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Attaining mean square boundedness of a marginally stable noisy linear system with a bounded control input

Author(s):

F. Ramponi, D. Chatterjee, A. Milias, P. Hokayem, J. Lygeros
Conference/Journal:

IEEE Transactions on Automatic Control, vol. 55, no. 10, pp. 2414 - 2418, Also available at http://arxiv.org/abs/0907.1436
Abstract:

We construct control policies that ensure bounded variance of a noisy marginally stable linear system in closed-loop. It is assumed that the noise sequence is an independent collection of random vectors, enters the dynamics affinely, and has bounded fourth moment. The magnitude of the control is required to be of the order of (the uniform bound on) the first moment of the noise, and the policies we obtain are simple and computable.

Year:

2010
Type of Publication:

(01)Article
Supervisor:

J. Lygeros

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% Autogenerated BibTeX entry
@Article { RamEtal:2010:IFA_3349,
    author={F. Ramponi and D. Chatterjee and A. Milias and P. Hokayem and J.
	  Lygeros},
    title={{Attaining mean square boundedness of a marginally stable
	  noisy linear system with a bounded control input}},
    journal={IEEE Transactions on Automatic Control},
    year={2010},
    volume={55},
    number={10},
    pages={2414 -- 2418},
    month=oct,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=3349}
}
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