Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order ۰ < α < ۱

This paper presents a novel method to investigate the robust stabilization problem of uncertain rectangular singular fractional order Takagi-Sugeno (T-S) fuzzy systems with the fractional order ۰ < α < ۱. Firstly, the uncertain rectangular singular fractional order T-S fuzzy system is transformed into an augmented uncertain square singular fractional order T-S fuzzy system by designing a new T-S fuzzy dynamic compensator. Secondly, a sufficient condition in the form of linear matrix inequalities (LMI) is obtained for the robust stabilization of the uncertain rectangular singular fractional order T-S fuzzy system. Finally, a numerical example is given to verify the effectiveness of the results proposed.

Keywords:

Fractional order systems , rectangular singular systems , T-S fuzzy systems , dynamic compensator , linear matrix inequalities