This paper introduces a H2 sub-optimal approach to design state feedback controllers for switched system with parameter uncertainty. Minimum dwell time stability analysis techniques are revisited and combined with the H2-optimal control to obtain a robust state feedback controller for switched systems. Two kinds of Lyapunov functions have been used to find a switched controller, the time varying and constant controller gains have been given for the switched system. The proposed approaches have been illustrated by means of examples.
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