Design of exponential stabilizing controller for open-loop unstable bilinear systems

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Abstract

The previous research on the quadratic stabilizing controller for bilinear systems mainly focuses on those systems with (neutrally) stable open-loop dynamics. When the open-loop dynamics is unstable, these quadratic controllers only show the ability of bringing the system states to a bounded region around the origin. To drive the state of an open-loop unstable system to the origin exponentially, we propose a new nonlinear controller design in this paper. By slight modification, this nonlinear control algorithm can be extended to time varying bilinear systems.

Original languageEnglish
Title of host publicationConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control
Pages978-983
Number of pages6
StatePublished - 2004
EventConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control - Taipei, Taiwan
Duration: 21 Mar 200423 Mar 2004

Publication series

NameConference Proceeding - IEEE International Conference on Networking, Sensing and Control
Volume2

Conference

ConferenceConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control
Country/TerritoryTaiwan
CityTaipei
Period21/03/0423/03/04

Keywords

  • Exponentially stable
  • Homogenous bilinear systems
  • Nonlinear control

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