Stabilization Control of Continuous-Time Fractional Positive Systems Based on Disturbance Observer

Abstract

This paper studies the problem of stabilization control for a class of continuous-time fractional systems subject to external constant disturbances based on a disturbance observer. To tackle unknown disturbances, a fractional disturbance observer is introduced for the fractional system. A stabilization controller incorporating the disturbance observer is then designed for the fractional system. Under the developed control scheme and linear program method, the sufficient conditions are proposed to guarantee that the fractional systems with the closed-loop positivity are asymptotically stable. Numerical simulation results further demonstrate the effectiveness of the results.