Fixed-Time Stability of the Hydraulic Turbine Governing System. (30th January 2018)

• Record Type: Journal Article
• Authors: Ma, Caoyuan; Liu, Chuangzhen; Zhang, Xuezi; Sun, Yongzheng; Wu, Wenbei; Xie, Jin
• Other Names: Do Ton D. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-01-30
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/1352725
• Languages: English
• ISSNs: 1024-123X

Abstract

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.