Normalizability and feedback stabilization for second-order linear descriptor differential systems

Grigorios I. Kalogeropoulos; Athanasios A. Pantelous; Dimitrios P. Papachristopoulos

doi:10.1109/MED.2008.4601973

Normalizability and feedback stabilization for second-order linear descriptor differential systems

Grigorios I. Kalogeropoulos, Athanasios A. Pantelous, Dimitrios P. Papachristopoulos

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

6 Citations (Scopus)

Abstract

In this paper we investigate the normalizability of second-order linear descriptor differential system and simultaneously the relocation of its poles. The whole procedure is divided into three main algorithmic steps. Firstly, we normalize the descriptor system. Afterwards, we solve a linear and a multi-linear sub-problem. The proposed method computes a reduced set of quadratic Plûcker relations which describes completely the specific Grassmann variety. Finally, using these relations the feedback matrices are fully determined which provide the solution to the pole assignment problem. An illustrative example of the algorithmic procedure is also discussed.

Original language	English
Title of host publication	2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	996-1001
Number of pages	6
ISBN (Print)	9781424425051
DOIs	https://doi.org/10.1109/MED.2008.4601973
Publication status	Published - 2008
Externally published	Yes
Event	2008 Mediterranean Conference on Control and Automation, MED'08 - Ajaccio-Corsica, France Duration: 25 Jun 2008 → 27 Jun 2008

Conference

Conference	2008 Mediterranean Conference on Control and Automation, MED'08
Country/Territory	France
City	Ajaccio-Corsica
Period	25/06/08 → 27/06/08

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10.1109/MED.2008.4601973

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Kalogeropoulos, G. I., Pantelous, A. A., & Papachristopoulos, D. P. (2008). Normalizability and feedback stabilization for second-order linear descriptor differential systems. In 2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08 (pp. 996-1001). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/MED.2008.4601973

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abstract = "In this paper we investigate the normalizability of second-order linear descriptor differential system and simultaneously the relocation of its poles. The whole procedure is divided into three main algorithmic steps. Firstly, we normalize the descriptor system. Afterwards, we solve a linear and a multi-linear sub-problem. The proposed method computes a reduced set of quadratic Pl{\^u}cker relations which describes completely the specific Grassmann variety. Finally, using these relations the feedback matrices are fully determined which provide the solution to the pole assignment problem. An illustrative example of the algorithmic procedure is also discussed.",

author = "Kalogeropoulos, {Grigorios I.} and Pantelous, {Athanasios A.} and Papachristopoulos, {Dimitrios P.}",

year = "2008",

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Kalogeropoulos, GI, Pantelous, AA & Papachristopoulos, DP 2008, Normalizability and feedback stabilization for second-order linear descriptor differential systems. in 2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08. IEEE, Institute of Electrical and Electronics Engineers, pp. 996-1001, 2008 Mediterranean Conference on Control and Automation, MED'08, Ajaccio-Corsica, France, 25/06/08. https://doi.org/10.1109/MED.2008.4601973

Normalizability and feedback stabilization for second-order linear descriptor differential systems. / Kalogeropoulos, Grigorios I.; Pantelous, Athanasios A.; Papachristopoulos, Dimitrios P.
2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08. IEEE, Institute of Electrical and Electronics Engineers, 2008. p. 996-1001.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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AU - Papachristopoulos, Dimitrios P.

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AB - In this paper we investigate the normalizability of second-order linear descriptor differential system and simultaneously the relocation of its poles. The whole procedure is divided into three main algorithmic steps. Firstly, we normalize the descriptor system. Afterwards, we solve a linear and a multi-linear sub-problem. The proposed method computes a reduced set of quadratic Plûcker relations which describes completely the specific Grassmann variety. Finally, using these relations the feedback matrices are fully determined which provide the solution to the pole assignment problem. An illustrative example of the algorithmic procedure is also discussed.

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T2 - 2008 Mediterranean Conference on Control and Automation, MED'08

Y2 - 25 June 2008 through 27 June 2008

ER -

Normalizability and feedback stabilization for second-order linear descriptor differential systems

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