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On stabilization of linear systems with limited information

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1 Author(s)
Liberzon, D. ; Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:48 ,  Issue: 2 )