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Sliding mode control of uncertain fractional‐order systems: A reaching phase free approach

Abstract : This paper proposes a sliding surface which renders the system dynamics to start directly from itself without a reaching phase. More specifically, the system dynamics is insensitive to matched disturbances/uncertainties throughout the entire system response. The controller design based on reduced-order subsystem is still preserved. It is different from integral sliding mode in which the design is based on the full order of the system to reach the same objective. The simulation results of its application to a fractional inverted pendulum system is demonstrated.
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https://hal-cnam.archives-ouvertes.fr/hal-02433993
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Submitted on : Monday, March 7, 2022 - 11:03:11 AM
Last modification on : Wednesday, September 28, 2022 - 6:00:32 AM
Long-term archiving on: : Wednesday, June 8, 2022 - 6:59:45 PM

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Shyam Kamal, Rahul Kumar Sharma, Thach Ngoc Dinh, Harikrishnan Ms, Bijnan Bandyopadhyay. Sliding mode control of uncertain fractional‐order systems: A reaching phase free approach. Asian Journal of Control, Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) 2019, ⟨10.1002/asjc.2223⟩. ⟨hal-02433993⟩

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