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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)
Pages4247 - 4252
Number of pages6
ISBN (Print)1424401712
StatePublished - Dec 2006
Event45 IEEE Conference on Decision and Control - San Diego, CA, United States


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


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

Conference Organiser: IEEE Rose publication type: Conference contribution Terms of use: ©2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

    Research areas

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


45 IEEE Conference on Decision and Control

Duration1 Dec 2006 → …
CitySan Diego, CA
CountryUnited States

Event: Conference

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    Accepted author manuscript, 163 KB, PDF-document



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