Dynamical Systems with Controlled Singularities: Physically Based Representation and Control-Oriented Modeling

Joseph Bentsman, Boris M. Miller

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

Abstract

A rigorous analytical framework for a class of dynamical systems with controlled singularities was developed. A physically motivated approach to generating the descriptions of the system with contact impulsive forces was proposed. The contact force was considered to be the result of a small violation of a constraint that starts taking place as soon as the system hits the boundary of a constraint. The controlled motion in the inhibited domain is admitted and described by the nonstandard controlled singularly perturbed differential equation with infinitely growing right-hand-side, so that the solution of this equation behaves in the limit a stepwise function with respect to the components of the generalized velocity.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages6351-6356
Number of pages6
DOIs
StatePublished - 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: Dec 9 2003Dec 12 2003

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume6
ISSN (Print)0191-2216

Other

Other42nd IEEE Conference on Decision and Control
CountryUnited States
CityMaui, HI
Period12/9/0312/12/03

ASJC Scopus subject areas

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

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