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.
|Title of host publication||2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08|
|Number of pages||6|
|Publication status||Published - 2008|
|Event||2008 Mediterranean Conference on Control and Automation, MED'08 - Ajaccio-Corsica, France|
Duration: 25 Jun 2008 → 27 Jun 2008
|Conference||2008 Mediterranean Conference on Control and Automation, MED'08|
|Period||25/06/08 → 27/06/08|