Quantized <italic>l</italic>₂-<italic>l</italic>∞ Control for Nonlinear Discrete-Time Systems With DoS Attacks
The quantitative control problem of nonlinear discrete-time systems under DoS attacks is studied in this paper. The nonlinear part of the system is approximated linearly by T-S fuzzy model. Unknown DoS attacks are defined and modeled in terms of attack frequency and attack duration. By adding dynami...
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2025-01-01
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| author | Ying Tian Ming-Yang Qiao |
| author_facet | Ying Tian Ming-Yang Qiao |
| author_sort | Ying Tian |
| collection | DOAJ |
| description | The quantitative control problem of nonlinear discrete-time systems under DoS attacks is studied in this paper. The nonlinear part of the system is approximated linearly by T-S fuzzy model. Unknown DoS attacks are defined and modeled in terms of attack frequency and attack duration. By adding dynamic system, an intermediate observer is designed to estimate the system states. Dynamic quantizers and controllers are used to quantify and control system signals in different modes, a descriptor representation form of mode-dependent closed-loop control system can be constructed. By defining the mode-dependent Lyapunov function, the design conditions of quantizers and controllers can be obtained to satisfy the system mean-square exponential stability and the desired <inline-formula> <tex-math notation="LaTeX">$l_{2}-l_{\infty }$ </tex-math></inline-formula> performance. Finally, a nonlinear mass-spring-damper mechanical system is used to verify the effectiveness of the method. |
| format | Article |
| id | doaj-art-e43479baf0d242caad928fabb7a8e294 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
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| spelling | doaj-art-e43479baf0d242caad928fabb7a8e2942025-02-06T00:00:36ZengIEEEIEEE Access2169-35362025-01-0113219462195510.1109/ACCESS.2025.353662010858120Quantized <italic>l</italic>₂-<italic>l</italic>∞ Control for Nonlinear Discrete-Time Systems With DoS AttacksYing Tian0Ming-Yang Qiao1https://orcid.org/0000-0002-7145-4937Intelligent Policing Key Laboratory of Sichuan Province, Sichuan Police College, Luzhou, ChinaSchool of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan, ChinaThe quantitative control problem of nonlinear discrete-time systems under DoS attacks is studied in this paper. The nonlinear part of the system is approximated linearly by T-S fuzzy model. Unknown DoS attacks are defined and modeled in terms of attack frequency and attack duration. By adding dynamic system, an intermediate observer is designed to estimate the system states. Dynamic quantizers and controllers are used to quantify and control system signals in different modes, a descriptor representation form of mode-dependent closed-loop control system can be constructed. By defining the mode-dependent Lyapunov function, the design conditions of quantizers and controllers can be obtained to satisfy the system mean-square exponential stability and the desired <inline-formula> <tex-math notation="LaTeX">$l_{2}-l_{\infty }$ </tex-math></inline-formula> performance. Finally, a nonlinear mass-spring-damper mechanical system is used to verify the effectiveness of the method.https://ieeexplore.ieee.org/document/10858120/DoS attacksintermediate observerdynamic quantizationmode-dependent Lyapunov function |
| spellingShingle | Ying Tian Ming-Yang Qiao Quantized <italic>l</italic>₂-<italic>l</italic>∞ Control for Nonlinear Discrete-Time Systems With DoS Attacks IEEE Access DoS attacks intermediate observer dynamic quantization mode-dependent Lyapunov function |
| title | Quantized <italic>l</italic>₂-<italic>l</italic>∞ Control for Nonlinear Discrete-Time Systems With DoS Attacks |
| title_full | Quantized <italic>l</italic>₂-<italic>l</italic>∞ Control for Nonlinear Discrete-Time Systems With DoS Attacks |
| title_fullStr | Quantized <italic>l</italic>₂-<italic>l</italic>∞ Control for Nonlinear Discrete-Time Systems With DoS Attacks |
| title_full_unstemmed | Quantized <italic>l</italic>₂-<italic>l</italic>∞ Control for Nonlinear Discrete-Time Systems With DoS Attacks |
| title_short | Quantized <italic>l</italic>₂-<italic>l</italic>∞ Control for Nonlinear Discrete-Time Systems With DoS Attacks |
| title_sort | quantized italic l italic x2082 italic l italic x221e control for nonlinear discrete time systems with dos attacks |
| topic | DoS attacks intermediate observer dynamic quantization mode-dependent Lyapunov function |
| url | https://ieeexplore.ieee.org/document/10858120/ |
| work_keys_str_mv | AT yingtian quantizeditaliclitalicx2082italiclitalicx221econtrolfornonlineardiscretetimesystemswithdosattacks AT mingyangqiao quantizeditaliclitalicx2082italiclitalicx221econtrolfornonlineardiscretetimesystemswithdosattacks |