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Institute of Korean Electrical and Electronics Engineers (한국전기전자학회)
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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)
  • Received : 2019.12.12
  • Accepted : 2019.12.26
  • Published : 2019.12.31
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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.

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References

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