Fixed-Time Stability of the Hydraulic Turbine Governing System

作者:Ma, Caoyuan; Liu, Chuangzhen; Zhang, Xuezi; Sun, Yongzheng*; Wu, Wenbei; Xie, Jin
来源:Mathematical Problems in Engineering, 2018, 2018: 1352725.
DOI:10.1155/2018/1352725

摘要

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.