Sensitivity Limitations for Multivariable Linear Filtering
This paper examines fundamental limitations in performance which apply to linear filtering problems associated with multivariable systems having as many inputs as outputs. The results of this paper quantify unavoidable limitations in the sensitivity of state estimates to process and measurement dist...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2007/27190 |
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| _version_ | 1849305631074287616 |
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| author | Steven R. Weller |
| author_facet | Steven R. Weller |
| author_sort | Steven R. Weller |
| collection | DOAJ |
| description | This paper examines fundamental limitations in performance which apply to linear filtering problems associated with multivariable systems having as many inputs as outputs. The results of this paper quantify unavoidable limitations in the sensitivity of state estimates to process and measurement disturbances, as represented by the maximum singular values of the relevant transfer matrices. These limitations result from interpolation constraints imposed by open right half-plane poles and zeros in the transfer matrices linking process noise and output noise with state estimates. Using the Poisson integral inequality, this paper shows how sensitivity limitations and tradeoffs in multivariable filtering problems are intimately related to the directionality properties of the open right half-plane poles and zeros in these transfer matrices. |
| format | Article |
| id | doaj-art-06ac0d521cdc4b69aa06e2afa94f3679 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-06ac0d521cdc4b69aa06e2afa94f36792025-08-20T03:55:23ZengWileyJournal of Control Science and Engineering1687-52491687-52572007-01-01200710.1155/2007/2719027190Sensitivity Limitations for Multivariable Linear FilteringSteven R. Weller0School of Electrical Engineering and Computer Science, The University of Newcastle, Callaghan 2308, NSW, AustraliaThis paper examines fundamental limitations in performance which apply to linear filtering problems associated with multivariable systems having as many inputs as outputs. The results of this paper quantify unavoidable limitations in the sensitivity of state estimates to process and measurement disturbances, as represented by the maximum singular values of the relevant transfer matrices. These limitations result from interpolation constraints imposed by open right half-plane poles and zeros in the transfer matrices linking process noise and output noise with state estimates. Using the Poisson integral inequality, this paper shows how sensitivity limitations and tradeoffs in multivariable filtering problems are intimately related to the directionality properties of the open right half-plane poles and zeros in these transfer matrices.http://dx.doi.org/10.1155/2007/27190 |
| spellingShingle | Steven R. Weller Sensitivity Limitations for Multivariable Linear Filtering Journal of Control Science and Engineering |
| title | Sensitivity Limitations for Multivariable Linear Filtering |
| title_full | Sensitivity Limitations for Multivariable Linear Filtering |
| title_fullStr | Sensitivity Limitations for Multivariable Linear Filtering |
| title_full_unstemmed | Sensitivity Limitations for Multivariable Linear Filtering |
| title_short | Sensitivity Limitations for Multivariable Linear Filtering |
| title_sort | sensitivity limitations for multivariable linear filtering |
| url | http://dx.doi.org/10.1155/2007/27190 |
| work_keys_str_mv | AT stevenrweller sensitivitylimitationsformultivariablelinearfiltering |