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Constrained control for uncertain discrete-time linear systems

✍ Scribed by Luca Benvenuti; Lorenzo Farina

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
141 KB
Volume
8
Category
Article
ISSN
1049-8923

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✦ Synopsis

In this paper the problem of stabilizing uncertain linear discrete-time systems under state and control linear constraints is studied. Many formulations of this problem have been given in the literature. Here we consider the case of finding a linear state feedback control law making a given polytope in the state space positively invariant while the control remains bounded within prefixed values under the effect of all the uncertainty sequences belonging to a given polytope in the perturbations space. A necessary and sufficient condition for the existence of a solution of this problem is first given. This condition leads to a set of linear constraints which can be solved using linear programming tecniques by defining an appropriate objective function. A worked example shows the effectiveness of the proposed algorithm.

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