Super Twisting Nonlinear Fractional Order Sliding Mode Control of Aerodynamic Heat Simulation Heating System Based on Time Delay Estimation

Abstract

Abstract This paper proposes a novel super twisting nonlinear fractional order sliding mode control (STNFOSMC) method based on time delay estimation (TDE) for Aerodynamic Heat Simulation Heating System (AHSHS). Firstly, based on uncertainties and external disturbances of AHSHS, TDE is an observation. Secondly, the nonlinear function, fractional differentiation and fractional integration are added into the sliding mode surface for improving the control quality of sliding stage, and the super twisting approach rate accelerates the control speed and weakens the chattering phenomenon in the arrival phase. Then, a Lyapunov function is utilized to prove the stability of the control method. Finally, compared with the traditional PID, the superiority of the proposed control method is verified.