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Fractional-disturbance-observer-based Sliding Mode Control for Fractional Order System with Matched and Mismatched Disturbances

Sheng-Li Shi, Jian-Xiong Li, and Yi-Ming Fang*
International Journal of Control, Automation, and Systems, vol. 17, no. 5, pp.1184-1190, 2019

Abstract : "This paper addresses the sliding mode control for a class of fractional order systems with matched and mismatched disturbances. Firstly, fractional disturbance observer is presented to estimate both the matched and mismatched disturbances, and the boundedness of the estimation error can be guaranteed. Secondly, sliding mode surface is constructed based on the output of the observer. The bounded stability of the closed-loop system under the designed controller is revealed by theoretical analysis. Finally, simulation results show that the proposed control strategy can effectively suppress the effect of the matched and mismatched disturbances on the system."

Keyword : "Fractional disturbance observer, fractional order system, matched and mismatched disturbances, sliding mode control."

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