Optimal Robust Control for a Class of Uncertain Systems

Optimization method is applied to the optimal robust control for a class of uncertain systems.A weighed sensitivity error between actual sensitivity and nominal sensitivity is defined.By modifying the nominal controller to minimize the variance of the weighed sensitivity error over all frequency,an optimal robust controller design method is presented for a class of uncertain system,which can achieve good robustness against model errors.The simulation research for typical one-order and time-delay system in the control engineering application show the validity of the obtained method.