New L2-dynamic-range-scaling constraints for lowparametric sensitivity realizations

This paper presents a new dynamic-range scaling for the implementation of filters/controllers in state-space form. Specific fixed-point considerations allow us to relax the classical L
₂
-scaling constraints while still preserving the implementation from overflows. It gives more degrees of freedom for the optimal L
₂
-parametric sensitivity problem. The underlying constrained problem is converted into an unconstrained problem for which a solution can be provided. This leads to realizations which are still scaled but less sensitive.