Distributed robust control of linear multi-agent systems with parameter uncertainties
dc.contributor.author | Li, Zhongkui | |
dc.contributor.author | Duan, Zhisheng | |
dc.contributor.author | Xie, Lihua | |
dc.contributor.author | Liu, Xiangdong | |
dc.date.accessioned | 2013-07-16T07:25:10Z | |
dc.date.available | 2013-07-16T07:25:10Z | |
dc.date.copyright | 2012 | en_US |
dc.date.issued | 2012 | |
dc.identifier.citation | Li, Z., Duan, Z., Xie, L., & Liu, X. (2012). Distributed robust control of linear multi-agent systems with parameter uncertainties. International Journal of Control, 85(8), 1039-1050. | en_US |
dc.identifier.issn | 0020-7179 | en_US |
dc.identifier.uri | http://hdl.handle.net/10220/11590 | |
dc.description.abstract | This article considers the distributed robust control problems of uncertain linear multi-agent systems with undirected communication topologies. It is assumed that the agents have identical nominal dynamics while subject to different norm-bounded parameter uncertainties, leading to weakly heterogeneous multi-agent systems. Distributed controllers are designed for both continuous- and discrete-time multi-agent systems, based on the relative states of neighbouring agents and a subset of absolute states of the agents. It is shown for both the continuous- and discrete-time cases that the distributed robust control problems under such controllers in the sense of quadratic stability are equivalent to the H ∞ control problems of a set of decoupled linear systems having the same dimensions as a single agent. A two-step algorithm is presented to construct the distributed controller for the continuous-time case, which does not involve any conservatism and meanwhile decouples the feedback gain design from the communication topology. Furthermore, a sufficient existence condition in terms of linear matrix inequalities is derived for the distributed discrete-time controller. Finally, the distributed robust H ∞ control problems of uncertain linear multi-agent systems subject to external disturbances are discussed. | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartofseries | International journal of control | en_US |
dc.rights | © 2012 Taylor & Francis. | en_US |
dc.subject | DRNTU::Engineering::Electrical and electronic engineering | |
dc.title | Distributed robust control of linear multi-agent systems with parameter uncertainties | en_US |
dc.type | Journal Article | |
dc.contributor.school | School of Electrical and Electronic Engineering | en_US |
dc.identifier.doi | http://dx.doi.org/10.1080/00207179.2012.674644 |
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