Backstepping for Nonlinear Systems with Delay in the Input Revisited

  • Authors:
  • Frédéric Mazenc;Silviu-Iulian Niculescu;Mounir Bekaik

  • Affiliations:
  • Frederic.MAZENC@lss.supelec.fr and Mounir.BEKAIK@lss.supelec.fr;Silviu.Niculescu@lss.supelec.fr;-

  • Venue:
  • SIAM Journal on Control and Optimization
  • Year:
  • 2011

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Abstract

In this paper, a new solution to the problem of globally asymptotically stabilizing a nonlinear system in feedback form with a known pointwise delay in the input is proposed. The result covers a family of systems wider than those studied in the literature and endows with control laws with a single delay, in contrast to those given in previous works which include two distinct pointwise delays or distributed delays. The strategy of design is based on the construction of an appropriate Lyapunov-Krasovskii functional. An illustrative example ends the paper.