ROBUST FIXED-TIME CONSENSUS PROTOCOLS FOR MULTI-AGENT SYSTEMS WITH NONLINEAR STATE MEASUREMENTS
Author(s) -
Ye Cheng,
Ke Shi,
Bin Wu
Publication year - 2020
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/20190208
Subject(s) - settling time , nonlinear system , convergence (economics) , multi agent system , protocol (science) , control theory (sociology) , bounded function , computer science , mathematics , consensus , robustness (evolution) , lyapunov function , topology (electrical circuits) , mathematical optimization , mathematical analysis , engineering , control engineering , artificial intelligence , control (management) , quantum mechanics , physics , alternative medicine , economic growth , chemistry , pathology , biochemistry , step response , medicine , combinatorics , economics , gene
This paper solves the robust fixed-time consensus problem for multi-agent systems with nonlinear state measurements. Sufficient conditions are established for the proposed protocol to reach fixed-time consensus under time-varying undirected and fixed directed topology with the aid of Lyapunov functions. It is proved that the finite settling time of the presented protocol for robust consensus is uniformly bounded for any initial condition, which makes it possible for people to design and estimate the convergence time off-line. Numerical simulations are preformed to show the effectiveness of our proposed protocol.
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