Tuning for Fractional Order PID Controller based on Probabilistic Robustness

To improve the control performance and robustness of fractional order PID (FOPID) controller for the uncertainty model, a tuning method for FOPID controller based on probabilistic robustness is proposed in this paper. Based on the Monte Carlo simulation, a probabilistic robustness index is formulated to represent the controller sensitivity to the uncertainty model. Stability boundaries of FOPID is depicted to provide the search space, in which the optimal group of parameters are selected based on the probabilistic robustness index. The procedure of the proposed method is designed to obtain the optimal controller parameters for the uncertainty model. Numerical examples are performed to verify the efficacy of the proposed method, and simulation results show that the proposed method has better performance, stronger robustness and ability of handling uncertainties (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.