抄録
In this paper, we consider a problem of the simultaneous controller synthesis and modeling for robust control against parametric perturbations. The model is formulated by an LFT representation of a norm bounded uncertainty matrix and a coefficient matrix which represents the uncertainty bound. The modeling of the uncertainty bound is based on the performance of the closed-loop system, while the robust stability and the robust performance is attained by an H∞ control.
A sufficient condition for the existence of a robust controller and the corresponding uncertainty bound is proposed in terms of matrix inequalities. Moreover, we show that those inequalities are reduced to be LMIs in some special cases. An application to a linear AC motor verifies the effectiveness of the proposed method.
