In this paper, a novel global nonsingular fast terminal sliding mode control (GNFTSMC) method based on linear extended state observer (LESO) is proposed for Aerodynamic Heat Simulation Heating System (AHSHS). The global nonsingular fast terminal sliding mode surface (GNFTSMS), comprising constant reaching law and LESO, establishes a closed-loop control for the whole control process. Firstly, the designed GNFTSMS eliminates the reaching stage, so that the whole control process is confined on the sliding mode surface. The fast term and nonsingular term ensure convergence speed in the sliding phase, and eliminate the singularity and suppress the chattering phenomenon. Then, the constant reaching law can effectively solve the problem of convergence stagnation in the control process and further accelerate the convergence speed. Then, LESO can feed back the observation of input disturbances and external disturbances to the control system. Furthermore, Lyapunov stability theorem is utilized to prove the stability of the closed-loop system. Finally, the simulation results verify that the proposed GNFTSMC method based on LESO is superior.
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.
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