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Konstadinos H. Kiritsis



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Konstadinos H. Kiritsis


WSEAS Transactions on Circuits and Systems


Print ISSN: 1109-2734
E-ISSN: 2224-266X

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 18, 2019



Eigenstructure Assignment by Constant Output Feedback for Generalized State-space Systems

AUTHORS: Konstadinos H. Kiritsis

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ABSTRACT: In this paper the possibilities of constant output feedback in assigning the finite eigenstructure of closed-loop system obtained from a given linear time invariant generalized state-space system by constant output feedback are studied. In particular, an explicit necessary condition is given for the existence of a constant output feedback which assigns the desired finite eigenstructure of closed-loop system. The present method is simple and is based on properties of polynomial and rational matrices.

KEYWORDS: - invariant polynomials, eigenstrucure assignment, constant output feedback, linear systems

REFERENCES:

[ 1] H.H.Rosenbrock,State–Space and Multivariable Theory, New York, Wiley, 1970.

[2] V.Kucera, Assigning the invariant factors by feedback, Kybernetika, Vol. 2, No. 17,1981, pp.118–127.

[3] B. W.Dickinson, On the fundamental theorem of linear state variable feedback, IEEE Transactions on Automatic Control,Vol. 5, No. 19, 1974, pp.577-579.

[4] D.S.Flamm, A New Proof of Rosenbrock’s Theorem on Pole Assignment, IEEE Transactions on Automatic Control, Vol. 25, No.6, 1980, pp.1128–1133.

[5] G.E. Hayton and H.H.Rosenbrock, The general problem of pole assignment, International Journal of Control, Vol. 26, No.27, 1978, pp. 837-852.

[6] K.H.Kiritsis and T.G.Kousiouris, Eigenstructure assignment by constant output feedback for linear time invariant systems, Recent advances on Circuits and Systems, pp. 211-214, World Scientific, 1998.

[7] K.H.Kiritsis, Control of linear systems by constant output feedback, PhD. Thesis, National Technical University of Athens, 1998.

[8] K.H.Kiritsis, Dynamics assignment by output feedback, Elektronika irElektrotechnika,Vol.19, No.1, 2013, pp.11-14.

[9] E. R. L. Jones, A. C. Pugh, and G. E. Hayton, Necessary conditions for the general pole placement problem via constant output feedback, International Journal of Control, Vol. 51, No.4, 1990, pp. 771-784.

[10] V. Kucera and P. Zagalak: Fundamental theorem of state feedback for singular systems, Automatica Vol.24, No.5, 1988, pp. 653 – 658.

[11] P. Zagalak and V. Kucera, Fundamental theorem of state feedback: The case of infinite poles, Kybernetika, Vol.27, No.1,1991, pp. 1 - 11.

[12] P. Zagalak and V. Kucera, Fundamental theorem of proportional state feedback for descriptor systems, Kybernetika, Vol. 28, No.2, 1992, pp. 81-89.

[13] P. Zagalak and V. Kucera, Eigenstructure assignment in linear descriptor systems,' IEEE Transactions on Automatic Control,Vol.40, No.1, 1995, pp. 144 -147.

[14] F.L.Lewis, A survey of linear singular systems, Journal of Circuits, Systems and Signal Processing, Vol.5, No.1, 1986, pp.3-36.

[15] G.C.Verghese, B.C.Levy and T.Kailath, A generalized state-space for singular systems, IEEE Transactions on Automatic Control,Vol.26, No.4, 1981, pp.811-831.

[16] A. C.Pugh, P. A.Ratcliffe, Infinite Frequency Interpretations of Minimal Bases, International Journal of Control, Vol. 32, No 4, 1980, pp.581–588.

[17] V. Blondel, M.Gevers and A.Lindquist, Survey on the state of systems and control, European Journal of Control, Vol.1, No.1, 1995, pp.5-23.

WSEAS Transactions on Circuits and Systems, ISSN / E-ISSN: 1109-2734 / 2224-266X, Volume 18, 2019, Art. #28, pp. 179-183


Copyright © 2019 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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