Fixed-time stability of the hydraulic turbine governing system
type: Item
instance of: scholarly article
title: Fixed-time stability of the hydraulic turbine governing system
zbMATH Open document ID: 1426.93225
DOI: 10.1155/2018/1352725
author: Caoyuan Ma
author: Chuangzhen Liu
author: Xuezi Zhang
author: Wenbei Wu
author: Jin Xie
author: Yongzheng Sun
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7018474
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1352725
OpenAlex ID: W2788178100
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description: scientific article; zbMATH DE number 7018474