Determination of set-membership identifiability sets

International audienceThis paper concerns the concept of set-membership identifiability introduced in \cite{jauberthie}. Given a model, a set-membership identifiable set is a connected set in the parameter domain of the model such that its corresponding trajectories are distinct to trajectories arising from its complementary. For obtaining the so-called set-membership identifiable sets, we propose an algorithm based on interval analysis tools. The proposed algorithm is decomposed into three parts namely {\it mincing}, {\it evaluating} and {\it regularization} (\cite{jaulin2}). The latter step has been modified in order to obtain guaranteed set-membership identifiable sets. Our algorithm will be tested on two examples

Contribution à la représentation et à l'identification<br />des systèmes avec nonlinéarités nondifférentiables

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Gain-Scheduled Two-Loop Autopilot for an Aircraft

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Gain-scheduled PID for imbalance compensation of a magnetic bearing

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An extension of the linear quadratic Gaussian-loop transfer recovery procedure

International audienceThe linear quadratic Gaussian-loop transfer recovery procedure is a classical method to desensibilise a system in closed loop with respect to disturbances and system uncertainty. Here an extension is discussed, which avoids the usual loss of performance in LTR, and which is also applicable for non-minimum phase systems. It is also shown how the idea can be extended to other control structures. In particular, it is shown how proportional integral derivative controllers can be desensibilised with this new approach. The method is tested on several examples, including in particular the lateral flight control of an F-16 aircraft

Robustness via structured H ∞ / H ∞ synthesis

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On a generalization of the LTR procedure

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Parametric robust H_2 control

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