Strong stabilization of time-delay systems

ÜNAL H. U., İFTAR A.

10th IFAC Workshop on Time Delay Systems, TDS-2012, Boston, MA, United States Of America, 22 - 24 June 2012, vol.10, pp.272-277 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 10
  • Doi Number: 10.3182/20120622-3-us-4021.00030
  • City: Boston, MA
  • Country: United States Of America
  • Page Numbers: pp.272-277
  • Keywords: Parity interlacing property, Stable controller design, Strong stabilization, Time-delay systems
  • Anadolu University Affiliated: Yes

Abstract

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.