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 proceedingConference PaperResearchpeer-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 languageEnglish
Title of host publication2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08
Pages996-1001
Number of pages6
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event2008 Mediterranean Conference on Control and Automation, MED'08 - Ajaccio-Corsica, France
Duration: 25 Jun 200827 Jun 2008

Conference

Conference2008 Mediterranean Conference on Control and Automation, MED'08
CountryFrance
CityAjaccio-Corsica
Period25/06/0827/06/08

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