Open AccessDelayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systems
Author(s) -
Soni Sandeep Kumar,
Xiong Xiaogang,
Sachan Ankit,
Kamal Shyam,
Ghosh Sandip
Publication year - 2021
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/cth2.12171
Subject(s) - control theory (sociology) , convergence (economics) , multi agent system , exponential stability , control (management) , state (computer science) , computer science , stability (learning theory) , mathematics , lyapunov function , lyapunov stability , linear matrix inequality , nonlinear system , mathematical optimization , algorithm , artificial intelligence , physics , quantum mechanics , machine learning , economics , economic growth
This paper proposes a distributed artificially delayed output feedback‐based leader–follower and leaderless consensus control for the uncertain general linear multiagent systems (MASs) with an arbitrary relative degree. Based on the measured relative output and their delayed information with respect to neighbours, two distributed controllers are designed, which relaxes the requirement of all relative states information of agents. Through the Lyapunov–Krasovskii functional, linear matrix inequalities (LMIs) are formulated, and these LMIs are feasible for arbitrary small delays selected by the user. Delay‐dependent sufficient conditions are provided to guarantee the asymptotic convergence of nominal error systems and ultimately uniform boundedness in the case of a perturbed error system, using the input to state stability (ISS) theory. Finally, the efficacy of the proposed method is illustrated through numerical examples.