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

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.