Abstract
This paper presents an approach to design Linear Quadratic control laws for commensurate fractional order models. The proposed approach is based on the reformulation of a commensurate fractional order model as an uncertain integer order model. A Linear Quadratic control law is then designed from the uncertain integer order model as it can be expressed as a multiobjective $\mathcal{H}_{2}/\mathcal{H}_{\infty}$ problem which is solved using Linear Matrix Inequalities based approach. The entire approach is applied to an academic example.
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