Finite time control for fractional order nonlinear hydroturbine governing system via frequency distributed model
type: Item
instance of: scholarly article
title: Finite time control for fractional order nonlinear hydroturbine governing system via frequency distributed model
zbMATH Open document ID: 1400.93179
DOI: 10.1155/2016/7345325
author: Bin Wang
author: Lin Yin
author: Shaojie Wang
author: Shirui Miao
author: Tantan Du
author: Chao Zuo
published in: Advances in Mathematical Physics
publication date: 2018-10-17T00:00:00Z
review text: Summary: This paper studies the application of frequency distributed model for finite time control of a fractional order nonlinear Hydroturbine Governing System (HGS). Firstly, the mathematical model of HGS with external random disturbances is introduced. Secondly, a novel terminal sliding surface is proposed and its stability to origin is proved based on the frequency distributed model and Lyapunov stability theory. Furthermore, based on finite time stability and sliding mode control theory, a robust control law to ensure the occurrence of the sliding motion in a finite time is designed for stabilization of the fractional order HGS. Finally, simulation results show the effectiveness and robustness of the proposed scheme.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 6957376
zbMATH Keywords: frequency distributed model
zbMATH Keywords: finite time control
zbMATH Keywords: fractional order
zbMATH Keywords: nonlinear hydroturbine governing system
Wikidata QID: Q59122554
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7345325
OpenAlex ID: W2276543444
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description: scientific article; zbMATH DE number 6957376