On external semi-global stochastic stabilization of linear systems with input saturation


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Stoorvogel, Anton A. and Saberi, Ali and Weiland, Siep (2007) On external semi-global stochastic stabilization of linear systems with input saturation. In: American Control Conference, ACC 2007, 11-13 July 2007, New York, NY, USA (pp. pp. 5845-5850).

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Abstract:This paper introduces the notion of external semiglobal stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. The aim of this stabilization is to control such plants by a possibly nonlinear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector for all time in the presence of disturbances and Gaussian distributed initial conditions. We report complete results for both continuous- and discrete-time open-loop critically stable plants.
Item Type:Conference or Workshop Item
Copyright:© 2007 IEEE
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/64316
Official URL:http://dx.doi.org/10.1109/ACC.2007.4282930
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