Abstract
In the current paper we consider the robust decentralized output regulation of heterogeneous uncertain linear systems with multiple leaders. A novel class of distributed observers is proposed. The states of the distributed observers synchronize to the states of their leaders, respectively. In contrast to the existing results, we consider a more general class of systems and furthermore we utilize the adaptive protocols to estimate the coupling weights between neighboring agents online. Therefore the observers and internal model based control laws can be designed in a purely distributed way, i.e., without knowledge of the associated matrix of the network topology. Finally we apply the proposed methods to solve the synchronization problem of a group of RLC networks and the simulation results show the effectiveness of the methods.
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Recommended by Associate Editor Sukho Park under the direction of Editor Fuchun Sun. This work has been supported by the Research Grants Council of the Hong Kong Special Administration Region under grant No. 412813, and in part by the National Natural Science Foundation of China under Grant No. 61174049, and in part by General project of Liaoning Provincial Department of Education(L2013236), and in part by National-Local Joint Engineering Laboratory Open Fund of NC Machining Equipment and Technology of High-Grade Stone(SJSC-2015-4).
Ranran Li received his BS degree in mechanical engineering and automation, PhD degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2005 and 2012, respectively. During September 2008 and October 2010, he works as a research assistant in Michigan State University, East Lansing, MI, USA. During March 2013 and September 2014, he holds a postdoctoral position in the Department of Mechanical and Automation Engineering of the Chinese University of Hong Kong, Hong Kong. Currently he works as a research associate in the Department of Electronic and Computer Engineering of Hong Kong University of Science and Technology, Hong Kong. His research interests include output regulation, cooperative control, robust control and adaptive control.
Huai-Tao Shi received his bachelor degree from Northeastern University in 2005, and his Ph.D. degree in control theory and control engineering at Northeastern University in 2012. Since 2014, he has been an Associate Professor. His research interest covers fault diagnosis in complex industrial processes and their applications, intelligent control theory and applications.
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Li, R., Shi, H. Robust decentralized output regulation of heterogeneous uncertain linear systems with multiple leaders via distributed adaptive protocols. Int. J. Control Autom. Syst. 14, 1183–1194 (2016). https://doi.org/10.1007/s12555-014-0542-1
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DOI: https://doi.org/10.1007/s12555-014-0542-1