Robust output consensus of homogeneous multi-agent systems with negative imaginary dynamics
This paper addresses the robust output consensus problem for multiple homogeneous negative imaginary (NI) systems subject to L2 external disturbances and model uncertainties. The principal aim of this paper is to extend and overcome limitations in previous studies which had required restrictive assu...
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Published in | Automatica (Oxford) Vol. 113; p. 108799 |
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Format | Journal Article |
Language | English |
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Abstract | This paper addresses the robust output consensus problem for multiple homogeneous negative imaginary (NI) systems subject to L2 external disturbances and model uncertainties. The principal aim of this paper is to extend and overcome limitations in previous studies which had required restrictive assumptions to be imposed and thereby derive necessary and sufficient conditions for robust output consensus of networked NI systems when such assumptions do not hold. In doing so, the recently published robust NI stability results are utilised. An advantage of the derived conditions is that they depend on the dc and infinite frequency gains of the systems as well as the network graph but not on the precise dynamics of the systems. Furthermore, it is shown that the derived conditions specialise to the earlier results in literature either by imposing the same assumptions or by imposing different ones which had not been known previously. It is also shown that the derived conditions simplify in the single-input single-output case and an intuition about these results is provided. Finally, examples are given which demonstrate the effectiveness of the proposed results over earlier results when earlier assumptions are not met. |
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AbstractList | This paper addresses the robust output consensus problem for multiple homogeneous negative imaginary (NI) systems subject to L2 external disturbances and model uncertainties. The principal aim of this paper is to extend and overcome limitations in previous studies which had required restrictive assumptions to be imposed and thereby derive necessary and sufficient conditions for robust output consensus of networked NI systems when such assumptions do not hold. In doing so, the recently published robust NI stability results are utilised. An advantage of the derived conditions is that they depend on the dc and infinite frequency gains of the systems as well as the network graph but not on the precise dynamics of the systems. Furthermore, it is shown that the derived conditions specialise to the earlier results in literature either by imposing the same assumptions or by imposing different ones which had not been known previously. It is also shown that the derived conditions simplify in the single-input single-output case and an intuition about these results is provided. Finally, examples are given which demonstrate the effectiveness of the proposed results over earlier results when earlier assumptions are not met. |
ArticleNumber | 108799 |
Author | Skeik, Ola Lanzon, Alexander |
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Cites_doi | 10.1016/j.automatica.2016.04.046 10.1016/j.automatica.2017.03.001 10.1016/j.sysconle.2012.08.002 10.1109/TCSI.2009.2023937 10.1109/JPROC.2006.887293 10.1115/1.2799126 10.1109/MCAS.2013.2271443 10.1109/TAC.2015.2497461 10.1049/iet-cta.2015.0800 10.1109/TAC.2008.919567 10.1109/TAC.2014.2325692 10.1109/MED.2017.7984271 10.1109/TAC.2015.2395472 10.1016/j.sysconle.2011.04.008 10.1002/rnc.4652 10.1109/TAC.2010.2052711 10.1109/TAC.2010.2045700 10.1109/CDC.2018.8619029 10.1109/TAC.2017.2688579 10.1109/TCNS.2015.2468991 10.1109/TAC.2004.834113 10.1016/j.automatica.2015.07.028 10.1016/j.sysconle.2015.01.008 10.1016/j.automatica.2013.03.008 |
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