Finite-time terminal sliding mode tracking control for piezoelectric actuators
type: Item
instance of: scholarly article
title: Finite-time terminal sliding mode tracking control for piezoelectric actuators
zbMATH Open document ID: 1406.93075
DOI: 10.1155/2014/760937
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper proposes a continuous finite-time control scheme using a new form of terminal sliding mode (TSM) combined with a sliding mode disturbance observer (SMDO). The proposed controller is applied for nanopositioning of piezoelectric actuators (PEAs). Nonlinearities, mainly hysteresis, can drastically degrade the system performance. Same as the model imperfection, hysteresis can also be treated as uncertainties of the system. These uncertainties can be addressed by terminal sliding mode control (TSMC) for it is promising for positioning and tracking control. To further improve the robustness of the TSM controller, the SMDO is employed to estimate the bounded disturbances and uncertainties. The robust stability of the TSMC is proved through a Lyapunov stability analysis. Simulation results demonstrate the effectiveness of the proposed TSM/SMDO controller for both positioning and tracking applications. The fast response, few chattering, and high precision positioning and tracking performances can be achieved in finite time by the proposed controller.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7023032
zbMATH Keywords: sliding mode tracking control
zbMATH Keywords: finite-time terminal tracking control
zbMATH Keywords: piezoelectric actuators
zbMATH Keywords: Lyapunov stability
Wikidata QID: Q59041302
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/760937
OpenAlex ID: W2146073572
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description: scientific article; zbMATH DE number 7023032