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Frontiers of Information Technology & Electronic Engineering >> 2019, Volume 20, Issue 1 doi: 10.1631/FITEE.1800611

Leader-following consensus of second-order nonlinear multi-agent systems subject to disturbances

1. School of Automation, Beijing Institute of Technology, Beijing 100081, China
2. City University of Hong Kong Shenzhen Research Institute, Shenzhen 518057, China
3. 3Department of Biomedical Engineering, City University of Hong Kong, Hong Kong, China

Available online: 2019-03-08

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Abstract

In this study, we investigate the leader-following consensus problem of a class of heterogeneous secondorder nonlinear multi-agent systems subject to disturbances. In particular, the nonlinear systems contain uncertainties that can be linearly parameterized. We propose a class of novel distributed control laws, which depends on the relative state of the system and thus can be implemented even when no communication among agents exists. By Barbalat’s lemma, we demonstrate that consensus of the second-order nonlinear multi-agent system can be achieved by the proposed distributed control law. The effectiveness of the main result is verified by its application to consensus control of a group of Van der Pol oscillators.

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