Authors: Xiuxian Li Housheng Su Michael Z Q Chen
Publish Date: 2016/03/03
Volume: 85, Issue: 1, Pages: 415-424
Abstract
In this paper the flocking problem for multiple nonlinear Euler–Lagrange systems is investigated with both parametric uncertainties and timedelays under directed communication graphs With the help of a new coordinate transformation method an adaptive controller which is dependent on position and velocity measurements is proposed to guarantee flocking By frequency domain analysis input–output stability analysis and the final value theorem the synchronization of positions/velocities of all the agents is guaranteed and in the meantime all agents ultimately track a designated velocity It is shown that to ensure flocking the sufficient condition is closely relevant to a constant gain in the proposed controller and the nonzero eigenvalues of the Laplacian matrix whose moduli are less than one Finally one numerical simulation is presented to demonstrate the efficiency of the theoretical resultsThe authors are grateful to the Editor the Associate Editor and the reviewers for their valuable suggestions This research was partially supported by the Research Grants Council Hong Kong through the General Research Fund under Grant 106140120 the HKU CRCG Seed Funding Programme for Basic Research 201411159037 the Natural Science Foundation of China under Grants 61374053 and 61473129 and the Program for New Century Excellent Talents in University from Chinese Ministry of Education under Grant NCET120215
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