Optimal linear regulator with prescribed poles minimizing the frobenius norm of a cost function

DOĞRUER C. U.

23rd International Conference on System Theory, Control and Computing, ICSTCC 2019, Sinaia, Romanya, 9 - 11 Ekim 2019, ss.721-726, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası:
  • Doi Numarası: 10.1109/icstcc.2019.8885443
  • Basıldığı Şehir: Sinaia
  • Basıldığı Ülke: Romanya
  • Sayfa Sayıları: ss.721-726
  • Anahtar Kelimeler: Pole Assignment, Optimization, Eigenstructure Assignment, GENERALIZED EIGENVECTOR ASSIGNMENT, EIGENSTRUCTURE ASSIGNMENT
  • Hacettepe Üniversitesi Adresli: Evet

Özet

This paper presents a new pole assignment method to optimize the response of an LTI system by minimizing the Frobenius-norm of an infinite horizon cost function. It can be shown that for a given set of poles, the state feedback matrix that conforms to the desired poles is not unique. Hence, in this study, it is decided that this redundancy in the decision parameter set is used to minimize the Frobenius-norm of a cost function. Then, the set of optimal decision parameters minimizing the Frobenius-norm of proposed cost function is used to calculate the optimal state-feedback matrix. Hence, in this paper, it has been shown that poles of an LTI system can be placed in the complex-plane at desired locations and a measure of the system response can be optimized by minimizing the Frobenius-norm of an infinite-horizon cost by calculating some optimal state-feedback matrix with the use of method proposed here.