Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism
This paper proposes a novel approach to handling random actuator failures in control systems through robust and reliable control techniques. The investigation seeks to establish a framework for assessing the <inline-formula> <tex-math notation="LaTeX">$ l_{2}-l_{\infty } $ <...
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| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10848099/ |
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| author | Rabeh Abbassi Mourad Kchaou Hamdi Gassara Houssem Jerbi |
| author_facet | Rabeh Abbassi Mourad Kchaou Hamdi Gassara Houssem Jerbi |
| author_sort | Rabeh Abbassi |
| collection | DOAJ |
| description | This paper proposes a novel approach to handling random actuator failures in control systems through robust and reliable control techniques. The investigation seeks to establish a framework for assessing the <inline-formula> <tex-math notation="LaTeX">$ l_{2}-l_{\infty } $ </tex-math></inline-formula> stability characteristics of nonlinear Markov jump singularly perturbed systems (MJSPSs) using an output Takagi-Sugeno (TS) fuzzy-based controller. The study focuses on implementing a component-based dynamic event-triggered mechanism (CBDETM), including quantization, to investigate the transmission of the outputs across networked communication channels. The proposed approach is based on the following key attributes: 1) An event-triggered mechanism that establishes a suitable condition for independent signal transmission from each sensor node to the controller; 2) A stochastic failure model that describes actuator failures; 3) A non-stationary Markov chain that reflects the asynchronous relationship between the system and controller modes; 4) A mode-dependent Lyapunov function is used to establish sufficient conditions to show that the resultant closed-loop system is stochastically mean-square stable with a <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula> level of <inline-formula> <tex-math notation="LaTeX">$ l_{2}-l_{\infty } $ </tex-math></inline-formula> performance index; 5) The theoretical findings are validated by a real numerical example of the Van Der Pol circuit, confirming the effectiveness of the proposed strategy. |
| format | Article |
| id | doaj-art-c25352c9500641f8aa9b430aec5e677d |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-c25352c9500641f8aa9b430aec5e677d2025-01-31T00:01:39ZengIEEEIEEE Access2169-35362025-01-0113171201713110.1109/ACCESS.2025.353254610848099Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered MechanismRabeh Abbassi0https://orcid.org/0000-0001-8257-6721Mourad Kchaou1https://orcid.org/0000-0002-6849-1745Hamdi Gassara2Houssem Jerbi3College of Engineering, University of Hail, Hail, Saudi ArabiaCollege of Engineering, University of Hail, Hail, Saudi ArabiaLaboratory of Sciences and Techniques of Automatic Control and Computer Engineering, ENIS, University of Sfax, Sfax, TunisiaCollege of Engineering, University of Hail, Hail, Saudi ArabiaThis paper proposes a novel approach to handling random actuator failures in control systems through robust and reliable control techniques. The investigation seeks to establish a framework for assessing the <inline-formula> <tex-math notation="LaTeX">$ l_{2}-l_{\infty } $ </tex-math></inline-formula> stability characteristics of nonlinear Markov jump singularly perturbed systems (MJSPSs) using an output Takagi-Sugeno (TS) fuzzy-based controller. The study focuses on implementing a component-based dynamic event-triggered mechanism (CBDETM), including quantization, to investigate the transmission of the outputs across networked communication channels. The proposed approach is based on the following key attributes: 1) An event-triggered mechanism that establishes a suitable condition for independent signal transmission from each sensor node to the controller; 2) A stochastic failure model that describes actuator failures; 3) A non-stationary Markov chain that reflects the asynchronous relationship between the system and controller modes; 4) A mode-dependent Lyapunov function is used to establish sufficient conditions to show that the resultant closed-loop system is stochastically mean-square stable with a <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula> level of <inline-formula> <tex-math notation="LaTeX">$ l_{2}-l_{\infty } $ </tex-math></inline-formula> performance index; 5) The theoretical findings are validated by a real numerical example of the Van Der Pol circuit, confirming the effectiveness of the proposed strategy.https://ieeexplore.ieee.org/document/10848099/Markov jump singularly perturbed systemsCBDETMquantizationreliable control |
| spellingShingle | Rabeh Abbassi Mourad Kchaou Hamdi Gassara Houssem Jerbi Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism IEEE Access Markov jump singularly perturbed systems CBDETM quantization reliable control |
| title | Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism |
| title_full | Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism |
| title_fullStr | Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism |
| title_full_unstemmed | Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism |
| title_short | Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism |
| title_sort | reliable quantized fuzzy controller design for nonlinear singularly perturbed systems with markovian jumps and dynamic event triggered mechanism |
| topic | Markov jump singularly perturbed systems CBDETM quantization reliable control |
| url | https://ieeexplore.ieee.org/document/10848099/ |
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