Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data
This paper examines the fault-tolerant control problem for discrete-time descriptor systems that are susceptible to intermittent actuator failures, nonlinear sensor data, and probability-based missing data. The discrete-time non-homogeneous Markov chain was adopted to describe the stochastic behavio...
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MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/11/1872 |
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| author | Mourad Kchaou Houssem Jerbi Dan Stefanoiu Dumitru Popescu |
| author_facet | Mourad Kchaou Houssem Jerbi Dan Stefanoiu Dumitru Popescu |
| author_sort | Mourad Kchaou |
| collection | DOAJ |
| description | This paper examines the fault-tolerant control problem for discrete-time descriptor systems that are susceptible to intermittent actuator failures, nonlinear sensor data, and probability-based missing data. The discrete-time non-homogeneous Markov chain was adopted to describe the stochastic behavior of actuator faults. Moreover, Bernoulli-distributed stochastic variables with known conditional probabilities were employed to describe the practical features of random sensor non-linearity and missing data. In this study, the output signals were quantized and a dynamic output feedback controller was synthesized such that the closed-loop system was stochastically admissible and satisfied the strictly <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="bold">Q</mi><mo>,</mo><mi mathvariant="bold">S</mi><mo>,</mo><mi mathvariant="bold">R</mi><mo>)</mo></mrow></semantics></math></inline-formula>-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-dissipative performance index. The theoretical developments are illustrated through numerical simulations of an infinite machine bus. |
| first_indexed | 2024-03-10T01:06:54Z |
| format | Article |
| id | doaj.art-e52d807a6a4c4a7bb7063f52b359b0e1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:06:54Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e52d807a6a4c4a7bb7063f52b359b0e12023-11-23T14:26:05ZengMDPI AGMathematics2227-73902022-05-011011187210.3390/math10111872Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing DataMourad Kchaou0Houssem Jerbi1Dan Stefanoiu2Dumitru Popescu3Department of Electrical Engineering, College of Engineering, University of Ha’il, Hail 2440, Saudi ArabiaDepartment of Industrial Engineering, College of Engineering, University of Ha’il, Hail 2440, Saudi ArabiaFaculty of Automatic Control and Computers, Politehnica University of Bucharest, 030018 Bucharest, RomaniaFaculty of Automatics and Computers, University Politehnica of Bucharest, 060042 Bucuresti, RomaniaThis paper examines the fault-tolerant control problem for discrete-time descriptor systems that are susceptible to intermittent actuator failures, nonlinear sensor data, and probability-based missing data. The discrete-time non-homogeneous Markov chain was adopted to describe the stochastic behavior of actuator faults. Moreover, Bernoulli-distributed stochastic variables with known conditional probabilities were employed to describe the practical features of random sensor non-linearity and missing data. In this study, the output signals were quantized and a dynamic output feedback controller was synthesized such that the closed-loop system was stochastically admissible and satisfied the strictly <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="bold">Q</mi><mo>,</mo><mi mathvariant="bold">S</mi><mo>,</mo><mi mathvariant="bold">R</mi><mo>)</mo></mrow></semantics></math></inline-formula>-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-dissipative performance index. The theoretical developments are illustrated through numerical simulations of an infinite machine bus.https://www.mdpi.com/2227-7390/10/11/1872intermittent actuator faultsMarkov processprobabilistic missing datarandomly occurring sensor non-linearityoutput feedback controldissipativity |
| spellingShingle | Mourad Kchaou Houssem Jerbi Dan Stefanoiu Dumitru Popescu Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data Mathematics intermittent actuator faults Markov process probabilistic missing data randomly occurring sensor non-linearity output feedback control dissipativity |
| title | Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data |
| title_full | Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data |
| title_fullStr | Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data |
| title_full_unstemmed | Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data |
| title_short | Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data |
| title_sort | quantized fault tolerant control for descriptor systems with intermittent actuator faults randomly occurring sensor non linearity and missing data |
| topic | intermittent actuator faults Markov process probabilistic missing data randomly occurring sensor non-linearity output feedback control dissipativity |
| url | https://www.mdpi.com/2227-7390/10/11/1872 |
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