Abstract
In this paper, a robust output feedback optimal control strategy is formulated for fractional order time delay systems (FOTDS) with disturbances. The robust controller and the predictor are designed separately. The observer gain matrix is designed using a novel approach exploiting Lambert W function. The controller is designed by using linear quadratic regulator (LQR). Based on recent Lyapunov based results for fractional-order systems (FOS), sufficient conditions are derived for asymptotic convergence of the prediction error and closed loop stability. Numerical examples are enclosed to demonstrate the efficacy of the developed approach.
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