Quantized fault-tolerant pinning control for finite-time H∞ synchronization of T-S fuzzy discrete Markovian-jump complex networks subject to heterogeneous delays
This paper investigates the finite-time ℋ ∞ pinning synchronization problem for a class of T-S fuzzy discrete Markovian-jump complex networks (TSFDMCNs) influenced by heterogeneous delays. The evolution of system parameters follows the Markov jump process according to a transition probability matrix...
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| Published in | Physica scripta Vol. 98; no. 12; pp. 125215 - 125238 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
01.12.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0031-8949 1402-4896 |
| DOI | 10.1088/1402-4896/ad0330 |
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| Abstract | This paper investigates the finite-time
ℋ
∞
pinning synchronization problem for a class of T-S fuzzy discrete Markovian-jump complex networks (TSFDMCNs) influenced by heterogeneous delays. The evolution of system parameters follows the Markov jump process according to a transition probability matrix with partly unknown elements. Based on the system state output, quantized fault-tolerant pinning controller (QFTPC) is designed to overcome communication limitations and varying actuator fault. Besides, the asynchronous signal generated by the hidden Markov model is employed in controller to make full use of received information. A novel mode-dependent Lyapunov- Krasovskii functional (LKF) is established to guarantee the error system mean-square finite-time bounded with the prescribed
ℋ
∞
performance. In order to reduce conservatism of derived results, an improved Wirtinger-based inequality technique is applied in considering both lower and upper bounds of different delay. Finally, simulation examples illustrate the effectiveness and meliority of the proposed theoretical methods. |
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| AbstractList | This paper investigates the finite-time
ℋ
∞
pinning synchronization problem for a class of T-S fuzzy discrete Markovian-jump complex networks (TSFDMCNs) influenced by heterogeneous delays. The evolution of system parameters follows the Markov jump process according to a transition probability matrix with partly unknown elements. Based on the system state output, quantized fault-tolerant pinning controller (QFTPC) is designed to overcome communication limitations and varying actuator fault. Besides, the asynchronous signal generated by the hidden Markov model is employed in controller to make full use of received information. A novel mode-dependent Lyapunov- Krasovskii functional (LKF) is established to guarantee the error system mean-square finite-time bounded with the prescribed
ℋ
∞
performance. In order to reduce conservatism of derived results, an improved Wirtinger-based inequality technique is applied in considering both lower and upper bounds of different delay. Finally, simulation examples illustrate the effectiveness and meliority of the proposed theoretical methods. |
| Author | Wu, Rili Wang, Yaonan Huang, Lihong Zhang, Yuchong Wu, Xiru |
| Author_xml | – sequence: 1 givenname: Xiru surname: Wu fullname: Wu, Xiru organization: Guilin University of Electronic Technology School of Electronic Engineering and Automation, Guilin 541004, People’s Republic of China – sequence: 2 givenname: Rili orcidid: 0009-0006-9535-1218 surname: Wu fullname: Wu, Rili organization: Guilin University of Electronic Technology School of Electronic Engineering and Automation, Guilin 541004, People’s Republic of China – sequence: 3 givenname: Yuchong orcidid: 0000-0003-2140-4381 surname: Zhang fullname: Zhang, Yuchong organization: Guilin University of Electronic Technology School of Electronic Engineering and Automation, Guilin 541004, People’s Republic of China – sequence: 4 givenname: Yaonan surname: Wang fullname: Wang, Yaonan organization: Hunan University College of Electrical and Information Engineering, Changsha 410114, People’s Republic of China – sequence: 5 givenname: Lihong surname: Huang fullname: Huang, Lihong organization: Changsha University Department of Mathematics and Computer Science, Changsha 410022, People’s Republic of China |
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| Snippet | This paper investigates the finite-time
ℋ
∞
pinning synchronization problem for a class of T-S fuzzy discrete Markovian-jump complex networks (TSFDMCNs)... |
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| SubjectTerms | fault-tolerant control finite-time H∞ synchronization heterogeneous delays Markovian-jump parameters T-S fuzzy complex networks |
| Title | Quantized fault-tolerant pinning control for finite-time H∞ synchronization of T-S fuzzy discrete Markovian-jump complex networks subject to heterogeneous delays |
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