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Synchronization for coupled nonlinear systems with disturbances in input and measured output

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  • Zhai, Shidong
  • Zhou, Yuan
  • Li, Qingdu

Abstract

This paper considers the synchronization for coupled nonlinear systems with disturbances in input and measured output. By defining a controlled output, the synchronization problem is converted to a special suboptimal H∞ control problem. Precisely speaking, for a given disturbance attenuation level, we need to design a distributed output-feedback protocol such that the closed-loop system asymptotically reaches output synchronization when there do not exist disturbances, and the L2-gain from disturbances to the controlled output is less than the given level. We first consider the case that each agent is incrementally passive. Secondly, we consider the case that each agent is feedback incrementally passive and the measured output is not influenced by disturbances. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed control law.

Suggested Citation

  • Zhai, Shidong & Zhou, Yuan & Li, Qingdu, 2017. "Synchronization for coupled nonlinear systems with disturbances in input and measured output," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 227-237.
    • Handle: RePEc:eee:apmaco:v:294:y:2017:i:c:p:227-237
    DOI: 10.1016/j.amc.2016.09.020
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    References listed on IDEAS

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    7. Feng, Jianwen & Yang, Pan & Zhao, Yi, 2016. "Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 52-68.
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    Cited by:

    1. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    2. Zhai, Shidong & Huang, Tao & Luo, Guoqiang & Wang, Xin & Ma, Jun, 2022. "Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).

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