Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
L1 Optimal Controller for MIMO Continuous-Time Systems
Yoshito OHTA
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1994 Volume 30 Issue 12 Pages 1411-1417

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Abstract
In this paper, an optimal solution of the continuous-time L1 control problem for 1-block MIMO systems is studied. Firstly, a characterization of an optimal solution is derived. A crucial idea of the approach is the duality of convex sets of finite dimensional vector spaces. This avoids a functional space argument. Secondly, it is shown that confining controllers to be finite dimensional does not hamper the ablitity to reduce the L induced norm of the closed loop operator.
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