Model-Free Output-Feedback Sliding-Mode Control Design for Piezo-Actuated Stage

Abstract

Hysteresis in a piezoelectric actuator must be compensated for, and this compensation constitutes the main challenge in the high-precision motion control of piezo-actuated stages. This paper presents an output-feedback sliding-mode control (SMC) scheme to suppress unknown nonlinearity; in this scheme, hysteresis behavior is considered an external disturbance, and complex hysteresis models are thus not required. The scheme functions in the absence of transfer function of system state information, and a robust loop-transfer recovery observer is employed as a noise-free differentiator to estimate the required signal derivatives when the relevant system is in a noisy environment.

Stability Compensation Design and Analysis of a Piezoelectric Ceramic Driver with an Emitter Follower Stage

“…Zhou et al and Yu et al proposed modified Prandtl–Ishlinskii models to compensate for the asymmetric and rate-dependent hysteresis of piezoelectric ceramic [ 17 , 18 ]. Yeh et al presented an output-feedback sliding-mode control scheme to suppress the unknown nonlinearity of piezoelectric ceramic to avoid complex hysteresis models [ 19 ]. Zhang et al studied the rate-dependent hysteresis of piezoelectric ceramic, and designed a hybrid adaptive controller for a piezo-actuated stage for accurate positioning [ 20 ].…”