Displaying similar documents to “Infinite eigenvalue assignment by an output feedback for singular systems”

The relationship between the infinite eigenvalue assignment for singular systems and the solvability of polynomial matrix equations

Tadeusz Kaczorek (2003)

International Journal of Applied Mathematics and Computer Science

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Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.

Bilateral polynomial equations with unimodular right-hand-side matrices

Tadeusz Kaczorek (2003)

International Journal of Applied Mathematics and Computer Science

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Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.

Decoupling and pole assignment by constant output feedback

Konstadinos H. Kiritsis, Trifon G. Koussiouris (2002)

Kybernetika

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In this paper a system-theoretic approach is used to solve the decoupling in combination with the arbitrary pole assignment problem by constant output feedback and a constant nonsingular input transformation. Explicit necessary and sufficient conditions are given and a procedure is described for the determination of the control law.

Eigenstructure assignment by proportional-plus-derivative feedback for second-order linear control systems

Taha H. S. Abdelaziz, Michael Valášek (2005)

Kybernetika

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This paper introduces a complete parametric approach for solving the eigenstructure assignment problem using proportional-plus-derivative feedback for second-order linear control systems. In this work, necessary and sufficient conditions that ensure the solvability for the second-order system are derived. A parametric solution to the feedback gain matrix is introduced that describes the available degrees of freedom offered by the proportional-plus-derivative feedback in selecting the...