Abstract
The problem of synthesizing controllers for plants subject to arbitrary, finite energy disturbances and white noise disturbances via Linear Matrix Inequalities (LMIs) is presented. This is achieved by considering white noise disturbances as belonging to a constrained set in l2. In the case where only white noise disturbances are present, the procedure reduces to standard H2 synthesis. When arbitrary, finite energy disturbances are also present, the procedure may be used to synthesize general mixed performance objective controllers, and for certain cases. Robust H2 controllers.
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