Low-parametric-sensitivity realizations with relaxed L2-dynamic-range-scaling constraints

Authors:
Thibault Hilaire
Affiliations:
Institute of Communications and Radio-Frequency Engineering, Vienna University of Technology, Vienna, Austria
Venue:
IEEE Transactions on Circuits and Systems II: Express Briefs
Year:
2009

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Abstract

This brief presents a new dynamic-range scaling for the implementation of filters/controllers in state-space form. Relaxing the classical L2-scaling constraints by specific fixed-point considerations allows for a higher degree of freedom for the optimal L2-parametric sensitivity problem. However, overflows in the implementation are still prevented. The underlying constrained problem is converted into an unconstrained problem for which a solution can be provided. This leads to realizations that are still scaled but less sensitive.