Finite‐time control for a fractional‐order non‐linear HTGS

Abstract

This study studies the no‐chattering finite‐time control for a fractional‐order non‐linear hydro‐turbine governing system (HTGS). First, an actual six‐dimensional fractional‐order non‐linear HTGS model is introduced. Then, based on the fractional‐order finite‐time stability theorem and sliding mode control, a novel robust finite‐time terminal sliding mode control scheme is proposed for the fractional‐order non‐linear HTGS. Furthermore, by designing the controller with differential form and introducing the hyperbolic tangent function, the chattering phenomenon is well‐suppressed. Finally, numerical simulations are employed to verify the validity and superiority of the proposed method. It provides a new idea for the stability control of the HTGS and also has a certain reference value for practical engineering application.