Low-Parametric-Sensitivity Realizations With Relaxed L 2 -Dynamic-Range-Scaling Constraints

This brief presents a new dynamic-range scaling for the implementation of filters/controllers in state-space form. Relaxing the classical L sub(2)-scaling constraints by specific fixed-point considerations allows for a higher degree of freedom for the optimal L sub(2)-parametric sensitivity problem....

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2009-07, Vol.56 (7)
Main Author: Hilaire, T
Format: Article
Language:English
Subjects:
Circuits
Constraints
Controllers
Degrees of freedom
Dynamical systems
Dynamics
Mathematical analysis
Optimization
Online Access:Get full text
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Summary:This brief presents a new dynamic-range scaling for the implementation of filters/controllers in state-space form. Relaxing the classical L sub(2)-scaling constraints by specific fixed-point considerations allows for a higher degree of freedom for the optimal L sub(2)-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.
ISSN:1549-7747
DOI:10.1109/TCSII.2009.2022210