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Order of Residual Generators - Bounds and Algorithms

This contribution analyses residual generators that perfectly decouples disturbances in linear systems. The analysis focuses on the orders of the residual generators. Easily computed bounds on minimum and maximum order residual generators is derived and presented. An upper bound on the minimal row-degree is derived and is given directly by the number of measurements, number of linearly independent disturbances, and the number of states in the model. A lower bound is given by the minimum observability index of the model. An upper bound for the maximum order is the number of states in the model.

Erik Frisk

CCSSE, 1999

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