Robustness analysis with integral quadratic constraints, application to space launchers.

The introduction of analytical techniques along the steps of the development of a space launcher will allow significant reductions in terms of costs and manpower, and will enable, by a more systematical way of tuning and assessing control laws, to get flyable designs much faster. In this scope, IQC based tools already present promising result and show that they may be the most appropriate ones for the robustness analysis of large complex systems. They account for the system structure and allow dealing specifically with each subsystems, it means that we can improve the representation contained in the multipliers easily and reuse the set up to assess the improvements. The flexibility of the method is a huge advantage. We experienced it during two phases. The first was dedicated to the analysis of the three-degree-of-freedom uncertain nonlinear equation of motion of a rigid body. Secondly, we studied the influence of the pulse-width modulator behavior of the attitude control system on the launcher stability. IQC-based stability analysis allowed defining estimations of the stability domain with respect to uncertainties and system parameters. Moreover, the results obtained with IQC can go way beyond stability analysis with performance analysis with description of the particular performance criteria of the field with appropriate multipliers. Later on controller synthesis and merging of IQC method with worst-case search algorithms could extend greatly the frame of use of this analytical tool and give it the influence it deserves.

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Field Value
Source https://theses.hal.science/tel-00988162
Author Chaudenson, Julien
Maintainer CCSD
Last Updated May 5, 2026, 11:54 (UTC)
Created May 5, 2026, 11:54 (UTC)
Identifier NNT: 2013SUPL0029
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Supélec Sciences des Systèmes (E3S) ; Ecole Supérieure d'Electricité - SUPELEC (FRANCE)
creator Chaudenson, Julien
date 2013-12-04T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-03-31T00:00:00
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