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

G Li, WP Heath, B Lennox

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

6 Citations (Scopus)
299 Downloads (Pure)

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
Translated title of the contributionThe stability analysis of systems with nonlinear feedback expressed by a quadratic program
Original languageEnglish
Title of host publicationthe 45th IEEE Conference on Decision and Control, San Diego, California USA
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages4247 - 4252
Number of pages6
ISBN (Print)1424401712
DOIs
Publication statusPublished - Dec 2006
Event45 IEEE Conference on Decision and Control - San Diego, CA, United States
Duration: 1 Dec 2006 → …

Conference

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

Bibliographical note

Conference Organiser: IEEE
Rose publication type: Conference contribution

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Keywords

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

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