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Scaled Consensus of Disturbed Multi-agent Systems with Output Saturation

International Journal of Control, Automation and Systems volume 20, pages 3121–3128 (2022)Cite this article

Abstract

This paper studies the problem of scaled consensus with output saturation under exogenous disturbances, that is, under exogenous disturbances the state of the agent reaches an assigned proportion, rather than a common value. The main contribution of this work is to propose a new nonlinear protocol, which attenuates the exogenous disturbances by designing a disturbance observer, so that the states of all agents will be proportional to each other. In addition, with the help of integral Lyapunov function, a sufficient condition for the multi-agent system to achieve the scaled consensus with output saturation under exogenous disturbances is obtained under the directed strong connection graph. Finally, a simulation example is given to verify the validity of the results of this work.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, 435002, China

    Heng Lei, Tao Han, Xi-Sheng Zhan & Jie Wu

  2. School of Key Laboratory of Advanced Control and Optimization for Chemical Processes of Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China

    Huaicheng Yan

Authors
  1. Heng Lei
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  2. Tao Han
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  3. Xi-Sheng Zhan
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Correspondence to Tao Han.

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This work was supported in part by the National Natural Science Foundation of China under Grants 62071173, 62072164 and 61971181.

Heng Lei is pursuing an M.S. degree in the School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, China. He received his B.S. degree in Automation, Hubei Normal University, Huangshi, China in 2019. His research interests include cooperative control of multi-agent systems and complex networks.

Tao Han received his Ph.D. degree from the School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China, in 2017, and he is currently a professor at the School of Electrical Engineering and Automation, Hubei Normal University. His research interests include cooperative control of multi-agent systems and complex networks.

Xi-Sheng Zhan is a professor at the School of Electrical Engineering and Automation, Hubei Normal University. He received his B.S. and M.S. degrees in control theory and control engineering from the Liaoning Shihua University, Fushun, China, in 2003 and 2006, respectively. He received his Ph.D. degree in control theory and applications from the Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China, in 2012. His research interests include networked control systems, robust control, and iterative learning control.

Jie Wu is a professor at the School of Electrical Engineering and Automation, Hubei Normal University. She received her B.S. and M.S. degrees in control theory and control engineering from the Liaoning Shihua University, Fushun, China, in 2004 and 2007, respectively. Her research interests include networked control systems, robust control and complex network.

Huaicheng Yan is a professor at the School of Information Science and Engineering, East China University of Science and Technology. He received his B.S. in automatic control from Wuhan University of Technology, Wuhan, China, in 2001, and his Ph.D. degree in control theory and control engineering from the Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China, in 2007. His current research interests include networked systems and multi-agent systems.

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Lei, H., Han, T., Zhan, XS. et al. Scaled Consensus of Disturbed Multi-agent Systems with Output Saturation. Int. J. Control Autom. Syst. 20, 3121–3128 (2022). https://doi.org/10.1007/s12555-021-0609-8

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  • DOI: https://doi.org/10.1007/s12555-021-0609-8

Keywords

  • Disturbance observers
  • exogenous disturbances
  • multi-agent systems
  • output saturation
  • scaled consensus