Cooperative Output Regulation for a Class of Nonlinear Uncertain Multi-Agent Systems Using the Backstepping Method

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Abstract:

The cooperative output regulation problem for a class of nonlinear uncertain multi-agent systems is considered. Based on the distributed internal model, the problem is firstly transformed into a global stabilization problem of the augmented system. Then, using the backstepping design method, a distributed control law with its stability analysis is proposed to solve the global stabilization problem of the augmented system. Finally, a numerical simulation is made to show the efficacy of the analytic results.

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238-243

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December 2014

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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[1] X. Wang, T. Liu and J. Qin, Second-order Consensus with Unknown Dynamics via Cyclic-small-gain Method, IET Control Theory Application, 2012, 6(18), 2748-2756.

DOI: 10.1049/iet-cta.2011.0393

Google Scholar

[2] X. Wang, C. Yu and Z. Lin, A Dual Quaternion Solution to Attitude and Position Control for Rigid-body Coordination, IEEE Transactions on Robotics, 2012, 28(5), 1162-1170.

DOI: 10.1109/tro.2012.2196310

Google Scholar

[3] H. Shi, L. Wang and T. Chu, Flocking of multi-agent systems with a dynamic virtual leader, International Journal of Control, 2009, 82(1), 43-58.

DOI: 10.1080/00207170801983091

Google Scholar

[4] Y. Stergiopoulos and A. Tzes, Spatially distributed area coverage optimisation in mobile robotic networks with arbitrary convex anisotropic patterns, Automatica, 2013, 49(1), 232-237.

DOI: 10.1016/j.automatica.2012.09.012

Google Scholar

[5] X. Wang, J. Qin and C. Yu, ISS Method for Coordination Control of Nonlinear Dynamical Agents under Directed Topology, IEEE Transactions on Cybernetics, 2014, 44(10), 1832-1845.

DOI: 10.1109/tcyb.2013.2296311

Google Scholar

[6] Y. Su and J. Huang, Cooperative output regulation of a linear multi-agent system, 30th IASTED Conference on Modelling, Identification, and Control, AsiaMIC 2010, November 24, 2010 - November 26, 2010, Phuket, Thailand, Year, 228-233.

DOI: 10.2316/p.2010.702-011

Google Scholar

[7] X. Wang, W. Ni and J. Yang, Distributed output regulation of switching multi-agent systems subject to input saturation, 10th World Congress on Intelligent Control and Automation, WCICA 2012, July 6, 2012 - July 8, 2012, Beijing, China, Year, 840-845.

DOI: 10.1109/wcica.2012.6357996

Google Scholar

[8] C. Godsil and G. Royle, Algebraic graph theory: Graduate Texts in Mathematics, New York, Springer, (2001).

DOI: 10.1007/978-1-4613-0163-9

Google Scholar

[9] J. Huang, Nonlinear Output Regulation: Theory and Applications, Philadelphia, USA, SIAM, (2004).

Google Scholar

[10] M. A. Barron and S. Mihir, Synchronization of Four Coupled van de Pol Oscillators, Nonlinear Dynamics, 2009, 56(4), 357-367.

DOI: 10.1007/s11071-008-9402-y

Google Scholar