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Communication Dans Un Congrès Année : 2017

Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties

Jean Auriol
Florent Di Meglio

Résumé

We give sufficient conditions that guarantee exponential stability for an uncertain system of two coupled linear hyperbolic PDEs with the actuation proposed in (Vazquez et al. (2011)) applied at one boundary of the system. Using the backstepping approach, we map the original uncertain system to a system with a simpler structure. Using the Lyapunov approach proposed in (Bastin and Coron (2011); Diagne et al. (2012)) it is then possible to derive sufficient conditions that guarantee robustness. Using the same target system we derive a simple algorithm that ensures robust output tracking.
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Dates et versions

hal-01507456 , version 1 (13-04-2017)

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  • HAL Id : hal-01507456 , version 1

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Jean Auriol, Florent Di Meglio. Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties. IFAC World Congress, Jul 2017, Toulouse, France. ⟨hal-01507456⟩
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