In this paper, a new method for robust controller design for systems with ellipsoidal parametric uncertainty in terms of solutions to a set of Linear Matrix Inequalities (LMIs) is proposed. It is well-known that the resulted closed-loop robust performance depends as much on the controller as it depends on the shape of the uncertainty set. Subsequently, joint robust controller design/ uncertainty set shaping is investigated. Therefore, using input design in system identification, uncertainty set would be shaped for robust control design. This way, desired closed-loop performance and controller structure would be translated into the requirements on the input signal spectrum. The Simulation results show the effectiveness of our proposed method.

Keywords: Robust Control, Ellipsoidal Parametric Uncertainty, System Identification, Input Design, Uncertainty Set Shaping for Robust Control

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