Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators
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 drast...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/760937 |
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| author | Jin Li Liu Yang |
| author_facet | Jin Li Liu Yang |
| author_sort | Jin Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b91e0aedcfbe4b3eb17a72112a4c6224 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b91e0aedcfbe4b3eb17a72112a4c62242025-02-03T01:23:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/760937760937Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric ActuatorsJin Li0Liu Yang1College of Automation, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaCollege of Automation, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaThis 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.http://dx.doi.org/10.1155/2014/760937 |
| spellingShingle | Jin Li Liu Yang Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators Abstract and Applied Analysis |
| title | Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators |
| title_full | Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators |
| title_fullStr | Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators |
| title_full_unstemmed | Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators |
| title_short | Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators |
| title_sort | finite time terminal sliding mode tracking control for piezoelectric actuators |
| url | http://dx.doi.org/10.1155/2014/760937 |
| work_keys_str_mv | AT jinli finitetimeterminalslidingmodetrackingcontrolforpiezoelectricactuators AT liuyang finitetimeterminalslidingmodetrackingcontrolforpiezoelectricactuators |