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http://dx.doi.org/10.7471/ikeee.2019.23.4.1353

Static output feedback pole assignment of 2-input, 2-output, 4th order systems in Grassmann space  

Kim, Su-Woon (Dept. of Electrical Engineering, Jeju National University)
Song, Seong-Ho (School of Software, Hallym University)
Kang, Min-Jae (Dept. of Electronic Engineering, Jeju National University)
Kim, Ho-Chan (Dept. of Electrical Engineering, Jeju National University)
Publication Information
Journal of IKEEE / v.23, no.4, 2019 , pp. 1353-1359 More about this Journal
Abstract
It is presented in this paper that the static output feedback (SOF) pole-assignment problem of some linear time-invariant systems can be completely resolved by parametrization in real Grassmann space. For the real Grassmannian parametrization, the so-called Plucker matrix is utilized as a linear matrix formula formulated from the SOF variable's coefficients of a characteristic polynomial constrained in Grassmann space. It is found that the exact SOF pole assignability is determined by the linear independency of columns of Plucker sub-matrix and by full-rank of that sub-matrix. It is also presented that previous diverse pole-assignment methods and various computation algorithms of the real SOF gains for 2-input, 2-output, 4th order systems are unified in a deterministic way within this real Grassmannian parametrization method.
Keywords
Exact pole assignment; Grassmann space; Plucker matrix; static output feedback; real SOF gains;
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