Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties
Authors: Auriol, Jean and Di Meglio, Florent, 2017 IFAC World Congress
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.
BibTeX:
@Proceedings{,
author = {Auriol, Jean and Di Meglio, Florent},
title = {Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties},
booktitle = {Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties},
year = {2017},
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},}
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.
BibTeX:
@Proceedings{,
author = {Auriol, Jean and Di Meglio, Florent},
title = {Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties},
booktitle = {Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties},
year = {2017},
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},}