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

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 guarantee...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2019, Automation, and Systems, 17(5), , pp.1184-1190
Main Authors: Shi, Sheng-Li, Li, Jian-Xiong, Fang, Yi-Ming
Format: Article
Language:English
Subjects:
Avoidance
Control
Control stability
Controllers
D C motors
Engineering
Hyperbolic functions
Mathematical analysis
Mechatronics
Regular Papers
Robotics
Sliding mode control
Stability analysis
제어계측공학
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Summary: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.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-018-0654-0