Robust Predictive Discrete-Time Controller in Constrained Systems With Uncertain and Delayed Terms

Based on the predictive mechanism, a robust control scheme is obtained in the delayed discrete-time models with uncertainty and constraint. To achieve the purpose in a predictive manner, using the linear matrix inequality, finding the regulator’s parameters is translated into optimization subjected to several constraints. Thus, the controller’s coefficients will be found numerically by solving the minimization problem. Then, applying an optimization solver at each sample, the gains of the compensator would be updated to a new value. Some examples and simulations are given to disclose the superiority of the control technique. The outcomes reveal the dominances of the predictive strategy in contrast with the similar idea.