标题：An adaptive integral sliding mode control approach for piezoelectric nano-manipulation with optimal transient performance
作者：Zhang, Yangming; Yan, Peng
作者机构：[Zhang, Yangming; Yan, Peng] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100083, Peoples R China.; [Yan, Peng] Shandong Univ, Key Lab High E 更多
通讯作者地址：[Yan, P]Shandong Univ, Key Lab High Efficiency & Clean Mech Manufacture, Minist Educ, Sch Mech Engn, Jinan 250061, Shandong, Peoples R China.
关键词：Piezoelectric actuator; Nano-manipulation; Adaptive control; Sliding; mode control; Hysteresis
摘要：This paper presents a control framework supporting high precision tracking of a piezoelectric nano-manipulating system with guaranteed transient performance, where a modified dynamic model describing the hysteresis behavior is also proposed. To achieve the desired optimal transient performance, a dynamic hysteresis compensation based control approach is developed by employing robust adaptive integral sliding mode control technique to accommodate both hysteresis nonlinearities and model uncertainties. An adaptive law is designed to estimate the gain of the integral sliding mode controller such that the chattering behavior is alleviated and the upper bound of uncertainties is no longer required a priori. In particular, it can be proved that the tracking error converges to zero in a finite time. The proposed control architecture is applied to a PZT actuated nano-manipulating stage, where real time implementations demonstrate excellent tracking performance with tracking error around 4.6 parts per thousand for multi-frequency trajectory tracking experiments. Comparisons with existing results are also given, where significant improvements are achieved in various tracking scenarios.