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Finite‐time consensus tracking for harmonic oscillators using both state feedback control and output feedback control
Author(s) -
Zhang Yanjiao,
Yang Ying,
Zhao Yu
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2803
Subject(s) - control theory (sociology) , observer (physics) , tracking (education) , computer science , protocol (science) , harmonic , state (computer science) , control (management) , state observer , consensus , feedback control , multi agent system , control engineering , nonlinear system , engineering , algorithm , artificial intelligence , physics , medicine , psychology , pedagogy , alternative medicine , pathology , quantum mechanics
SUMMARY This paper investigates the distributed finite‐time consensus‐tracking problem for coupled harmonic oscillators. The objective is to guarantee a team of followers modeled by harmonic oscillators to track a dynamic virtual leader in finite time. Only a subset of followers can access the information of the virtual leader, and the interactions between followers are assumed to be local. We consider two cases: (i) The followers can obtain the relative states between their neighbors and their own; and (ii) Only relative outputs between neighboring agents are available. In the former case, a distributed consensus protocol is adopted to achieve the finite‐time consensus tracking. In the latter case, we propose a novel observer‐based dynamic protocol to guarantee the consensus tracking in finite time. Simulation examples are finally presented to verify the theoretical analysis. Copyright © 2012 John Wiley & Sons, Ltd.