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Abstract: In this paper, we investigate the problem of synthesizing performance weights and a controller that maximize the level of robust performance for a plant subject to both complex and real uncertainties. In particular, in this work the formulation proposed in and is manipulated in order to include the possibility to handle both real and complex uncertainties. Additionally, we introduce a novel solution algorithm that presents performance and computational advantages with respect to those described in and . [Copyright &y& Elsevier]

In this paper the problem of designing a robust controller with given structure for a plant describing a drag-free satellite is addressed. From recent experiences in drag-free control design we first derive an uncertain plant set representative of many drag-free missions with nonspherical test masses. The design plant is uncertain and a performance requirement is imposed on the absolute acceleration of the test mass along a measurement axis. The ν-gap metric is first used to derive a simplified uncertain design plant. Then the main performance requirement is broken down into requirements on the uncertain closed loop behavior of the simplified system. The fulfillment of this new set of requirements guarantees robust achievement of the overall system goal. Then optimal single-input-single- output controllers are designed that robustly achieve the desired level of performance. The method proposed allows one to properly account for the uncertainties in the system retaining the decentralized structure of the controller suggested by the peculiar features of the design plant. [ABSTRACT FROM AUTHOR]