Displaying similar documents to “Eigenvalue assignment via state observer for descriptor systems”

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...

Infinite eigenvalue assignment by an output feedback for singular systems

Tadeusz Kaczorek (2004)

International Journal of Applied Mathematics and Computer Science

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The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.

Optimization and pole assignment in control system design

Eric Chu (2001)

International Journal of Applied Mathematics and Computer Science

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Some elementary optimization techniques, together with some not so well-known robustness measures and condition numbers, will be utilized in pole assignment. In particular, ''Method 0'' by Kautsky et al. (1985) for optimal selection of vectors is shown to be convergent to a local minimum, with respect to the condition number . This contrasts with the misconception by Kautsky et al. that the method diverges, or the recent discovery by Yang and Tits (1995) that the method converges to...

Direct algorithm for pole placement by state-derivative feedback for multi-inputlinear systems - nonsingular case

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

Kybernetika

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This paper deals with the direct solution of the pole placement problem by state-derivative feedback for multi- input linear systems. The paper describes the solution of this pole placement problem for any controllable system with nonsingular system matrix and nonzero desired poles. Then closed-loop poles can be placed in order to achieve the desired system performance. The solving procedure results into a formula similar to Ackermann one. Its derivation is based on the transformation...

An observability problem for a class of uncertain-parameter linear dynamic systems

Krzysztof Oprzędkiewicz (2005)

International Journal of Applied Mathematics and Computer Science

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An observability problem for a class of linear, uncertain-parameter, time-invariant dynamic SISO systems is discussed. The class of systems under consideration is described by a finite dimensional state-space equation with an interval diagonal state matrix, known control and output matrices and a two-dimensional uncertain parameter space. For the system considered a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum...