Robust Predictive Controller Based on an Uncertain Fractional Order Model

Abstract: This paper focuses on Robust Fractional Predictive Control (RFPC) for fractional order dynamic systems with real parametric uncertainties to take into account the uncertain behavior of physical process. Based on worst case strategy, the control law is obtained by resolution of a non convex min-max optimization problem which takes into account the uncertainties on the fractional order model parameters. The performance of the proposed predictive controller are illustrated with practical results of a thermal system and compared to the Fractional Predictive Control (FPC) with fixed parameters.