Global stabilization of the discrete-time double integrator using a saturated linear state feedback controller


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Yang, Tao and Stoorvogel, Anton A. and Saberi, Ali (2011) Global stabilization of the discrete-time double integrator using a saturated linear state feedback controller. In: American Control Conference, ACC 2011, 29 June - 1 July 2011, San Francisco, CA, USA.

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Abstract:This paper further studies the discrete-time double integrator. Earlier it has been shown by us that there exists a class of locally stabilizing saturated linear state feedbacks which cause periodic behavior for certain initial conditions and hence the closed-loop system is then not globally asymptotically stable. In this paper, we show that all the remaining locally stabilizing saturated linear state feedbacks globally stabilize the discretetime double integrator.
Item Type:Conference or Workshop Item
Copyright:© 2011 IEEE
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/78313
Official URL:http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5990962
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