐agent systems with random input delay
Author(s) -
Li Ke,
Mu Xiaowu
Publication year - 2021
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2731
Subject(s) - multiplicative function , lyapunov function , control theory (sociology) , mathematics , multiplicative noise , state (computer science) , controller (irrigation) , computer science , function (biology) , mathematical optimization , control (management) , algorithm , transmission (telecommunications) , nonlinear system , mathematical analysis , telecommunications , physics , signal transfer function , quantum mechanics , artificial intelligence , evolutionary biology , analog signal , agronomy , biology
In this paper, we investigate H ∞ leader‐following consensus of multi‐agent systems with state multiplicative noise governed by stochastic differential equations and random time‐varying input delays which satisfy a certain probability. A new predictor‐based controller is designed based on the reduction approach to guarantee H ∞ leader‐following consensus is achieved in mean square sense. By designing a Lyapunov function and using stochastic techniques, sufficient conditions are obtained in a form of linear matrix inequalities. Finally, a simulation is given to demonstrate the effectiveness of the obtained theoretical results.