Perturbation analysis for eigenstructure assignment of linear multi-input systems (Q1568841)
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scientific article; zbMATH DE number 1463536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation analysis for eigenstructure assignment of linear multi-input systems |
scientific article; zbMATH DE number 1463536 |
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Perturbation analysis for eigenstructure assignment of linear multi-input systems (English)
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23 July 2000
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The paper contains a perturbation analysis of the multi-input eigenstructure problem arising in control systems design. The authors treat the problem when it has a unique solution. Upper bounds for perturbations on the eigenvector matrix are derived and upper bounds on perturbations in the gain matrix are developed. All bounds are obtained to first-order in the relative perturbations in the data. Numerical results for a seventh-order two-input system are provided, confirming analytical results for a range of perturbations. The results are independent of the algorithm used for solving the eigenstructure problem.
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upper bounds
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controllable system
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state feedback
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multi-input pole assignment
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perturbation analysis
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eigenstructure problem
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eigenvector matrix
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gain matrix
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0.9163961
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0.91554224
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0.9136407
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0.9116205
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0.90879625
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0.9065203
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0.8948557
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