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

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Wang, Xu and Saberi, Ali and Stoorvogel, Anton A. and Grip, H°avard Fjær (2012) Further results on the disturbance response of a double integrator controlled by a saturating linear static state feedback. Automatica, 48 (2). pp. 430-435. ISSN 0005-1098

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Abstract:In this paper, we study the response to external disturbances of a double integrator with a 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).
Item Type:Article
Copyright:© 2012 Elsevier
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/79542
Official URL:http://dx.doi.org/10.1016/j.automatica.2011.07.015
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