Robust H2 filtering for discrete LTI systems with linear fractional representation

This paper introduces a new approach to H 2 robust filtering design for discrete LTI systems subjected to linear fractional parameter uncertainty representation. We calculate a performance certificate in terms of the gap between the lower and the upper bounds of a minimax programming problem, which...

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Bibliographic Details
Main Authors: Korogui, R.H., Geromel, J.C.
Format: Conference Proceeding
Language:English
Subjects:
Cost function
Filtering theory
Functional programming
Minimax techniques
Nonlinear filters
Robustness
Transfer functions
Uncertain systems
Upper bound
Voltage
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Summary:This paper introduces a new approach to H 2 robust filtering design for discrete LTI systems subjected to linear fractional parameter uncertainty representation. We calculate a performance certificate in terms of the gap between the lower and the upper bounds of a minimax programming problem, which defines the optimal robust filter and the associated equilibrium cost. The calculations are performed through convex programming methods, applying slack variables, known as multipliers, to handle the fractional dependence of the plant transfer function with respect to the parameter uncertainty. The theory is illustrated by means of an example borrowed from the literature and a practical application involving the design of a robust filter for the load voltage estimation on a transmission line with a stub feeding an unknown resistive load.
ISSN:0191-2216
DOI:10.1109/CDC.2008.4738583