| Title |
Pole Placement by Static Output Feedback for Two-input, Two-output, 4th Order Systems in Grassmann Space |
| Authors |
김수운(Su-Woon Kim) ; 송성호(Seong-Ho Song) ; 김호찬(Ho-Chan Kim) |
| DOI |
https://doi.org/10.5370/KIEE.2022.71.11.1651 |
| Keywords |
Pole placement; Grassmann space; static output feedback; Plucker matrix |
| Abstract |
In this paper, a parametric study of pole placement of two-input, two-output, 4th order systems with strictly proper transfer functions is investigated in real Grassmann space. To characterize the features of pole placement, the well-known Plucker matrix formula is introduced as a real constant matrix formula constructed from the static output feedback (SOF) variable’s coefficient functions of characteristic polynomial under Grassmann coordinates. It is shown that the SOF pole placement entirely depends upon the columns’ condition of a real Grassmann parameter. The results presented in this paper shows that this real Grassmannian parametrization method can generalize the existing pole placement methods for two-input, two-output, 4th order systems. |