Non-Fragile H<sub>∞</sub> Deconvolution Filter Design for Uncertain Two-Dimensional Markovian Jump Systems With State-Varying Delays
This paper addresses the problem of non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filtering for two-dimensional (2-D) Markovian jump systems with state-varying delays and norm-bounded uncertain terms...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2025-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10851272/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832540523755208704 |
|---|---|
| author | Yakufu Kasimu Gulijiamali Maimaitiaili |
| author_facet | Yakufu Kasimu Gulijiamali Maimaitiaili |
| author_sort | Yakufu Kasimu |
| collection | DOAJ |
| description | This paper addresses the problem of non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filtering for two-dimensional (2-D) Markovian jump systems with state-varying delays and norm-bounded uncertain terms. First, 2-D Markovian jump systems are modeled by using Fornasini-Marchesini (FM) model. Based on this system, a 2-D non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filter is designed. Second, by utilizing 2-D Lyapunov stability theory, stability criteria are derived to ensure that the filtering error system remains stochastically stable and satisfies the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance level <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula>. Furthermore, sufficient conditions for the mode and delay dependence of the non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filter, as well as mode-dependent filter parameters, are achieved by using the linear matrix inequality (LMI) methods. Finally, the feasibility and effectiveness of the proposed non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filtering scheme are further demonstrated by an image denoising experiment. |
| format | Article |
| id | doaj-art-46bfae64cd66401b970b700809e9ed7d |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-46bfae64cd66401b970b700809e9ed7d2025-02-05T00:00:47ZengIEEEIEEE Access2169-35362025-01-0113188631887710.1109/ACCESS.2025.353302510851272Non-Fragile H<sub>∞</sub> Deconvolution Filter Design for Uncertain Two-Dimensional Markovian Jump Systems With State-Varying DelaysYakufu Kasimu0https://orcid.org/0009-0008-4367-0721Gulijiamali Maimaitiaili1School of Mathematics Science, Xinjiang Normal University, Urumqi, Xinjiang, ChinaSchool of Mathematics Science, Xinjiang Normal University, Urumqi, Xinjiang, ChinaThis paper addresses the problem of non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filtering for two-dimensional (2-D) Markovian jump systems with state-varying delays and norm-bounded uncertain terms. First, 2-D Markovian jump systems are modeled by using Fornasini-Marchesini (FM) model. Based on this system, a 2-D non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filter is designed. Second, by utilizing 2-D Lyapunov stability theory, stability criteria are derived to ensure that the filtering error system remains stochastically stable and satisfies the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance level <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula>. Furthermore, sufficient conditions for the mode and delay dependence of the non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filter, as well as mode-dependent filter parameters, are achieved by using the linear matrix inequality (LMI) methods. Finally, the feasibility and effectiveness of the proposed non-fragile <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> deconvolution filtering scheme are further demonstrated by an image denoising experiment.https://ieeexplore.ieee.org/document/10851272/Parameter uncertainties2-D Markovian jump systemsnon-fragile H∞ deconvolution filterimage denoising |
| spellingShingle | Yakufu Kasimu Gulijiamali Maimaitiaili Non-Fragile H<sub>∞</sub> Deconvolution Filter Design for Uncertain Two-Dimensional Markovian Jump Systems With State-Varying Delays IEEE Access Parameter uncertainties 2-D Markovian jump systems non-fragile H∞ deconvolution filter image denoising |
| title | Non-Fragile H<sub>∞</sub> Deconvolution Filter Design for Uncertain Two-Dimensional Markovian Jump Systems With State-Varying Delays |
| title_full | Non-Fragile H<sub>∞</sub> Deconvolution Filter Design for Uncertain Two-Dimensional Markovian Jump Systems With State-Varying Delays |
| title_fullStr | Non-Fragile H<sub>∞</sub> Deconvolution Filter Design for Uncertain Two-Dimensional Markovian Jump Systems With State-Varying Delays |
| title_full_unstemmed | Non-Fragile H<sub>∞</sub> Deconvolution Filter Design for Uncertain Two-Dimensional Markovian Jump Systems With State-Varying Delays |
| title_short | Non-Fragile H<sub>∞</sub> Deconvolution Filter Design for Uncertain Two-Dimensional Markovian Jump Systems With State-Varying Delays |
| title_sort | non fragile h sub x221e sub deconvolution filter design for uncertain two dimensional markovian jump systems with state varying delays |
| topic | Parameter uncertainties 2-D Markovian jump systems non-fragile H∞ deconvolution filter image denoising |
| url | https://ieeexplore.ieee.org/document/10851272/ |
| work_keys_str_mv | AT yakufukasimu nonfragilehsubx221esubdeconvolutionfilterdesignforuncertaintwodimensionalmarkovianjumpsystemswithstatevaryingdelays AT gulijiamalimaimaitiaili nonfragilehsubx221esubdeconvolutionfilterdesignforuncertaintwodimensionalmarkovianjumpsystemswithstatevaryingdelays |