Journal article
Further results on the disturbance response of a double integrator controlled by a saturating linear static state feedback
Automatica (Oxford), Vol.48(2), pp.430-435
02/2012
Handle:
https://hdl.handle.net/2376/104998
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).
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Details
- Title
- Further results on the disturbance response of a double integrator controlled by a saturating linear static state feedback
- Creators
- Xu Wang - School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USAAli Saberi - School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USAAnton A Stoorvogel - Department of Electrical Engineering, Mathematics, and Computing Science, University of Twente, P.O. Box 217, 7500 AE Enschede, The NetherlandsHåvard Fjær Grip - School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, USA
- Publication Details
- Automatica (Oxford), Vol.48(2), pp.430-435
- Academic Unit
- Electrical Engineering and Computer Science, School of; Mathematics and Statistics, Department of
- Publisher
- Elsevier Ltd
- Grant note
- Research Council of Norway ONR KKK777SB001; ONR KKK760SB0012 / NAVY
- Identifiers
- 99900546712501842
- Language
- English
- Resource Type
- Journal article