Abstract
The finite-time H control of a fractional-order hydraulic turbine governing system (HTGS) is studied. First, a fractional-order HTGS as well as its generalized Takagi-Sugeno fuzzy model is presented. Then, based on the fractional-order stability theorem, the robust H state feedback control is designed to guarantee that the HTGS is asymptotically stable with prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance. Furthermore, the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control is integrated with finite-time control theory, a finite-time H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control is proposed for the fractional-order HTGS, and the stability condition is given in terms of linear matrix inequalities. Finally, simulation results verify the validity and superiority of the proposed control method.
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