Abstract
We consider a problem of simultaneous controller synthesis and modeling for robust control against parametric perturbations. The tool we use to solve the problem is the LFT scaling, which gives a general framework for the robust stability test. We show the relationship between our generalized small gain condition based on the LFT scaling and the existing IQC condition. A method for simultaneously achieving the modeling of the poly topic uncertainties and the synthesis of the robustly stabilizing control is proposed in terms of some matrix inequalities. An application to AC linear servo motor shows the effectiveness of the proposed method with experimental validation.
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