A state estimator–based nonlinear predictive control for a fractional-order Francis hydraulic turbine governing system. (21st December 2019)

• Record Type: Journal Article
• Authors: Tian, Yuqiang; Wang, Bin; Chen, Peng; Yang, Ying
• Is Part Of: Journal of vibration and control. Volume 26:Number 11/12(2020)
• Page Start: 1068
• Page End: 1080
• Publication Date: 2019-12-21
• Subjects: Fractional-order stability -- hydraulic turbine governing system -- nonlinear predictive control -- state estimator -- Takagi–Sugeno fuzzy; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546319891633
• Languages: English
• ISSNs: 1077-5463

Abstract

A nonlinear predictive control scheme with a state estimator for a fractional-order hydraulic turbine governing system is studied in this article. First, a more practical fractional-order model of the hydraulic turbine governing system is introduced. Second, according to the Grünwald–Letnikov definition of fractional calculus, the fractional-order hydraulic turbine governing system is transformed into a nonlinear discrete model. Third, based on the Takagi–Sugeno fuzzy theory, a fuzzy prediction model of the fractional-order hydraulic turbine governing system is presented. Furthermore, a state estimator–based nonlinear predictive control scheme is proposed for the fractional-order hydraulic turbine governing system, and the controller gain can be obtained by solving a linear matrix inequality. Finally, experimental results show that the proposed state estimator–based nonlinear predictive control could effectively restrain the oscillation of the fractional-order hydraulic turbine governing system under various working conditions.