Abstract
This paper focuses on the fuzzy output feedback stabilization for uncertain fractional-order systems (FOS) in the case of the fractional-order satisfying 0<α<1 and 1≤α<2. Firstly, the uncertain FOS is described by the so-called fractional-order Takagi–Sugeno (T–S) fuzzy model, and the fuzzy output feedback controller is correspondingly designed. Secondly, based on the slack variable method and FOS stability criteria, sufficient conditions in the form of linear matrix inequality (LMI) are derived for the robust asymptotical stability of the closed-loop control systems with fractional-order 0<α<1. Furthermore, the results are extended to stabilize the FOS with fractional-order 1≤α<2. Finally, two numerical simulation examples are given to show the effectiveness of the proposed method.
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