2015
DOI: 10.1109/tie.2015.2449772
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Piezoelectric Nanopositioning Control Using Second-Order Discrete-Time Terminal Sliding-Mode Strategy

Abstract: This paper presents the design of a novel secondorder discrete-time terminal sliding mode control (2-DTSMC) strategy and its application to motion tracking control of a piezoelectric nanopositioning system, which possesses a highorder plant model. The 2-DTSMC strategy is established based on the output feedback only, which eliminates the use of a state observer and facilitates an easy realization. Theoretical analysis proves that the quasi-sliding mode is reached in finite time along with a high accuracy of th… Show more

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Cited by 101 publications
(32 citation statements)
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“…And then, feedback controllers are designed to achieve accurate control. Recently, the commonly used feedback control methods include sliding mode control, neural network control, fuzzy control, or combined control with several controllers [56]- [60]. With the development of computer technology, more and more intelligent control methods will be developed.…”
Section: Precise Motion Platformmentioning
confidence: 99%
“…And then, feedback controllers are designed to achieve accurate control. Recently, the commonly used feedback control methods include sliding mode control, neural network control, fuzzy control, or combined control with several controllers [56]- [60]. With the development of computer technology, more and more intelligent control methods will be developed.…”
Section: Precise Motion Platformmentioning
confidence: 99%
“…In the system, the system actual output signal and the desired signal are y(k) and y * (k) . For the nonlinear system (19), consider the following sliding function [22]:…”
Section: B Data-driven Terminal Sliding Mode Control Designmentioning
confidence: 99%
“…The research on the quick response of nonlinear discrete systems is relatively less than that of continuous systems. A novel second-order discrete-time terminal sliding-mode control (2-DTSMC) strategy for a piezoelectric nanopositioning system has developed in [19]. This method was able to achieve quasi sliding mode convergence in time and has high tracking accuracy.…”
Section: Introductionmentioning
confidence: 99%
“…For the second factor, the positioning accuracy can be seriously deteriorated by the inherent hysteresis nonlinearity of PEAs. To deal with the hysteresis nonlinearity of PEAs, there are various control methods in the literature, such as the inversion-based methods [10], [11], the sliding mode control methods [12]- [15], the active disturbance rejection control [16], [17], and some intelligent control methods [18]- [23]. Although these methods are successfully applied in the control of PEAs, to the best of the authors' knowledge, there is no such an attempt of using these advanced control algorithms to deal with the hysteresis nonlinearity in PASSDs.…”
Section: Driving Objectmentioning
confidence: 99%