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Global stabilization of discrete-time linear systems with bounded inputs

✍ Scribed by José Alvarez-Ramírez; Rodolfo Suárez

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
364 KB
Volume
10
Category
Article
ISSN
0890-6327

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✦ Synopsis

In this paper we present a technique to stabilize discrete-time linear systems with bounded inputs. Based on optimal control techniques, we construct a continuous bounded state feedback which leads to global asymptotic stabilization for the case where the open-loop system has all its eigenvalues with modulus less than or equal to one. If the open-loop system has eigenvalues with modulus greater than one, a region of attraction of the origin is obtained. The resulting state feedback can be seen as a pointwise linear feedback with state-dependent gains, which are defined in terms of a non-linear algebraic equation.

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