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In this paper dual problems, which we shall call output and input variance constrained H2/H?? controls, are considered. In these problems, we seek control-laws that minimize an H2 performance criterion subject to an H?? performance bound as well as multiple variance constraints on either outputs or inputs of time-invariant multivariable systems. Based on the investigation of Kuhn Tucker optimality...
A problem of designing robust control, with mixed H2/H?? performance objectives is considered for uncertain discrete-time systems, under the assumption that the state is available for feedback. The controller derived in this paper is guaranteed to satisfy a prespecified H?? disturbance attenuation constraint for plant perturbations within a specified class of uncertainties, while providing bounds...
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