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Simultaneous Stability of Large-scale Systems via Distributed Control Network with Partial Information Exchange

  • Regular Papers
  • Control Theory and Applications
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Abstract

This paper is concerned with the simultaneous stability of the multi-mode large-scale systems composed of the interaction subsystems. A novel distributed control network consisting of multiple network-based controllers with the partial information exchange is adopted to simultaneously stabilize the large-scale systems in multiple operation modes. In the distributed control network (DCN), a partial state information exchange approach is developed to save the real-time communication and computation resources. To compensate for the effects of dynamic couplings between interaction subsystems, the designed controllers use both the local states and the neighbors’ partial information with packet dropouts for local feedback design. Then, a series of Lyapunov functions are constructed to derive a matrix-inequality-based sufficient condition for the existence of the desired controllers. Based on an orthogonal complement technique, the gains of the controllers in DCN are parameterized. The iterative algorithm for the solution of simultaneous stabilization problem is also developed. Finally, a numerical example is performed to show the relevant feature of the proposed method.

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Author information

Authors and Affiliations

  1. College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, 200234, China

    Yanfei Zhu & Chuanjiang Li

  2. Griffith School of Engineering, Griffith University, Gold Coast Campus, Nathan, QLD, 4222, Australia

    Fuwen Yang

  3. Key Laboratory of Marine Technology and Control Engineering Ministry of Communications, Shanghai Maritime University, Shanghai, 201306, China

    Yilian Zhang

Authors
  1. Yanfei Zhu
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  2. Fuwen Yang
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  3. Chuanjiang Li
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  4. Yilian Zhang
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Corresponding author

Correspondence to Fuwen Yang.

Additional information

Recommended by Associate Editor Juhoon Back under the direction of Editor Yoshito Ohta. This journal was supported by Natural Science Foundation of Shanghai (No. 18ZR1428000), Research Project of Science and Technology Commission of Shanghai Municipality (No. 16070502900), the Innovation Team Program of Shanghai Normal University (No. A-7001-15-001005), the Australian Research Council Discovery Project (DP160103567), and National Natural Science Foundation of China (No. 61701307).

Yanfei Zhu received his Ph.D. degree in Control Science and Engineering from East China University of Science and Technology, China, in 2016. Now, he is a lecturer with the College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, China. His research interests include distributed control, robust control, nonlinear systems, and networked control systems.

Fuwen Yang received the Ph.D. degree in Control Engineering from Huazhong University of Science and Technology, China, in 1990. He was a Research Fellow with Brunel University, U.K., and King’s College London, U.K., a Professor with Fuzhou University, China, and East China University of Science and Technology, China, and an Associate Professor with Central Queensland University, Australia. He is currently an Associate Professor with Griffith University, Australia. His current research interests include networked control systems, distributed filtering and sensing, reliable fault detection and diagnosis, distributed control and filtering for smart girds.

Chuanjiang Li received his Ph.D. degree from Shanghai University in 2014. He is currently an associate professor in the college of Information, Mechanical and Electrical Engineering, Shanghai Normal University, China. His current research interests include autonomous mobile robots, human robot interaction.

Yilian Zhang received her B.Sc. degree in Automation in 2010 and her Ph. D. degree in Control Science and Engineering in 2015 from East China University of Science and Technology, China. From 2012 to 2014, she was a visiting student with the Centre for Intelligent and Networked Systems at Central Queensland University, Australia. Now, she is a lecturer in Shanghai Maritime University. Dr. Zhang’s research interests include H∞ control and filtering, networked control systems, set-membership control and filtering, and unmanned surface vessel.

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Zhu, Y., Yang, F., Li, C. et al. Simultaneous Stability of Large-scale Systems via Distributed Control Network with Partial Information Exchange. Int. J. Control Autom. Syst. 16, 1502–1511 (2018). https://doi.org/10.1007/s12555-017-0483-6

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  • DOI: https://doi.org/10.1007/s12555-017-0483-6

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