Strong stabilization of time-delay systems

ÜNAL H. U., İFTAR A.

10th IFAC Workshop on Time Delay Systems, TDS-2012, Boston, MA, Amerika Birleşik Devletleri, 22 - 24 Haziran 2012, cilt.10, ss.272-277 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 10
  • Doi Numarası: 10.3182/20120622-3-us-4021.00030
  • Basıldığı Şehir: Boston, MA
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.272-277
  • Anahtar Kelimeler: Parity interlacing property, Stable controller design, Strong stabilization, Time-delay systems
  • Anadolu Üniversitesi Adresli: Evet

Özet

Stable controllers are required due to modelling imperfections and for better performance achievements. As is well known, a stable stabilizing controller for a given real-rational plant exists if and only if the plant staisfies the so-called parity interlacing property. In this paper, a recent result, which proves that this condition is also necessary for infinite-dimensional plants is first presented. The condition is also sufficient if the plant satisfies certain additional properties. This result is then applied to time-delay systems. Two examples are considered. For the first example it is shown that it is not possible to design a stable stabilizing controller. For the second example it is shown that there exists a stable controller which stabilizes the plant and the design of such a controller is demonstrated. © 2012 IFAC.