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Parametric eigenstructure assignment by output-feedback control: The case of multiple eigenvalues. (English) Zbl 0658.93043

The closed-loop eigenstructure assignment for the general case of multiple eigenvalues by output-feedback in multi-input multi-output linear systems is considered. The specified set of eigenvalues is decomposed into a main subset \(S_ m\) and an additional subset \(S_ p\). Then equations for individual assignment of \(S_ m\) and \(S_ p\) are established. A computational scheme for the determination of the gain matrix K is given and illustrated by a numerical example.
Reviewer: T.Kaczorek

MSC:

93B55 Pole and zero placement problems
15A18 Eigenvalues, singular values, and eigenvectors
93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems
93B40 Computational methods in systems theory (MSC2010)
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