Further Results on the Disturbance Response of a Double Integrator Controlled by Saturating Linear Static State Feedback

Abstract

In this paper we study the response to external disturbances of a double integrator with saturating feedback. For a class of disturbances that have bounded integrals over all intervals, we show that a linear static feedback law can always be designed to ensure boundedness of the states. Moreover, boundedness can be preserved if the disturbance is biased by a small DC signal. In the special case that the disturbance is made up of a finite number of sinusoids and a small bias, any linear static feedback ensures boundedness of the states. These results are an extension of previous results by Wen, Roy, and Saberi (2008).

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Document Details

Document Type
Technical Report
Publication Date
Jul 13, 2011
Accession Number
ADA551433

Entities

People

  • Ali Saberi
  • Anton A. Stoorvogel
  • Havard F. Grip
  • Xu Wang

Organizations

  • Washington State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Computer Science
  • Dynamic Response
  • Electrical Engineering
  • Engineering
  • Feedback
  • Information Operations
  • Integrals
  • Integrators
  • Mathematics
  • Numbers
  • Real Numbers
  • Saturation
  • Standards
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.