Generalized time limited Gramian based model reduction
In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable sy...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
IEEE
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/7/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction.pdf http://irep.iium.edu.my/65922/8/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction%20SCOPUS.pdf |
| Summary: | In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example. |
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