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Fixed-Time Stability of the Hydraulic Turbine Governing System

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  • Caoyuan Ma
  • Chuangzhen Liu
  • Xuezi Zhang
  • Yongzheng Sun
  • Wenbei Wu
  • Jin Xie

Abstract

This paper studies the problem of fixed-time stability of hydraulic turbine governing system with the elastic water hammer nonlinear model. To control and improve the quality of hydraulic turbine governing system, a new fixed-time control strategy is proposed, which can stabilize the water turbine governing system within a fixed time. Compared with the finite-time control strategy where the convergence rate depends on the initial state, the settling time of the fixed-time control scheme can be adjusted to the required value regardless of the initial conditions. Finally, we numerically show that the fixed-time control is more effective than and superior to the finite-time control.

Suggested Citation

  • Caoyuan Ma & Chuangzhen Liu & Xuezi Zhang & Yongzheng Sun & Wenbei Wu & Jin Xie, 2018. "Fixed-Time Stability of the Hydraulic Turbine Governing System," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-10, January.
    • Handle: RePEc:hin:jnlmpe:1352725
    DOI: 10.1155/2018/1352725
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