Recursive Delta-Operator-Based Subspace Identification with Fixed Data Size
This paper proposes a recursive delta-operator-based subspace identification method with fixed data size. The majority of existing subspace identification methods are constrained to discrete-time systems because of the disparity in Hankel matrices. Additionally, due to the storage cost, LQ-factoriza...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2023/9998943 |
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| _version_ | 1832559544345034752 |
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| author | Miao Yu Wanli Wang Youyi Wang Liang Liu |
| author_facet | Miao Yu Wanli Wang Youyi Wang Liang Liu |
| author_sort | Miao Yu |
| collection | DOAJ |
| description | This paper proposes a recursive delta-operator-based subspace identification method with fixed data size. The majority of existing subspace identification methods are constrained to discrete-time systems because of the disparity in Hankel matrices. Additionally, due to the storage cost, LQ-factorization and singular value decomposition in identification methods are best suited for batch processing rather than online identification. The continuous-time systems are transformed into state space models based on the delta-operator to address these issues. These models approach the original systems when the sampling interval approaches zero. The size of the data matrices is fixed to reduce the computing load. By fading the impact of past data on future data, the amount of data storage can be decreased. The effectiveness of the proposed method is illustrated by the continuous stirred tank reactor system. |
| format | Article |
| id | doaj-art-2db564e54b6344d0b9d8d9965bc22bde |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-2db564e54b6344d0b9d8d9965bc22bde2025-02-03T01:29:44ZengWileyComplexity1099-05262023-01-01202310.1155/2023/9998943Recursive Delta-Operator-Based Subspace Identification with Fixed Data SizeMiao Yu0Wanli Wang1Youyi Wang2Liang Liu3School of Control EngineeringSchool of Control EngineeringSchool of Control EngineeringCollege of Information Science and EngineeringThis paper proposes a recursive delta-operator-based subspace identification method with fixed data size. The majority of existing subspace identification methods are constrained to discrete-time systems because of the disparity in Hankel matrices. Additionally, due to the storage cost, LQ-factorization and singular value decomposition in identification methods are best suited for batch processing rather than online identification. The continuous-time systems are transformed into state space models based on the delta-operator to address these issues. These models approach the original systems when the sampling interval approaches zero. The size of the data matrices is fixed to reduce the computing load. By fading the impact of past data on future data, the amount of data storage can be decreased. The effectiveness of the proposed method is illustrated by the continuous stirred tank reactor system.http://dx.doi.org/10.1155/2023/9998943 |
| spellingShingle | Miao Yu Wanli Wang Youyi Wang Liang Liu Recursive Delta-Operator-Based Subspace Identification with Fixed Data Size Complexity |
| title | Recursive Delta-Operator-Based Subspace Identification with Fixed Data Size |
| title_full | Recursive Delta-Operator-Based Subspace Identification with Fixed Data Size |
| title_fullStr | Recursive Delta-Operator-Based Subspace Identification with Fixed Data Size |
| title_full_unstemmed | Recursive Delta-Operator-Based Subspace Identification with Fixed Data Size |
| title_short | Recursive Delta-Operator-Based Subspace Identification with Fixed Data Size |
| title_sort | recursive delta operator based subspace identification with fixed data size |
| url | http://dx.doi.org/10.1155/2023/9998943 |
| work_keys_str_mv | AT miaoyu recursivedeltaoperatorbasedsubspaceidentificationwithfixeddatasize AT wanliwang recursivedeltaoperatorbasedsubspaceidentificationwithfixeddatasize AT youyiwang recursivedeltaoperatorbasedsubspaceidentificationwithfixeddatasize AT liangliu recursivedeltaoperatorbasedsubspaceidentificationwithfixeddatasize |