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The stability analysis of systems with nonlinear feedback expressed by a quadratic program

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

  • G Li
  • WP Heath
  • B Lennox
Original languageEnglish
Title of host publicationthe 45th IEEE Conference on Decision and Control, San Diego, California USA
Publisher or commissioning bodyInstitute of Electrical and Electronics Engineers (IEEE)
Publication dateDec 2006
Pages4247 - 4252
Number of pages6
ISBN (Print)1424401712
DOIs
StatePublished

Conference

Conference45 IEEE Conference on Decision and Control
CountryUnited States
CitySan Diego, CA
Period1/12/06 → …

Abstract

We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP). We establish quadratic constraints from the Karush-Kuhn-Tucker (KKT) conditions that may be used to construct a piecewise quadratic Lyapunov function via the S-procedure. The approach is based on existing results in the literature, but gives a more parsimonious linear matrix inequality (LMI) criterion. Our approach can be extended to model predictive control (MPC), and gives equivalent results to those in the literature but with a much lower dimension LMI criterion

Additional information

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    Author final version (often known as postprint) , 163 KB, PDF-document

DOI

Research areas

  • absolute stability, Lur'e systems, LMI, quadratic program

Event

45 IEEE Conference on Decision and Control

Duration1 Dec 2006 → …
CountryUnited States
CitySan Diego, CA

Event: Conference

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