A comparative view to H∞-norm of transfer functions of linear DAEs

Gündüz H., Çelik E., KARABACAK M.

International Journal of Optimization and Control: Theories and Applications, cilt.14, sa.4, ss.346-354, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.11121/ijocta.1575
  • Dergi Adı: International Journal of Optimization and Control: Theories and Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Communication Abstracts, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.346-354
  • Anahtar Kelimeler: Bisection method, DAEs systems, Extended-balanced singular, H∞-norm, perturbation method
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, bisection and extended-balanced singular perturbation methods are used to calculate the H∞-norm of the transfer function of a linear DAEs system for the particular case D = 0. In the beginning the approaches’ algorithms and error analysis are provided separately. Next, the methods are employed to calculate the H∞-norms of a numerical example pertaining to an automotive gas turbine model, and the error limits are used to check the norms in the suitable range, respectively. Ultimately, every solution is compared individually with the problem’s H∞-norm values, which are retrieved from MATLAB.