Asymptotic Stabilization Control of Fractional- order Flexible Single-Lever Manipulator System via Vector Lyapunov Function Combined with M-matrix Method

This paper applies a new asymptotic stabilization control method for a new class of fractional-order flexible single-lever manipulator system, that is, the vector Lyapunov function combined with M-matrix method. First, we extended the integer-order flexible single-lever manipulator system to the fractional order field, and then judged the stability of the fractional-order flexible single-lever manipulator system through the fractional Routh-Herwitz criterion, and finally via the method of vector Lyapunov function combining with M- matrix, a novel feedback control strategy of the stabilization control of the fractional-order flexible single-lever manipulator system is derived. Finally, the validity of the theory is verified by simulation.