Fuzzy generalised predictive control for a fractional‐order nonlinear hydro‐turbine regulating system. Issue 14 (21st September 2018)

• Record Type: Journal Article
• Authors: Shi, Ke; Wang, Bin; Chen, Haoyong
• Is Part Of: IET renewable power generation. Volume 12:Issue 14(2018)
• Page Start: 1708
• Page End: 1713
• Publication Date: 2018-09-21
• Subjects: Runge‐Kutta methods -- nonlinear control systems -- approximation theory -- hydroelectric power stations -- autoregressive moving average processes -- predictive control -- servomechanisms -- hydroelectric power -- hydraulic turbines -- hydraulic systems; fuzzy predictive model -- integer‐order part -- fourth‐order Runge–Kutta algorithm -- CARMA model -- generalised predictive control theory -- nonlinear fuzzy generalised predictive controller -- fractional‐order HTRS -- relevant hydropower systems -- fractional‐order nonlinear hydro‐turbine regulating system -- fuzzy generalised predictive control method -- fractional‐order hydro‐turbine regulating system -- Grünwald–Letnikov definition -- fractional calculus -- discretisation -- fractional‐order hydraulic servo system -- autoregressive integrating moving average model -- fuzzy linearisation theory; Renewable energy sources -- Periodicals; 333.79405
• DOI: 10.1049/iet-rpg.2018.5270
• Languages: English
• ISSNs: 1752-1416

Abstract

Abstract : This study focuses on a fuzzy generalised predictive control method for a fractional‐order hydro‐turbine regulating system (HTRS). Based on the Grünwald–Letnikov (G–L) definition of fractional calculus and discretisation, the fractional‐order hydraulic servo system is transformed into the standard controlled autoregressive integrating moving average (CARMA) model. With the help of fuzzy linearisation theory, the fuzzy predictive model of the integer‐order part of the HTRS is presented. Furthermore, by using the fourth‐order Runge–Kutta algorithm, the obtained fuzzy predictive model can be easily transformed into the CARMA model. Then, based on the overall CARMA model and the generalised predictive control theory, a novel nonlinear fuzzy generalised predictive controller is designed for the fractional‐order HTRS. Finally, numerical simulations are implemented to verify the validity and superiority of the proposed method. It also provides a reference for relevant hydropower systems.