Trajectory tracking for a system of two linear hyperbolic PDEs with uncertaintiesReport as inadecuate




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1 CAS - Centre Automatique et Systèmes

Abstract : 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.

Keywords : Hyperbolic Partial Differential Equations Uncertain linear system Robustness Tracking Backstepping





Author: Jean Auriol - Florent Di Meglio -

Source: https://hal.archives-ouvertes.fr/



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