Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach
This work discuss the robust stabilization problem for discrete-time switched singular systems with simultaneous presence of time-varying delay and sensor nonlinearity. To this end, an observer-based controller was synthesized that works under asynchronous switching signals. Investigating the averag...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/10/19/2334 |
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| author | Mohamed Amin Regaieg Mourad Kchaou Houssem Jerbi Attia Boudjemline Ahmed Hafaifa |
| author_facet | Mohamed Amin Regaieg Mourad Kchaou Houssem Jerbi Attia Boudjemline Ahmed Hafaifa |
| author_sort | Mohamed Amin Regaieg |
| collection | DOAJ |
| description | This work discuss the robust stabilization problem for discrete-time switched singular systems with simultaneous presence of time-varying delay and sensor nonlinearity. To this end, an observer-based controller was synthesized that works under asynchronous switching signals. Investigating the average dwell time approach and using a Lyapunov–Krasovskii functional with triple sum terms, sufficient conditions were derived for achieving the existence of such asynchronous controller and guaranteeing the resulting closed-loop system to be exponentially admissible with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> performance level. Subsequently, the effectiveness of the proposed control scheme was verified through two numerical examples. |
| first_indexed | 2024-03-10T07:04:42Z |
| format | Article |
| id | doaj.art-4e0699ff3b264dcfaf3ed14eac7e3bf4 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T07:04:42Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-4e0699ff3b264dcfaf3ed14eac7e3bf42023-11-22T15:56:12ZengMDPI AGElectronics2079-92922021-09-011019233410.3390/electronics10192334Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time ApproachMohamed Amin Regaieg0Mourad Kchaou1Houssem Jerbi2Attia Boudjemline3Ahmed Hafaifa4MIS Laboratory, University of Picardie Jules Verne, UFR of Sciences, 33 Rue St Leu, 80000 Amiens, FranceCollege of Engineering, University of Hail, Hail P.O. Box 2440, Saudi ArabiaCollege of Engineering, University of Hail, Hail P.O. Box 2440, Saudi ArabiaCollege of Engineering, University of Hail, Hail P.O. Box 2440, Saudi ArabiaApplied Automation and Industrial Diagnostics Laboratory, Faculty of Science and Technology, University of Djelfa, Djelfa 17000, DZ, AlgeriaThis work discuss the robust stabilization problem for discrete-time switched singular systems with simultaneous presence of time-varying delay and sensor nonlinearity. To this end, an observer-based controller was synthesized that works under asynchronous switching signals. Investigating the average dwell time approach and using a Lyapunov–Krasovskii functional with triple sum terms, sufficient conditions were derived for achieving the existence of such asynchronous controller and guaranteeing the resulting closed-loop system to be exponentially admissible with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> performance level. Subsequently, the effectiveness of the proposed control scheme was verified through two numerical examples.https://www.mdpi.com/2079-9292/10/19/2334switched systemshybrid systemstime-varying delayobserver controlaverage dwell time<i>H</i><sub>∞</sub> performance |
| spellingShingle | Mohamed Amin Regaieg Mourad Kchaou Houssem Jerbi Attia Boudjemline Ahmed Hafaifa Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach Electronics switched systems hybrid systems time-varying delay observer control average dwell time <i>H</i><sub>∞</sub> performance |
| title | Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach |
| title_full | Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach |
| title_fullStr | Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach |
| title_full_unstemmed | Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach |
| title_short | Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach |
| title_sort | robust asynchronous i h i sub ∞ sub observer based control design for discrete time switched singular systems with time varying delay and sensor saturation an average dwell time approach |
| topic | switched systems hybrid systems time-varying delay observer control average dwell time <i>H</i><sub>∞</sub> performance |
| url | https://www.mdpi.com/2079-9292/10/19/2334 |
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