Protocol-based set-membership state estimation for linear repetitive processes with uniform quantization: a zonotope-based approach
Abstract This paper is concerned with the zonotopic state estimation problem for a class of linear repetitive processes (LRPs) with weighted try-once-discard protocols (WTODPs) subject to uniform quantization. In such a system, the process disturbance and measurement noise are generally assumed to b...
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| Format: | Article |
| Language: | English |
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Springer
2025-01-01
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| Series: | Complex & Intelligent Systems |
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| Online Access: | https://doi.org/10.1007/s40747-024-01728-1 |
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| _version_ | 1823861492890468352 |
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| author | Minghao Gao Pengfei Yang Hailong Tan Qi Li |
| author_facet | Minghao Gao Pengfei Yang Hailong Tan Qi Li |
| author_sort | Minghao Gao |
| collection | DOAJ |
| description | Abstract This paper is concerned with the zonotopic state estimation problem for a class of linear repetitive processes (LRPs) with weighted try-once-discard protocols (WTODPs) subject to uniform quantization. In such a system, the process disturbance and measurement noise are generally assumed to be unknown but bounded in certain zonotopes. The measurement data are uniformly quantized prior to entering the network. In order to effectively curb data collision, a WTODP is considered, based on which only the selected sensor is allowed to transmit the data through network. The aim of this paper is to find a zonotope that covers all possible states consistent with the system model and WTODP-based measured outputs. By using the zonotope properties, a zonotope containing all possible states is first constructed whose size is then minimized by designing an appropriate correlation matrix. Moreover, a sufficient condition is offered for the existence of an upper bound on the size of this zonotope. At last, we valid the efficacy of the developed estimation approach via an illustrate example. |
| format | Article |
| id | doaj-art-aeb58a9318934af88b15c763b16239d0 |
| institution | Kabale University |
| issn | 2199-4536 2198-6053 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Springer |
| record_format | Article |
| series | Complex & Intelligent Systems |
| spelling | doaj-art-aeb58a9318934af88b15c763b16239d02025-02-09T13:00:59ZengSpringerComplex & Intelligent Systems2199-45362198-60532025-01-0111211010.1007/s40747-024-01728-1Protocol-based set-membership state estimation for linear repetitive processes with uniform quantization: a zonotope-based approachMinghao Gao0Pengfei Yang1Hailong Tan2Qi Li3School of Information Science and Technology, Hangzhou Normal UniversitySchool of Information Science and Technology, Hangzhou Normal UniversitySchool of Mathematics-Physics and Finance, Anhui Polytechnic UniversitySchool of Information Science and Technology, Hangzhou Normal UniversityAbstract This paper is concerned with the zonotopic state estimation problem for a class of linear repetitive processes (LRPs) with weighted try-once-discard protocols (WTODPs) subject to uniform quantization. In such a system, the process disturbance and measurement noise are generally assumed to be unknown but bounded in certain zonotopes. The measurement data are uniformly quantized prior to entering the network. In order to effectively curb data collision, a WTODP is considered, based on which only the selected sensor is allowed to transmit the data through network. The aim of this paper is to find a zonotope that covers all possible states consistent with the system model and WTODP-based measured outputs. By using the zonotope properties, a zonotope containing all possible states is first constructed whose size is then minimized by designing an appropriate correlation matrix. Moreover, a sufficient condition is offered for the existence of an upper bound on the size of this zonotope. At last, we valid the efficacy of the developed estimation approach via an illustrate example.https://doi.org/10.1007/s40747-024-01728-1Set-membership estimationLinear repetitive processes2-D systemsUniform quantizationWeighted try-once-discard protocol |
| spellingShingle | Minghao Gao Pengfei Yang Hailong Tan Qi Li Protocol-based set-membership state estimation for linear repetitive processes with uniform quantization: a zonotope-based approach Complex & Intelligent Systems Set-membership estimation Linear repetitive processes 2-D systems Uniform quantization Weighted try-once-discard protocol |
| title | Protocol-based set-membership state estimation for linear repetitive processes with uniform quantization: a zonotope-based approach |
| title_full | Protocol-based set-membership state estimation for linear repetitive processes with uniform quantization: a zonotope-based approach |
| title_fullStr | Protocol-based set-membership state estimation for linear repetitive processes with uniform quantization: a zonotope-based approach |
| title_full_unstemmed | Protocol-based set-membership state estimation for linear repetitive processes with uniform quantization: a zonotope-based approach |
| title_short | Protocol-based set-membership state estimation for linear repetitive processes with uniform quantization: a zonotope-based approach |
| title_sort | protocol based set membership state estimation for linear repetitive processes with uniform quantization a zonotope based approach |
| topic | Set-membership estimation Linear repetitive processes 2-D systems Uniform quantization Weighted try-once-discard protocol |
| url | https://doi.org/10.1007/s40747-024-01728-1 |
| work_keys_str_mv | AT minghaogao protocolbasedsetmembershipstateestimationforlinearrepetitiveprocesseswithuniformquantizationazonotopebasedapproach AT pengfeiyang protocolbasedsetmembershipstateestimationforlinearrepetitiveprocesseswithuniformquantizationazonotopebasedapproach AT hailongtan protocolbasedsetmembershipstateestimationforlinearrepetitiveprocesseswithuniformquantizationazonotopebasedapproach AT qili protocolbasedsetmembershipstateestimationforlinearrepetitiveprocesseswithuniformquantizationazonotopebasedapproach |