Static State and Output Feedback Synthesis for Time-Delay Systems

Abstract : In this paper, the design of a static feedback gain for a linear system subject to an input delay is studied. This synthesis is based on a stability analysis conducted using Lyapunov-Krasovskii theorem and Bessel-Legendre inequalities expressed in terms of LMIs. Some bilinear non-convex matrix inequalities are obtained to go from analysis to synthesis. They are then difficult to solve and an iterative LMI procedure is given which takes advantage of the elimination lemma. Naturally, slack variables are introduced and then, following an optimization process, values for them are proposed to reduce the conservatism. The two main corollaries discuss the static state and output feedback synthesis. Finally, a comparison is proposed and shows that this formulation introduces small conservatism.
Document type :
Preprints, Working Papers, ...
Rapport LAAS n° 17428. 2017
Liste complète des métadonnées

Cited literature [27 references]  Display  Hide  Download
Contributor : Matthieu Barreau <>
Submitted on : Monday, November 20, 2017 - 4:15:07 PM
Last modification on : Thursday, January 11, 2018 - 6:26:20 AM


Files produced by the author(s)


  • HAL Id : hal-01639829, version 1
  • ARXIV : 1711.08666


Matthieu Barreau, Frédéric Gouaisbaut, Alexandre Seuret. Static State and Output Feedback Synthesis for Time-Delay Systems. Rapport LAAS n° 17428. 2017. 〈hal-01639829〉



Record views


Files downloads