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|Title:||A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem|
|Authors:||Chu, D. |
|Citation:||Chu, D.,Hung, Y.S. (2000-11-15). A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem. Linear Algebra and Its Applications 320 (1-3) : 37-49. ScholarBank@NUS Repository.|
|Abstract:||The numerical computation of the simultaneous disturbance decoupling and row-by-row decoupling problem is considered. Based on a condensed form for the system matrices the solvability of the simultaneous disturbance decoupling and row-by-row decoupling problem is reduced to the verification of an integer equality and the nonsingularity of a lower-dimensional constant matrix. The condensed form we use is computed using only orthogonal transformations, which can be implemented in a numerically stable way. Hence, it leads directly to an effective numerical method for solving the disturbance decoupling and row-by-row decoupling problem using existing tools such as LAPACK and Matlab. Our result complements existing geometric and structural approaches which are of a theoretical nature and are not suitable for numerical computation. © 2000 Elsevier Science Inc.|
|Source Title:||Linear Algebra and Its Applications|
|Appears in Collections:||Staff Publications|
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