An algorithmic approach for lessening conservativeness of criteria determining absolute stability

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

Lur'e systems are the feedback interconnection of a linear time-invariant system with a memoryless static operator. In this paper, we derive an algorithmic method to incorporate the information given by additional Lyapunov functions in order to enlarge the estimate of the domain of attraction of a Lur'e system. The methodology, limited for simplicity to quadratic Lyapunov functions, relies on the solution of a sequence of convex optimization programs. The ideas formulated in this article have general validity and can be extended to other scenarios (for example considering Lyapunov functions in the form of sum of squares.

Original languageEnglish (US)
Title of host publication2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings
EditorsVictor Munoz, Joseba Quevedo, Jorge L. Martinez, Jesus Morales
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages571-576
Number of pages6
ISBN (Electronic)9781479999361
DOIs
StatePublished - Jul 14 2015
Event23rd Mediterranean Conference on Control and Automation, MED 2015 - Torremolinos, Spain
Duration: Jun 16 2015Jun 19 2015

Publication series

Name2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings

Other

Other23rd Mediterranean Conference on Control and Automation, MED 2015
CountrySpain
CityTorremolinos
Period6/16/156/19/15

Keywords

  • Domains of Attraction
  • Local Quadratic Constraints
  • Lur'e systems

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