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Distributed Nonlinear Placement for Multicluster Systems: A Time-Varying Nash Equilibrium-Seeking Approach | IEEE Journals & Magazine | IEEE Xplore

Distributed Nonlinear Placement for Multicluster Systems: A Time-Varying Nash Equilibrium-Seeking Approach


Abstract:

In this article, a class of distributed nonlinear placement problems is considered for a multicluster system. The task is to determine the positions of the agents in each...Show More

Abstract:

In this article, a class of distributed nonlinear placement problems is considered for a multicluster system. The task is to determine the positions of the agents in each cluster subject to the constraints on agent positions and the network topology. In particular, the agents in each cluster are placed to form the desired shape and minimize the sum of squares of the Euclidean lengths of the links amongst the center of each cluster and its corresponding cluster members. The problem is converted into a time-varying noncooperative game and then a distributed Nash equilibrium-seeking algorithm is designed based on a distributed observer method. A new iterative approach is employed to prove the convergence with the aid of the Lyapunov stability theorem. The effectiveness of the distributed algorithm is validated by numerical examples.
Published in: IEEE Transactions on Cybernetics ( Volume: 52, Issue: 11, November 2022)
Page(s): 11614 - 11623
Date of Publication: 30 June 2021

ISSN Information:

PubMed ID: 34191736

Funding Agency:

Author image of Bomin Huang
School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China
Bomin Huang received the Ph.D. degree in control theory and engineering from Xiamen University, Xiamen, China, in 2017.
From 2017 to 2019, he was a Postdoctoral Researcher with the Department of Precision Instrument, Tsinghua University, Beijing, China. He is currently an Assistant Professor with the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China. His research interests include no...Show More
Bomin Huang received the Ph.D. degree in control theory and engineering from Xiamen University, Xiamen, China, in 2017.
From 2017 to 2019, he was a Postdoctoral Researcher with the Department of Precision Instrument, Tsinghua University, Beijing, China. He is currently an Assistant Professor with the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China. His research interests include no...View more
Author image of Chengwang Yang
School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China
Chengwang Yang received the B.S. degree in measurement and control technology and instruments from the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China, in 2018, where he is currently pursuing the M.S. degree.
His current research interests include multiagent systems and distributed control.
Chengwang Yang received the B.S. degree in measurement and control technology and instruments from the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China, in 2018, where he is currently pursuing the M.S. degree.
His current research interests include multiagent systems and distributed control.View more
Author image of Ziyang Meng
Department of Precision Instrument, Tsinghua University, Beijing, China
Ziyang Meng (Senior Member, IEEE) received the B.S. degree (Hons.) from the Huazhong University of Science and Technology, Wuhan, China, in 2006, and the Ph.D. degree from Tsinghua University, Beijing, China, in 2010. He was an exchange Ph.D. student with Utah State University, Logan, UT, USA, from 2008 to 2009.
From 2010 to 2015, he was a Postdoctoral Fellow, a Researcher, and a Humboldt Research Fellow with, respectively...Show More
Ziyang Meng (Senior Member, IEEE) received the B.S. degree (Hons.) from the Huazhong University of Science and Technology, Wuhan, China, in 2006, and the Ph.D. degree from Tsinghua University, Beijing, China, in 2010. He was an exchange Ph.D. student with Utah State University, Logan, UT, USA, from 2008 to 2009.
From 2010 to 2015, he was a Postdoctoral Fellow, a Researcher, and a Humboldt Research Fellow with, respectively...View more
Author image of Fei Chen
School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China
State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China
Fei Chen (Senior Member, IEEE) received the Ph.D. degree in control theory and control engineering from Nankai University, Tianjin, China, in 2009.
He is currently a Professor with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China, and the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China. Prior to joining Northeastern...Show More
Fei Chen (Senior Member, IEEE) received the Ph.D. degree in control theory and control engineering from Nankai University, Tianjin, China, in 2009.
He is currently a Professor with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China, and the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China. Prior to joining Northeastern...View more
Author image of Wei Ren
Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, CA, USA
Wei Ren (Fellow, IEEE) received the Ph.D. degree in electrical engineering from Brigham Young University, Provo, UT, USA, in 2004.
He is currently a Professor with the Department of Electrical and Computer Engineering, University of California at Riverside (UC Riverside), Riverside, CA, USA. Prior to joining UC Riverside in 2011, he was a Faculty Member with the Utah State University, Logan, UT, USA, and a Postdoctoral Res...Show More
Wei Ren (Fellow, IEEE) received the Ph.D. degree in electrical engineering from Brigham Young University, Provo, UT, USA, in 2004.
He is currently a Professor with the Department of Electrical and Computer Engineering, University of California at Riverside (UC Riverside), Riverside, CA, USA. Prior to joining UC Riverside in 2011, he was a Faculty Member with the Utah State University, Logan, UT, USA, and a Postdoctoral Res...View more

