Finite-time Guaranteed Cost Control of Positive Switched Fractional-Order Systems Based on Φ-Dependent ADT Switching.

The guaranteed cost finite-time stability of positive switched fractional-order systems (PSFS) with D-disturbance and impulse is studied based on the Φ -dependent average dwell time (Φ DADT) strategy. Firstly, the finite-time stability of the studied system is proved by constructing a linear co-positive Lyapunov function. Secondly, the system's guaranteed cost analysis is given with the estimated upper bound of the cost. In addition, the finite-time certain and robust controllers are designed to ensure the system's stabilization. A numerical example is finally given to signify the validity of the conclusions. [ABSTRACT FROM AUTHOR]