Global Nonsingular Fast Terminal Sliding Mode Control of Aerodynamic Heat Simulation Heating System Based on Linear Extended State Observer

Abstract

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.