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

Shyam Kamal (1) , Rahul Kumar Sharma (1) , Thach Ngoc Dinh (2) , Harikrishnan Ms (3) , Bijnan Bandyopadhyay (3)

1 BHU - Banaras Hindu University [Varanasi]
2 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
3 IIT Bombay - Indian Institute of Technology Bombay

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.

Domains: Engineering Sciences [physics]; Automatic

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, 2019, ⟨10.1002/asjc.2223⟩. ⟨hal-02433993⟩