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Distributed non-cooperative robust MPC based on reduced-order models

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Abstract

In this paper, a non-cooperative distributed MPC algorithm based on reduced order model is proposed to stabilize large-scale systems. The large-scale system consists of a group of interconnected subsystems. Each subsystem can be partitioned into two parts: measurable part, whose states can be directly measured by sensors, and the unmeasurable part. In the online computation phase, only the measurable dynamics of the corresponding subsystem and neighbour-to-neighbour communication are necessary for the local controller design. Satisfaction of the state constraints and the practical stability are guaranteed while the complexity of the optimization problem is reduced. Numerical examples are given to show the effectiveness of this algorithm.

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Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore, Singapore

    Yushen Long, Shuai Liu & Lihua Xie

  2. ACCESS Linnaeus Center, School of Electrical Engineering, Royal Institute of Technology, SE-100 44, Stockholm, Sweden

    Karl Henrik Johansson

Authors
  1. Yushen Long
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  2. Shuai Liu
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  3. Lihua Xie
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  4. Karl Henrik Johansson
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Corresponding author

Correspondence to Yushen Long.

Additional information

This work was supported by the Republic of Singapore’s National Research Foundation through a grant to the Berkeley Education Alliance for Research in Singapore (BEARS) for the Singapore-Berkeley Building Efficiency and Sustainability in the Tropics (SinBerBEST) Program. BEARS has been established by the University of California, Berkeley as a center for intellectual excellence in research and education in Singapore. This work was also supported by the National Natural Science Foundation of China (Nos. 61573220, 61304045).

Yushen LONG received the B.Sc. degree in Control Engineering from Tianjin University, China, in 2012. Currently, he is pursuing his Ph.D. degree of Control Engineering at Nanyang Technological University. His research interests are multi-agent systems, model predictive control, and building systems.

Shuai LIU received his B.E. and M.E. degrees in Control Theory and Engineering from Shandong University in 2004 and 2007, respectively, and his Ph.D. degree in Electrical and Electronic Engineering from Nanyang Technological University, Singapore, in 2012. Since 2011, he has been a research fellow with Berkeley education alliance for research in Singapore (BEARS). His research interests include cooperative control, distributed consensus, optimal estimation and control, time-delay systems, fault detection and estimation.

Lihua XIE received the B.E. and M.E. degrees in Electrical Engineering from Nanjing University of Science and Technology in 1983 and 1986, respectively, and the Ph.D. degree in Electrical Engineering from the University of Newcastle, Australia, in 1992. Since 1992, he has been with the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, where he is currently a professor and served as the Head of Division of Control and Instrumentation from July 2011 to June 2014. He held teaching appointments in the Department of Automatic Control, Nanjing University of Science and Technology from 1986 to 1989. Dr Xie’s research interests include robust control and estimation, networked control systems, multi-agent networks, and unmanned systems. He has served as an Editor-in-Chief of Unmanned Systems, an editor of IET Book Series in Control and an Associate Editor of a number of journals including IEEE Transactions on Automatic Control, Automatica, IEEE Transactions on Control Systems Technology, and IEEE Transactions on Circuits and Systems II. Dr Xie is a Fellow of IEEE and Fellow of IFAC.

Karl Henrik JOHANSSON is Director of the ACCESS Linnaeus Centre and Professor at the School of Electrical Engineering, KTH Royal Institute of Technology, Sweden. He is a Wallenberg Scholar and has held a Senior Researcher Position with the Swedish Research Council. He also heads the Stockholm Strategic Research Area ICT The Next Generation. He received M.Sc. and Ph.D. degrees in Electrical Engineering from Lund University. He has held visiting positions at UC Berkeley, California Institute of Technology, Nanyang Technological University, and Institute of Advanced Studies, Hong Kong University of Science and Technology. His research interests are in networked control systems, cyber-physical systems, and applications in transportation, energy, and automation systems. He has been a member of the IEEE Control Systems Society Board of Governors and the Chair of the IFAC Technical Committee on Networked Systems. He has been on the Editorial Boards of several journals, including Automatica, IEEE Transactions on Automatic Control, and IET Control Theory and Applications. He is currently a Senior Editor of IEEE Transactions on Control of Network Systems and Associate Editor of European Journal of Control. He has been Guest Editor for a special issue of IEEE Transactions on Automatic Control on cyber-physical systems and one of IEEE Control Systems Magazine on cyber-physical security. He was the General Chair of the ACM/IEEE Cyber-Physical Systems Week 2010 in Stockholm and IPC Chair of many conferences. He has served on the Executive Committees of several European research projects in the area of networked embedded systems. He received the Best Paper Award of the IEEE International Conference on Mobile Ad-hoc and Sensor Systems in 2009 and the Best Theory Paper Award of the World Congress on Intelligent Control and Automation in 2014. In 2009 he was awarded Wallenberg Scholar, as one of the first ten scholars from all sciences, by the Knut and Alice Wallenberg Foundation. He was awarded Future Research Leader from the Swedish Foundation for Strategic Research in 2005. He received the triennial Young Author Prize from IFAC in 1996 and the Peccei Award from the International Institute of System Analysis, Austria, in 1993. He received Young Researcher Awards from Scania in 1996 and from Ericsson in 1998 and 1999. He is a Fellow of the IEEE.

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Long, Y., Liu, S., Xie, L. et al. Distributed non-cooperative robust MPC based on reduced-order models. Control Theory Technol. 14, 11–20 (2016). https://doi.org/10.1007/s11768-016-5125-7

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  • DOI: https://doi.org/10.1007/s11768-016-5125-7

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