Representation of motion of controlled dynamic systems with unilateral constraints

Boris Miller, Joseph Bentsman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A long-standing problem of deriving a system representation that admits unique extensibility of motion beyond accumulation point for systems with Zeno-type behavior subject to continuous control signal is solved. This representation is shown to be given by a pair (limit system, prelimit system) where the former supports a family of extensions beyond accumulation point and the latter selects a particular extension through limit procedure. The smooth sliding mode is shown to represent a motion beyond the right accumulation points. Examples demonstrating the difficulties that arise in the cases of discontinuous and/or feedback control are given.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4787-4792
Number of pages6
ISBN (Print)1424401712, 9781424401710
StatePublished - 2006
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
Country/TerritoryUnited States
CitySan Diego, CA
Period12/13/0612/15/06

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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