Open Access
2014 Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators
Jin Li, Liu Yang
Abstr. Appl. Anal. 2014(SI02): 1-9 (2014). DOI: 10.1155/2014/760937


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.


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Jin Li. Liu Yang. "Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators." Abstr. Appl. Anal. 2014 (SI02) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07023032
MathSciNet: MR3182304
Digital Object Identifier: 10.1155/2014/760937

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI02 • 2014
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