Discrete-time modeling and stability analysis of periodic orbits with sliding for switched linear systems

Yibo Zhao, Jiuchao Feng, Chi Kong Tse

Research output: Journal article publicationJournal articleAcademic researchpeer-review

23 Citations (Scopus)


This paper establishes a discrete-time model and presents an exact method of stability analysis for periodic orbits containing a segment of sliding orbit for switched linear systems. Sliding dynamical equations are obtained by using Utkin's equivalent control method. Sliding mapping and impact mapping are obtained by solving the respective differential equations. A generalized discrete-time mapping for a cycle is derived for three operating scenarios. The coordinates of the periodic orbit points, inflow and outflow sliding regions, and the corresponding Jacobians are obtained. Theoretical analysis and simulation results for a third-order relay-feedback system and a second-order autonomous oscillating circuit are presented to illustrate the proposed model and method.
Original languageEnglish
Article number5491103
Pages (from-to)2948-2955
Number of pages8
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number11
Publication statusPublished - 23 Jun 2010


  • Discrete-time mapping
  • sliding
  • stability
  • switched linear systems (SLSs)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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