Fast fixed-time adaptive sliding mode control for a piezoelectric-actuated micro-motion stage
摘要
Piezoelectric actuated micro motion stages (PAMMS) are widely used for high precision positioning, precision measurement and manufacturing, and optical path adjustment due to their high accuracy, fast response, and good repeatability. However, the fast convergence of the control method and the practical application of PAMMSs are challenging due to the strong nonlinear characteristics and external disturbances in the application environment. To overcome these difficulties, a fast fixed-time adaptive sliding mode control method is proposed. Specifically, the sliding mode control consists of a fast fixed-time nonlinear sliding mode surface and a fast sliding mode convergence law. The adaptive control is proposed not only to satisfy the need for real-time parameter adjustment in practical applications, but also to mitigate the chattering of the sliding mode surface. The fast fixed-time stability is analysed using the Lyapunov theorem. Finally, the proposed control method has been implemented on an ARM-based platform. Comparative experimental results show excellent dynamic tracking performance, steady-state performance and robustness to lumped disturbances, providing a reliable reference for engineering applications.