On the stabilizability of multiple integrators by means of bounded feedback controls

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

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Abstract

It is known that a linear x= Ax + Bu can be stabilized by means of a smooth bounded control if and only if it has no eigenvalues with positive real part, and all the uncontrollable modes have a negative real part. Here, the authors investigate, for single-input systems, the question of whether such systems can be stabilized by means of a feedback u = σ(h(x)), where h is linear and σ(s) is a saturation function such as sign(s) min(|s|,1). A stabilizing feedback of this particular form exists if A has no multiple eigenvalues, and also in some other special cases such as the double integrator. It is shown that for the multiple integrator of order n, with n ≥ 3, no saturation of a linear feedback can be globally stabilizing.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages70-72
Number of pages3
ISBN (Print)0780304500
StatePublished - Jan 1 1992
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: Dec 11 1991Dec 13 1991

Publication series

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

Other

OtherProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl
Period12/11/9112/13/91

All Science Journal Classification (ASJC) codes

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

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