High-Order Nonsingular Fast Integral Terminal Sliding Mode Control With Perturbation Estimation for a Class of Nonlinear Hysteresis Systems

In this article, a high-order nonsingular fast integral terminal sliding mode control (HONFITSMC) scheme based on perturbation estimation technology is proposed for a class of nonlinear hysteresis systems. Initially, a mathematical model is introduced to characterize the hysteresis behavior in nonlinear systems. Additionally, an inverse model is constructed for feedforward compensation to mitigate hysteresis effects. The perturbation estimation technique is utilized to effectively manage external disturbances, compensation errors, and modeling inaccuracies, without requiring prior knowledge of their bounds. The combination of nonsingular fast integral terminal sliding mode and disturbance estimation ensures finite-time convergence of tracking error and enhances system robustness. Experimental validation, conducted on a piezoelectric positioning platform, confirms the effectiveness of our proposed strategy.