Research on digital redesign of the robust controller for parametric uncertain systems

Aiming at a class of parametric uncertain systems, the derivation of the approximate discrete model is presented, and the sampling period is taken as the system parameter to ensure the system compatibility of the nature model under the disturbance and parameter change. By using the digitial redesign method, the global state-matching of both discrete controller and continuous controller is converted to the convex optimization problem, and the controller robust stability is unified under the framework of linear matrix inequalities to be solved numerically. A simulation example shows that the proposed method is feasible and the performance of the robust controller is better than the traditional discrete methods.