Design of State Feedback Controller for Fractional-Order Singular Systems with Time Delays

In this study an effective method is introduced to stabilize fractional-order singular time-delay systems, while time-delay can belong to a specified interval from zero to a given amount of delay. A new approach to decompose fractional-order singular time-delay systems (FOSTDSs) and transform them to normal fractional-order time-delay systems (FOTDSs) with a lower order is presented. Also, as this decomposition reduces the order of the system, reducing the computational complexity is one of the important benefits of this method. Then, a stabilization method is provided to stabilize the linear singular fractional delay systems in a range of zero to one given delay. By presenting three examples in this paper, the applicability and effectiveness of this method are shown.