Stabilizing controller design for state-based switching bilinear systems

Shu Lin, Bart De Schutter, Dewei Li

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

In this paper, controllers are designed for stabilizing state-based switching bilinear systems. The controller is designed based on the special features of bilinear systems comparing with linear systems, and is carried out through three steps: first, deriving the state-based switching linear system corresponding to the switching bilinear system; then, state-feedback controllers are designed to asymptotically stabilize the corresponding switching linear system; finally, stabilizing controllers are obtained for the original system, the switching bilinear system. The stability of the controller is proved step by step through the decreasing of the overall Lyapunov function.
Original languageEnglish
Title of host publicationProceedings of the 57th IEEE Conference on Decision and Control (CDC 2018)
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Pages6452-6457
ISBN (Print)978-1-5386-1395-5
DOIs
Publication statusPublished - 2018
EventCDC 2018: 57th IEEE Conference on Decision and Control - Miami, United States
Duration: 17 Dec 201819 Dec 2018

Conference

ConferenceCDC 2018: 57th IEEE Conference on Decision and Control
CountryUnited States
CityMiami
Period17/12/1819/12/18

Keywords

  • Nonlinear systems
  • Switches
  • Linear systems
  • Lyapunov methods
  • Power system stability
  • Aerospace electronics

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