On stabilization of linear systems with limited information
Liberzon, D.
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA;
This paper appears in: Automatic Control, IEEE Transactions on
Publication Date: Feb. 2003
Volume: 48,
Issue: 2
On page(s): 304- 307
ISSN: 0018-9286
INSPEC Accession Number: 7709777
Digital Object Identifier: 10.1109/TAC.2002.808487
Posted online: 2003-04-01 16:14:38.0
Abstract
We consider the problem of stabilizing a linear time-invariant system using sampled encoded measurements of its state or output. We derive a relationship between the number of values taken by the encoder and the norm of the transition matrix of the open-loop system over one sampling period, which guarantees that global asymptotic stabilization can be achieved. A coding scheme and a stabilizing control strategy are described explicitly.
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