Modified equivalent input disturbance estimator-based active disturbance rejection for fractional-order T-S fuzzy stochastic systems

With the aid of the modified equivalent-input-disturbance estimator approach, the problems of unified tracking and disturbance rejection control are scrutinized for fractional-order T-S fuzzy stochastic systems. Specifically, multi-periodic modified repetitive control and Matausek-Micic modified Smith predictor techniques are blended in this study to achieve the intended outcomes. Specifically, the modified equivalent-input-disturbance approach estimates the disturbances with high precision and aids in actively eliminating the disturbances from the assayed system. Further, the Matausek-Micic modified Smith predictor technique compensates for the delay occurring in the control input path, paving the way for smooth operation of the system. Subsequently, a set of sufficient criteria in the frame of linear matrix inequalities is established to affirm the intended tracking performance of the system under consideration. Based on the foundation of this criteria, the required gain matrices of the controller and observer can be calculated. Ultimately, the effectiveness and superiority of the suggested control strategy are demonstrated through numerical examples with simulation results.