Abstract
In the implementation of a state-estimate feedback controller with the finite word length of fixed-point arithmetic, an L2-sensitivity measure is derived for evaluating the overall sensitivity of a closed-loop transfer function with respect to the state-estimate feedback controller's coefficients by using a pure L2-norm. An iterative procedure is then presented for synthesizing the state-estimate feedback controller's structures that minimize the L2-sensitivity measure. The present L2-sensitivity minimization is more natural and resonable than the existing L1/L2-mixed sensitivity minimization. Furthermore, the above iterative procedure has the advantage of analytically calculating the estimate at each iteration. Finally, a numerical example is given to illustrate the utility of the proposed technique.
