Abstract
In the present work, we study the mixed H2/H∞ state feedback control for Markov jump linear systems through a detector approach. It is considered that the Markov parameter θ(k) is not available to the controller, but instead there is an estimation θ^(k) given by a detector. Conditions for the synthesis of controllers that depend only on θ^(k) and stochastically stabilize the system while providing upper bounds for the H2 and H∞ norms are given in terms of linear matrix inequalities. The results are illustrated by a numerical example.
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