A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem (Q1593656)
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scientific article; zbMATH DE number 1556771
| Language | Label | Description | Also known as |
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| English | A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem |
scientific article; zbMATH DE number 1556771 |
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A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem (English)
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25 January 2001
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Based on a certain condensed form for the system matrices obtained under orthogonal transformations, the authors show a constructive way that the solvability of the simultaneous disturbance decoupling and row-by-row decoupling (SDD-RRD) problem is equivalent with an integer equality and the nonsingularity of a lower-dimensional constant matrix. The result provides a numerical method for verifying the solvability conditions and constructing the feedback matrices using LAPACK or Matlab. An illustrative numerical example is also given. Finally, a previous result on row-by-row decoupling is generalized in order to obtain an explicit solution for the SDD-RRD problem.
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orthogonal transformations
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simultaneous disturbance decoupling and row-by-row decoupling
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numerical method
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explicit solution
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