Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator
The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/9/1084 |
| _version_ | 1817996987558002688 |
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| author | Hafsaa Rachid Ouarda Lamrabet El Houssaine Tissir |
| author_facet | Hafsaa Rachid Ouarda Lamrabet El Houssaine Tissir |
| author_sort | Hafsaa Rachid |
| collection | DOAJ |
| description | The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employing the scaled small-gain theorem, the Lyapunov−Krasovskii functional, and Wirtinger’s integral inequality, sufficient conditions for the synthesis of an anti-windup compensator are presented in the form of linear matrix inequalities (LMIs). The estimated domain of attraction is maximized by an optimization algorithm. Numerical examples are studied to show the merits of the proposed technique. |
| first_indexed | 2024-04-14T02:31:37Z |
| format | Article |
| id | doaj.art-ee8f28a2bc43445e804565460be639ce |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T02:31:37Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-ee8f28a2bc43445e804565460be639ce2022-12-22T02:17:40ZengMDPI AGSymmetry2073-89942019-08-01119108410.3390/sym11091084sym11091084Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup CompensatorHafsaa Rachid0Ouarda Lamrabet1El Houssaine Tissir2LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohammed Ben Abdellah, Fes B.P. 1796, Fes-Atlas 30000, MoroccoLESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohammed Ben Abdellah, Fes B.P. 1796, Fes-Atlas 30000, MoroccoLESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohammed Ben Abdellah, Fes B.P. 1796, Fes-Atlas 30000, MoroccoThe design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employing the scaled small-gain theorem, the Lyapunov−Krasovskii functional, and Wirtinger’s integral inequality, sufficient conditions for the synthesis of an anti-windup compensator are presented in the form of linear matrix inequalities (LMIs). The estimated domain of attraction is maximized by an optimization algorithm. Numerical examples are studied to show the merits of the proposed technique.https://www.mdpi.com/2073-8994/11/9/1084delta operator systemactuator saturationanti-windup compensatorscaled small gain theorem |
| spellingShingle | Hafsaa Rachid Ouarda Lamrabet El Houssaine Tissir Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator Symmetry delta operator system actuator saturation anti-windup compensator scaled small gain theorem |
| title | Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator |
| title_full | Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator |
| title_fullStr | Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator |
| title_full_unstemmed | Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator |
| title_short | Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator |
| title_sort | stabilization of delta operator systems with actuator saturation via an anti windup compensator |
| topic | delta operator system actuator saturation anti-windup compensator scaled small gain theorem |
| url | https://www.mdpi.com/2073-8994/11/9/1084 |
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