Stability and stabilization of discrete switched systems based on parameter-dependent lyapunov functions

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Abstract

This paper addresses the stability and stabilization of discrete switched systems which can be used to describe manufacturing systems. A new sufficient and necessary condition in the use of parameter-dependent Lyapunov functions is proposed to guarantee the switched system stability under arbitrary switching. The control synthesis approach presented in this work reduces the conservatism by slack variables while investigating the static output feedback control issue. A cone complementarity linearization algorithm is applied to make the condition a minimization problem in the form of LMIs. By numerical evaluation, the new control design technique is illustrated to be more efficient.

Original languageEnglish
Title of host publicationMachine Design and Manufacturing Engineering II
Pages932-937
Number of pages6
DOIs
StatePublished - 2013
Event2013 2nd International Conference on Machine Design and Manufacturing Engineering, ICMDME 2013 - Jeju Island, Korea, Republic of
Duration: 1 May 20132 May 2013

Publication series

NameApplied Mechanics and Materials
Volume365-366
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Conference

Conference2013 2nd International Conference on Machine Design and Manufacturing Engineering, ICMDME 2013
Country/TerritoryKorea, Republic of
CityJeju Island
Period1/05/132/05/13

Keywords

  • Cone complementarity linearization
  • Discrete switched systems
  • Lyapunov functions
  • Slack variable
  • Stability analysis

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