Abstract

In this paper, we consider a robust H/sub 2/ control problem for two-degree of freedom (2DOF) control systems with structured uncertainties. We show that it can be reduced to a scaled H/sub /spl infin// synthesis problem with one additional linear matrix inequality (LMI) condition. Particularly it can be reduced to an LMI optimization problem if the uncertainty is unstructured. As a result, we can obtain the optimal robust H/sub 2/ controller for 2 DOF control systems.

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