Further results on the disturbance response of a double integrator controlled by saturating linear static state feedback

نویسندگان

  • Xu Wang
  • Ali Saberi
  • Anton A. Stoorvogel
  • Håvard Fjær Grip
چکیده

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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تاریخ انتشار 2011