Author image of Bomin Huang
School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China
Bomin Huang received the Ph.D. degree in control theory and engineering from Xiamen University, Xiamen, China, in 2017.
From 2017 to 2019, he was a Postdoctoral Researcher with the Department of Precision Instrument, Tsinghua University, Beijing, China. He is currently an Assistant Professor with the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China. His research interests include nonlinear control, multiagent systems, optimization, and game theory.
Bomin Huang received the Ph.D. degree in control theory and engineering from Xiamen University, Xiamen, China, in 2017.
From 2017 to 2019, he was a Postdoctoral Researcher with the Department of Precision Instrument, Tsinghua University, Beijing, China. He is currently an Assistant Professor with the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China. His research interests include nonlinear control, multiagent systems, optimization, and game theory.View more
Author image of Chengwang Yang
School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China
Chengwang Yang received the B.S. degree in measurement and control technology and instruments from the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China, in 2018, where he is currently pursuing the M.S. degree.
His current research interests include multiagent systems and distributed control.
Chengwang Yang received the B.S. degree in measurement and control technology and instruments from the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China, in 2018, where he is currently pursuing the M.S. degree.
His current research interests include multiagent systems and distributed control.View more
Author image of Ziyang Meng
Department of Precision Instrument, Tsinghua University, Beijing, China
Ziyang Meng (Senior Member, IEEE) received the B.S. degree (Hons.) from the Huazhong University of Science and Technology, Wuhan, China, in 2006, and the Ph.D. degree from Tsinghua University, Beijing, China, in 2010. He was an exchange Ph.D. student with Utah State University, Logan, UT, USA, from 2008 to 2009.
From 2010 to 2015, he was a Postdoctoral Fellow, a Researcher, and a Humboldt Research Fellow with, respectively, Shanghai Jiao Tong University, Shanghai, China; the KTH Royal Institute of Technology, Stockholm, Sweden; and the Technical University of Munich, Munich, Germany. He has been an Associate Professor with the Department of Precision Instrument, Tsinghua University, since 2015. His research interests include multiagent systems, distributed control and optimization, and vision-based navigation.
Dr. Meng serves as an Associate Editor for Systems and Control Letters and IET Control Theory & Applications.
Ziyang Meng (Senior Member, IEEE) received the B.S. degree (Hons.) from the Huazhong University of Science and Technology, Wuhan, China, in 2006, and the Ph.D. degree from Tsinghua University, Beijing, China, in 2010. He was an exchange Ph.D. student with Utah State University, Logan, UT, USA, from 2008 to 2009.
From 2010 to 2015, he was a Postdoctoral Fellow, a Researcher, and a Humboldt Research Fellow with, respectively, Shanghai Jiao Tong University, Shanghai, China; the KTH Royal Institute of Technology, Stockholm, Sweden; and the Technical University of Munich, Munich, Germany. He has been an Associate Professor with the Department of Precision Instrument, Tsinghua University, since 2015. His research interests include multiagent systems, distributed control and optimization, and vision-based navigation.
Dr. Meng serves as an Associate Editor for Systems and Control Letters and IET Control Theory & Applications.View more
Author image of Fei Chen
School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China
State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China
Fei Chen (Senior Member, IEEE) received the Ph.D. degree in control theory and control engineering from Nankai University, Tianjin, China, in 2009.
