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Semi-global Stabilization with Regional Performance

  • Hongjiu Yang*
  • , Yuanqing Xia
  • , Qing Geng
  • *Corresponding author for this work
  • Tianjin University
  • Yanshan University

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The problem on semi-globally stabilization has been addressed on a null controllable region for a linear system with saturating actuators [20]. A technique for estimating the DoA has been proposed for discrete-time and continuous-time systems subject to actuator saturation [47]. Semi-global stabilization has been shown to design a feedback law such that the DoA includes a priori given subset on the null controllable region [128]. A stabilizing feedback law has been constructed for semi-global stabilization of the DoA with actuator saturation [73]. It is well known that asymptotic null controllability with bounded controls is equivalent to a usual notion of linear stability plus an added condition that open-loop eigenvalues have nonpositive real parts.

Original languageEnglish
Title of host publicationStudies in Systems, Decision and Control
PublisherSpringer International Publishing
Pages177-192
Number of pages16
DOIs
Publication statusPublished - 2019

Publication series

NameStudies in Systems, Decision and Control
Volume193
ISSN (Print)2198-4182
ISSN (Electronic)2198-4190

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