Implicit Euler numerical simulations of sliding mode systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2009

Implicit Euler numerical simulations of sliding mode systems

Abstract

In this report it is shown that the implicit Euler time-discretization of some classes of switching systems with sliding modes, yields a very good stabilization of the trajectory and of its derivative on the sliding surface. Therefore the spurious oscillations which are pointed out elsewhere when an explicit method is used, are avoided. Moreover the method (an event-capturing, or time-stepping algorithm) allows for accumulation of events (Zeno phenomena) and for multiple switching surfaces (i.e., a sliding surface of codimension $\geq 2$). The details of the implementation are given, and numerical examples illustrate the developments. This method may be an alternative method for chattering suppression, keeping the intrinsic discontinuous nature of the dynamics on the sliding surfaces. Links with discrete-time sliding mode controllers are studied.
Fichier principal
Vignette du fichier
RR-6886.pdf (574.14 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00374840 , version 1 (10-04-2009)
inria-00374840 , version 2 (10-04-2009)

Identifiers

  • HAL Id : inria-00374840 , version 2
  • ARXIV : 0904.1682

Cite

Vincent Acary, Bernard Brogliato. Implicit Euler numerical simulations of sliding mode systems. [Research Report] RR-6886, INRIA. 2009, pp.39. ⟨inria-00374840v2⟩
289 View
441 Download

Altmetric

Share

Gmail Facebook X LinkedIn More