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Stabilisation for cascade of nonlinear ODEs and counter-convecting transport dynamics

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  • Xiushan Cai
  • Dingchao Wang
  • Yang Liu
  • Xisheng Zhan
  • Huaicheng Yan

Abstract

We consider stabilisation for a nonlinear ordinary differential equation (ODE) and counter-convecting transport partial differential equations (PDEs) cascaded system in which the transport coefficients depend on the ODE state. Stability analysis of the closed-loop system is based on the infinite-dimensional backstepping transformations and a Lyapunov functional. A predictor control is proposed such that the closed-loop system is globally asymptotically stable. The proposed design method is illustrated by a single-link manipulator.

Suggested Citation

  • Xiushan Cai & Dingchao Wang & Yang Liu & Xisheng Zhan & Huaicheng Yan, 2019. "Stabilisation for cascade of nonlinear ODEs and counter-convecting transport dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(10), pages 2053-2062, July.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2053-2062
    DOI: 10.1080/00207721.2019.1646350
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