Robust unbiased H∞ filtering for uncertain two-dimensional systems
This paper is concerned with the problem of robust unbiased H∞ filtering for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini local state-space second model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The conce...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/96993 http://hdl.handle.net/10220/11746 |
| _version_ | 1826121795295510528 |
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| author | Xu, Huiling Lin, Zhiping Makur, Anamitra |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Xu, Huiling Lin, Zhiping Makur, Anamitra |
| author_sort | Xu, Huiling |
| collection | NTU |
| description | This paper is concerned with the problem of robust unbiased H∞ filtering for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini local state-space second model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The concept of robust unbiased filtering is first introduced into uncertain 2-D systems. A necessary and sufficient condition for the existence of robust unbiased 2-D H∞ filters is derived based on the rank condition of the given system matrices. A method is then proposed for the design of robust unbiased H∞ filters for uncertain 2-D systems using a linear matrix inequality (LMI) technique. The main advantage of the proposed method is that it can be applied to unstable uncertain 2-D systems while existing robust 2-D H∞ filtering approaches only work for robust stable uncertain 2-D systems. An illustrative example is also provided and comparison with existing results is made. |
| first_indexed | 2024-10-01T05:38:01Z |
| format | Conference Paper |
| id | ntu-10356/96993 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:38:01Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/969932020-03-07T13:24:47Z Robust unbiased H∞ filtering for uncertain two-dimensional systems Xu, Huiling Lin, Zhiping Makur, Anamitra School of Electrical and Electronic Engineering International Conference on Control Automation Robotics & Vision (12th : 2012 : Guangzhou, China) DRNTU::Engineering::Electrical and electronic engineering This paper is concerned with the problem of robust unbiased H∞ filtering for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini local state-space second model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The concept of robust unbiased filtering is first introduced into uncertain 2-D systems. A necessary and sufficient condition for the existence of robust unbiased 2-D H∞ filters is derived based on the rank condition of the given system matrices. A method is then proposed for the design of robust unbiased H∞ filters for uncertain 2-D systems using a linear matrix inequality (LMI) technique. The main advantage of the proposed method is that it can be applied to unstable uncertain 2-D systems while existing robust 2-D H∞ filtering approaches only work for robust stable uncertain 2-D systems. An illustrative example is also provided and comparison with existing results is made. 2013-07-17T06:42:35Z 2019-12-06T19:37:40Z 2013-07-17T06:42:35Z 2019-12-06T19:37:40Z 2012 2012 Conference Paper Xu, H., Lin, Z., & Makur, A. (2012). Robust unbiased H∞ filtering for uncertain two-dimensional systems. 2012 12th International Conference on Control Automation Robotics & Vision (ICARCV), 1296-1301. https://hdl.handle.net/10356/96993 http://hdl.handle.net/10220/11746 10.1109/ICARCV.2012.6485332 en © 2012 IEEE. |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Xu, Huiling Lin, Zhiping Makur, Anamitra Robust unbiased H∞ filtering for uncertain two-dimensional systems |
| title | Robust unbiased H∞ filtering for uncertain two-dimensional systems |
| title_full | Robust unbiased H∞ filtering for uncertain two-dimensional systems |
| title_fullStr | Robust unbiased H∞ filtering for uncertain two-dimensional systems |
| title_full_unstemmed | Robust unbiased H∞ filtering for uncertain two-dimensional systems |
| title_short | Robust unbiased H∞ filtering for uncertain two-dimensional systems |
| title_sort | robust unbiased h∞ filtering for uncertain two dimensional systems |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/96993 http://hdl.handle.net/10220/11746 |
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