A constrained robust model predictive control using modified fuzzy disturbance observer for continuous-time systems with polytopic uncertainty

In this paper, a constrained robust model predictive control (MPC) is addressed for continuous-time systems with polytopic uncertainty. A modified fuzzy disturbance observer (MFDO) is applied to estimate the uncertainty at each vertex given by a linear model. The quantity of uncertainty estimated by the MFDO is utilized as a pseudo membership grade for each vertex. The state feedback MPC control law is constructed by the weighted sum of each control gain according to the pseudo membership grade. To illustrate the efficiency of the proposed method, numerical simulation is represented.