<i>H</i><sub>∞</sub> Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation
In this study, we investigate the <i>H</i><sub>∞</sub> fault-tolerant control problem for a discrete-time singular system which is subject to external disturbances, actuator faults, and sensor saturation. By assuming that the state variable of the system is unavailable for me...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Actuators |
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| Online Access: | https://www.mdpi.com/2076-0825/10/8/196 |
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| author | Mourad Kchaou Houssem Jerbi Naim Ben Ali Haitham Alsaif |
| author_facet | Mourad Kchaou Houssem Jerbi Naim Ben Ali Haitham Alsaif |
| author_sort | Mourad Kchaou |
| collection | DOAJ |
| description | In this study, we investigate the <i>H</i><sub>∞</sub> fault-tolerant control problem for a discrete-time singular system which is subject to external disturbances, actuator faults, and sensor saturation. By assuming that the state variable of the system is unavailable for measurement, and the actuator fault can be described by a Markovian jump process, attention is mainly focused on designing a reliable dynamic output-feedback (DOF) controller able to compensate for the effects of the aforementioned factors on the system stability and performance. Based on the sector non-linear approach to handle the sensor saturation, a new criterion is established to ensure that the closed-loop system is stochastically admissible with a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>γ</mo></semantics></math></inline-formula> level of the <i>H</i><sub>∞</sub> disturbance rejection performance. The main aim of this work is to develop a procedure for synthesizing the controller gains without any model transformation or decomposition of the output matrix. Therefore, by introducing a slack variable, the <i>H</i><sub>∞</sub> admissibility criterion is successfully transformed in terms of strict linear matrix inequalities (LMIs). Three practical examples are exploited to test the feasibility and effectiveness of the proposed approach. |
| first_indexed | 2024-03-10T09:06:12Z |
| format | Article |
| id | doaj.art-55345a0b4acd407594fb5792659f1745 |
| institution | Directory Open Access Journal |
| issn | 2076-0825 |
| language | English |
| last_indexed | 2024-03-10T09:06:12Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Actuators |
| spelling | doaj.art-55345a0b4acd407594fb5792659f17452023-11-22T06:21:26ZengMDPI AGActuators2076-08252021-08-0110819610.3390/act10080196<i>H</i><sub>∞</sub> Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor SaturationMourad Kchaou0Houssem Jerbi1Naim Ben Ali2Haitham Alsaif3Department of Electrical Engineering, College of Engineering, University of Hail, Hail 2440, Saudi ArabiaDepartment of Industrial Engineering, College of Engineering, University of Hail, Hail 2440, Saudi ArabiaDepartment of Industrial Engineering, College of Engineering, University of Hail, Hail 2440, Saudi ArabiaDepartment of Electrical Engineering, College of Engineering, University of Hail, Hail 2440, Saudi ArabiaIn this study, we investigate the <i>H</i><sub>∞</sub> fault-tolerant control problem for a discrete-time singular system which is subject to external disturbances, actuator faults, and sensor saturation. By assuming that the state variable of the system is unavailable for measurement, and the actuator fault can be described by a Markovian jump process, attention is mainly focused on designing a reliable dynamic output-feedback (DOF) controller able to compensate for the effects of the aforementioned factors on the system stability and performance. Based on the sector non-linear approach to handle the sensor saturation, a new criterion is established to ensure that the closed-loop system is stochastically admissible with a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>γ</mo></semantics></math></inline-formula> level of the <i>H</i><sub>∞</sub> disturbance rejection performance. The main aim of this work is to develop a procedure for synthesizing the controller gains without any model transformation or decomposition of the output matrix. Therefore, by introducing a slack variable, the <i>H</i><sub>∞</sub> admissibility criterion is successfully transformed in terms of strict linear matrix inequalities (LMIs). Three practical examples are exploited to test the feasibility and effectiveness of the proposed approach.https://www.mdpi.com/2076-0825/10/8/196discrete singular systemactuator failuresensor saturationreliable dynamic output feedback<i>H</i><sub>∞</sub> control |
| spellingShingle | Mourad Kchaou Houssem Jerbi Naim Ben Ali Haitham Alsaif <i>H</i><sub>∞</sub> Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation Actuators discrete singular system actuator failure sensor saturation reliable dynamic output feedback <i>H</i><sub>∞</sub> control |
| title | <i>H</i><sub>∞</sub> Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation |
| title_full | <i>H</i><sub>∞</sub> Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation |
| title_fullStr | <i>H</i><sub>∞</sub> Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation |
| title_full_unstemmed | <i>H</i><sub>∞</sub> Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation |
| title_short | <i>H</i><sub>∞</sub> Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation |
| title_sort | i h i sub ∞ sub reliable dynamic output feedback controller design for discrete time singular systems with sensor saturation |
| topic | discrete singular system actuator failure sensor saturation reliable dynamic output feedback <i>H</i><sub>∞</sub> control |
| url | https://www.mdpi.com/2076-0825/10/8/196 |
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