Abstract
This chapter presents the design and implementation of an input–output-based digital sliding-mode control (IODSMC) algorithm to suppress the nonlinearity and disturbance in piezoelectric micro-/nano-positioning systems. It is applicable to precision motion tracking of a class of micro-/naon-positioning systems, which can be described by a high-order linear model preceded by disturbances. The stability of the control system is proved and its effectiveness is validated through experimental investigations on a piezo-driven micropositioning system.
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References
Mitic, D., Milosavljevic, C.: Sliding mode-based minimum variance and generalized minimum variance controls with \({O(T^2)}\) and \({O(T^3)}\) accuracy. Electr. Eng. 86(4), 229–237 (2004)
Sha, D., Bajic, V.B.: Robust discrete adaptive input-output-based sliding mode controller. Int. J. Syst. Sci. 31(12), 1601–1614 (2000)
Sha, D., Bajic, V.B., Yang, H.: New model and sliding mode control of hydraulic elevator velocity tracking system. Simul. Pract. Theory 9(6), 365–385 (2002)
Xu, J.X., Abidi, K.: Discrete-time output integral sliding-mode control for a piezomotor-driven linear motion stage. IEEE Trans. Ind. Electron. 55(11), 3917–3926 (2008)
Xu, Q., Li, Y.: Micro-/nanopositioning using model predictive output integral discrete sliding mode control. IEEE Trans. Ind. Electron. 59(2), 1161–1170 (2012)
Xu, Q., Li, Y.: Model predictive discrete-time sliding mode control of a nanopositioning piezostage without modeling hysteresis. IEEE Trans. Control Syst. Technol. 20(4), 983–994 (2012)
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Xu, Q., Tan, K.K. (2016). Digital Sliding-Mode Control of High-Order Systems. In: Advanced Control of Piezoelectric Micro-/Nano-Positioning Systems. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-319-21623-2_7
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DOI: https://doi.org/10.1007/978-3-319-21623-2_7
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-21622-5
Online ISBN: 978-3-319-21623-2
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