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A multi-model approach to Saint-Venant equations: A stability study by LMIs

Valérie Dos Santos Martins;  Mickael Rodrigues;  Mamadou Diagne — 2012

International Journal of Applied Mathematics and Computer Science

This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points. This method allows describing the dynamics of this nonlinear system in an infinite dimensional space over a wide operating range. A stability analysis of the nonlinear Saint-Venant PDE is proposed both by using Linear Matrix Inequalities...

Fault Tolerant Control design for polytopic LPV systems

Mickael Rodrigues;  Didier Theilliol;  Samir Aberkane;  Dominique Sauter — 2007

International Journal of Applied Mathematics and Computer Science

This paper deals with a Fault Tolerant Control (FTC) strategy for polytopic Linear Parameter Varying (LPV) systems. The main contribution consists in the design of a Static Output Feedback (SOF) dedicated to such systems in the presence of multiple actuator faults/failures. The controllers are synthesized through Linear Matrix Inequalities (LMIs) in both fault-free and faulty cases in order to preserve the system closed-loop stability. Hence, this paper provides a new sufficient (but not necessary)...

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