Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty
This paper proposes a robust supertwisting algorithm (STA) design for nonlinear systems where both matched and unmatched uncertainties are considered. The main contributions reside primarily to conceive a novel structure of STA, in order to ensure the desired performance of the uncertain nonlinear s...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/1972921 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553303605510144 |
|---|---|
| author | Marwa Jouini Slim Dhahri Anis Sellami |
| author_facet | Marwa Jouini Slim Dhahri Anis Sellami |
| author_sort | Marwa Jouini |
| collection | DOAJ |
| description | This paper proposes a robust supertwisting algorithm (STA) design for nonlinear systems where both matched and unmatched uncertainties are considered. The main contributions reside primarily to conceive a novel structure of STA, in order to ensure the desired performance of the uncertain nonlinear system. The modified algorithm is formed of double closed-loop feedback, in which two linear terms are added to the classical STA. In addition, an integral sliding mode switching surface is proposed to construct the attractiveness and reachability of sliding mode. Sufficient conditions are derived to guarantee the exact differentiation stability in finite time based on Lyapunov function theory. Finally, a comparative study for a variable-length pendulum system illustrates the robustness and the effectiveness of the proposed approach compared to other STA schemes. |
| format | Article |
| id | doaj-art-f8140ba44e8d4210ab014a6e05b1b5fa |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-f8140ba44e8d4210ab014a6e05b1b5fa2025-02-03T05:54:23ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/19729211972921Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched UncertaintyMarwa Jouini0Slim Dhahri1Anis Sellami2Laboratory of Engineering of Industrial System and Renewable Energy (LISIER), Higher National Engineering School of Tunis (ENSIT), 5 Avenue Taha Hussein, BP 56, Bab Menara, 1008 Tunis, TunisiaLaboratory of Engineering of Industrial System and Renewable Energy (LISIER), Higher National Engineering School of Tunis (ENSIT), 5 Avenue Taha Hussein, BP 56, Bab Menara, 1008 Tunis, TunisiaLaboratory of Engineering of Industrial System and Renewable Energy (LISIER), Higher National Engineering School of Tunis (ENSIT), 5 Avenue Taha Hussein, BP 56, Bab Menara, 1008 Tunis, TunisiaThis paper proposes a robust supertwisting algorithm (STA) design for nonlinear systems where both matched and unmatched uncertainties are considered. The main contributions reside primarily to conceive a novel structure of STA, in order to ensure the desired performance of the uncertain nonlinear system. The modified algorithm is formed of double closed-loop feedback, in which two linear terms are added to the classical STA. In addition, an integral sliding mode switching surface is proposed to construct the attractiveness and reachability of sliding mode. Sufficient conditions are derived to guarantee the exact differentiation stability in finite time based on Lyapunov function theory. Finally, a comparative study for a variable-length pendulum system illustrates the robustness and the effectiveness of the proposed approach compared to other STA schemes.http://dx.doi.org/10.1155/2017/1972921 |
| spellingShingle | Marwa Jouini Slim Dhahri Anis Sellami Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty Complexity |
| title | Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty |
| title_full | Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty |
| title_fullStr | Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty |
| title_full_unstemmed | Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty |
| title_short | Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty |
| title_sort | design of robust supertwisting algorithm based second order sliding mode controller for nonlinear systems with both matched and unmatched uncertainty |
| url | http://dx.doi.org/10.1155/2017/1972921 |
| work_keys_str_mv | AT marwajouini designofrobustsupertwistingalgorithmbasedsecondorderslidingmodecontrollerfornonlinearsystemswithbothmatchedandunmatcheduncertainty AT slimdhahri designofrobustsupertwistingalgorithmbasedsecondorderslidingmodecontrollerfornonlinearsystemswithbothmatchedandunmatcheduncertainty AT anissellami designofrobustsupertwistingalgorithmbasedsecondorderslidingmodecontrollerfornonlinearsystemswithbothmatchedandunmatcheduncertainty |