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T-S Fuzzy Model-Based Robust Output-Feedback Control for Fractional-Order Systems

This paper proposes a robust dynamic output feedback control for uncertain fractional-order systems based on an uncertain Takagi-Sugeno fuzzy model with a fractional-order satisfying 0<α<1. By means of a specific Lyapunov function, some sufficient conditions, expressed as linear matrix inequalities, are derived to allow the design of a stabilizing dynamic output feedback controller for the said fractional-order system. When compared with previous work, the proposed method not only shows abilities to handle the fuzzy system with the time-derivatives of the membership functions but also can deal with the parametric uncertainties effectively. A simulation example is given to demonstrate the validity of the proposed conditions.