He is currently a Professor with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China, and the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China. Prior to joining Northeastern University, he was with Utah State University, Logan, UT, USA, from 2009 to 2010, and with Xiamen University, Xiamen, China, from 2010 to 2018. He is one author of the book Distributed Average Tracking in Multi-Agent Systems (Springer-Verlag, 2020). His research interests include multiagent systems theory, nonsmooth control, cooperative control, distributed optimization, and complex networks.
Prof. Chen was a recipient of the Natural Science Award of Hebei Province (First Class), the Distinguished Young Scholars of Hebei Province, and the Outstanding Reviewer for IEEE Transactions on Control of Network Systems. He is an Associate Editor for IEEE Access and PLoS ONE.
Fei Chen (Senior Member, IEEE) received the Ph.D. degree in control theory and control engineering from Nankai University, Tianjin, China, in 2009.
He is currently a Professor with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China, and the School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China. Prior to joining Northeastern University, he was with Utah State University, Logan, UT, USA, from 2009 to 2010, and with Xiamen University, Xiamen, China, from 2010 to 2018. He is one author of the book Distributed Average Tracking in Multi-Agent Systems (Springer-Verlag, 2020). His research interests include multiagent systems theory, nonsmooth control, cooperative control, distributed optimization, and complex networks.
Prof. Chen was a recipient of the Natural Science Award of Hebei Province (First Class), the Distinguished Young Scholars of Hebei Province, and the Outstanding Reviewer for IEEE Transactions on Control of Network Systems. He is an Associate Editor for IEEE Access and PLoS ONE.View more
Author image of Wei Ren
Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, CA, USA
Wei Ren (Fellow, IEEE) received the Ph.D. degree in electrical engineering from Brigham Young University, Provo, UT, USA, in 2004.
He is currently a Professor with the Department of Electrical and Computer Engineering, University of California at Riverside (UC Riverside), Riverside, CA, USA. Prior to joining UC Riverside in 2011, he was a Faculty Member with the Utah State University, Logan, UT, USA, and a Postdoctoral Researcher with the University of Maryland, College Park, MD, USA. He has authored two books Distributed Coordination of Multi-Agent Networks (Springer-Verlag, 2011) and Distributed Consensus in Multi-Vehicle Cooperative Control (Springer-Verlag, 2008). His research focuses on distributed control of multiagent systems and autonomous control of unmanned vehicles.
Prof. Ren was a recipient of the IEEE Control Systems Society Antonio Ruberti Young Researcher Prize in 2017, and the National Science Foundation CAREER Award in 2008. He is currently an Associate Editor for Automatica and IEEE Transactions on Automatic Control.
Wei Ren (Fellow, IEEE) received the Ph.D. degree in electrical engineering from Brigham Young University, Provo, UT, USA, in 2004.
He is currently a Professor with the Department of Electrical and Computer Engineering, University of California at Riverside (UC Riverside), Riverside, CA, USA. Prior to joining UC Riverside in 2011, he was a Faculty Member with the Utah State University, Logan, UT, USA, and a Postdoctoral Researcher with the University of Maryland, College Park, MD, USA. He has authored two books Distributed Coordination of Multi-Agent Networks (Springer-Verlag, 2011) and Distributed Consensus in Multi-Vehicle Cooperative Control (Springer-Verlag, 2008). His research focuses on distributed control of multiagent systems and autonomous control of unmanned vehicles.
Prof. Ren was a recipient of the IEEE Control Systems Society Antonio Ruberti Young Researcher Prize in 2017, and the National Science Foundation CAREER Award in 2008. He is currently an Associate Editor for Automatica and IEEE Transactions on Automatic Control.View more
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