Note on the characteristic polynomial assignment problem for 2-D systems

George Antoniou, S. E. Mentzelopoulou

Research output: Contribution to journalArticleResearchpeer-review

Abstract

In this paper, the problem of the characteristic polynomial assignment (CPA) for linear shift invariant single-input single-output (SISO) two-dimensional (2-D) systems is considered. Specifically, it is shown that the use of the Fornasini-Marchesini canonical state space model representation facilitates the determination of a feedback control law for assigning a 2-D characteristic polynomial, and always results in a solution to the CPA problem. As for the proof, the well known Bass-Gura method is used. The simplicity and efficiency of the method is illustrated by several examples.

Original languageEnglish
Pages (from-to)297-305
Number of pages9
JournalControl, theory and advanced technology
Volume10
Issue number2
StatePublished - 1 Jun 1994

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Polynomials
Feedback control

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abstract = "In this paper, the problem of the characteristic polynomial assignment (CPA) for linear shift invariant single-input single-output (SISO) two-dimensional (2-D) systems is considered. Specifically, it is shown that the use of the Fornasini-Marchesini canonical state space model representation facilitates the determination of a feedback control law for assigning a 2-D characteristic polynomial, and always results in a solution to the CPA problem. As for the proof, the well known Bass-Gura method is used. The simplicity and efficiency of the method is illustrated by several examples.",
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Note on the characteristic polynomial assignment problem for 2-D systems. / Antoniou, George; Mentzelopoulou, S. E.

In: Control, theory and advanced technology, Vol. 10, No. 2, 01.06.1994, p. 297-305.

Research output: Contribution to journalArticleResearchpeer-review

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AB - In this paper, the problem of the characteristic polynomial assignment (CPA) for linear shift invariant single-input single-output (SISO) two-dimensional (2-D) systems is considered. Specifically, it is shown that the use of the Fornasini-Marchesini canonical state space model representation facilitates the determination of a feedback control law for assigning a 2-D characteristic polynomial, and always results in a solution to the CPA problem. As for the proof, the well known Bass-Gura method is used. The simplicity and efficiency of the method is illustrated by several examples.

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