2004
DOI: 10.1016/s1474-6670(17)31222-3
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A robustness analysis with respect to exogenous perturbations for flatness-based exact feedforward linearization

Abstract: A methodology to analyze robustness with respect to exogenous perturbations for exact feedforward linearization based on differential flatness is presented. The analysis takes into consideration the tracking error equation and makes thereafter use of a stability result by Kelemen coupled with results issued from interval analysis. This turns exact feedforward linearization based on differential flatness into a general control methodology for flat systems.

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Cited by 3 publications
(10 citation statements)
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“…Then the desired state trajectory x 2,d is determined solving the uniquely invertible output equation (10). The desired trajectory z d of the flat output is calculated via a numerical solution of differential equation (20) …”
Section: Flatness-based Feedforward Designmentioning
confidence: 99%
See 3 more Smart Citations
“…Then the desired state trajectory x 2,d is determined solving the uniquely invertible output equation (10). The desired trajectory z d of the flat output is calculated via a numerical solution of differential equation (20) …”
Section: Flatness-based Feedforward Designmentioning
confidence: 99%
“…x 2 √ (20) in which x 1 can be substituted by (16). As outlined in [17] relation (20) can be regarded as a diffeomorphic representation of the one-dimensional internal dynamics of system (9) with respect to output (10).…”
Section: Flatness-based Feedforward Designmentioning
confidence: 99%
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“…Remark that the case of robustness w.r.t. exogenous robustness is dealt with in Hagenmeyer and Delaleau (2004).…”
Section: Robustness Analysismentioning
confidence: 99%