Calculation of All Gains Providing Time-Delay Independent Stability Via Root Locus

Nesimioglu B. S., Söylemez M. T.

International Conference on Control, Decision and Information Technologies (CoDIT), Metz, France, 3 - 05 November 2014, pp.566-571 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • City: Metz
  • Country: France
  • Page Numbers: pp.566-571
  • Istanbul Technical University Affiliated: Yes

Abstract

In this paper, a simple root locus based graphical method is proposed to calculate all stabilizing (destabilizing) proportional controller set which provides time-delay independent stability for single input single output (SISO) systems with time-delay. In other words, for the gains belong to this set, if the delay-free system is stable, the time-delay system controlled with these gains remains stable, regardless of the value of the time-delay. Conversely, if the delay-free system is unstable, stability of the time-delay system is not affected by the value of the time-delay; it remains unstable.