The existence and design of functional observers for two-dimensional systems
This paper is concerned with functional observers for two-dimensional (2D) systems described by the Fornasini–Marchesini local state-space second model. A necessary and sufficient condition is given for the existence of asymptotic functional observers. A more tractable necessary condition for the ex...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/95831 http://hdl.handle.net/10220/11890 |
| Summary: | This paper is concerned with functional observers for two-dimensional (2D) systems described by the Fornasini–Marchesini local state-space second model. A necessary and sufficient condition is given for the existence of asymptotic functional observers. A more tractable necessary condition for the existence of asymptotic functional observers is also presented, as it helps exclude those 2D systems for which there is no asymptotic functional observer. A constructive design method is then proposed for the design of asymptotic functional observers using a rank condition on the given system matrices and a linear matrix inequality (LMI) technique. Two illustrative examples are provided to demonstrate the feasibility and effectiveness of the proposed method. |
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