A New Approach for Finite-Precision Controller Realizations
Jun Wu, Xu Weihua, Sheng Chen, Gang Li · 2006
A new approach is proposed to design optimal finite word length (FWL) realizations of digital controllers implemented in fixed-point arithmetic. An analytical method is first formulated to obtain a global optimal controller realization that optimizes an FWL closed-loop stability measure. A dynamic range measure is next derived for the implemented controller realization, and a numerical optimization method is developed to make the controller realization having the smallest dynamic range without sacrificing any FWL closed-loop stability robustness.