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Output regulation of multiple heterogeneous switched linear systems

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Abstract

This paper addresses the cooperative output regulation problem of a class of multi-agent systems (MASs). Each agent is a switched linear system. We propose an agent-dependent multiple Lyapunov function (MLF) approach to design the switching law for each switched agent. The distributed controller for each agent is constructed based on a dynamic compensator. A sufficient condition for the solvability of the output regulation problem of switched agent networks is presented by distributed controllers and agent-dependent multiple Lyapunov function approach. Finally, simulation results demonstrate the effectiveness of our theory.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Nos. 61304058 and 61233002), IAPI Fundamental Research Funds (No. 2013ZCX03-01), and General Project of Scientific Research of the Education Department of Liaoning Province (No. L2015547).

Author information

Authors and Affiliations

  1. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, China

    Hong-Wei Jia & Jun Zhao

  2. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Hong-Wei Jia & Jun Zhao

  3. Normal College, Shenyang University, Shenyang, 110044, China

    Hong-Wei Jia

Authors
  1. Hong-Wei Jia
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  2. Jun Zhao
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Corresponding author

Correspondence to Jun Zhao.

Additional information

Recommended by Associate Editor Wing Cheong Dahiel Ho

Hong-Wei Jia received the B. Sc. degree in mathematics from Liaoning Normal University, China in 1996, and received the M. Sc. degree in mathematics from Jilin University, China in 2007. She is now a Ph.D. degree candidate in control theory and applications at the College of Information Science and Engineering, Northeastern University, China.

Her research interests include switched systems, multi-agent systems and distributed control.

Jun Zhao received Ph.D. degree in control theory and applications at Northeastern University, China in 1991. From 1992 to 1993, he was a postdoctoral fellow at the same University. Since 1994, as a professor, he has been with College of Information Science and Engineering, Northeastern University, China. From 1998 to 1999, he was a senior visiting scholar at the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, USA. From November 2003 to May 2005, he was a research fellow at Department of Electronic Engineering, City University of Hong Kong. During 2007 to 2010, he was a fellow at School of Engineering, The Australian National University, Australia.

His research interests include switched systems, nonlinear systems and network synchronization.

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Jia, HW., Zhao, J. Output regulation of multiple heterogeneous switched linear systems. Int. J. Autom. Comput. 15, 492–499 (2018). https://doi.org/10.1007/s11633-017-1058-y

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