An algorithmic solution is given for the problem of calculating a pole assignment matrix F that makes the eigenvector matrix of A + BF well-conditioned with respect to inversion, or equivalently, maximally orthonormal. This causes A + BF to have low eigenvalue sensitivity. The algorithm relies on a
Robust eigenstructure assignment via dynamical compensators
โ Scribed by Guang-Ren Duan
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 564 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
Based on a proposed complete parametric approach for eigenstructure assignment in multivariable linear systems via dynamical compensators, insightful parametrizations of the closed loop eigenvalues sensitivities to the perturbed elements in the open loop system matrices are obtained, and an effective algorithm for eigenvalue assignment with minimum sensitivity in multivariable linear systems via dynamical compensators is then proposed. The algorithm does not contain 'going back' procedures, and allows the closed loop eigenvalues to be conveniently optimized within desired regions. A numerical example demonstrates its effect, simplicity and numerical property.
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