Boundary observers for linear and quasi-linear hyperbolic systems with application to flow control

Authors:
Felipe Castillo;Emmanuel Witrant;Christophe Prieur;Luc Dugard
Affiliations:
-;-;-;-
Venue:
Automatica (Journal of IFAC)
Year:
2013

Citing 4
Cited 0

Brief paper: Boundary control with integral action for hyperbolic systems of conservation laws: Stability and experiments

Automatica (Journal of IFAC)
Boundary Control of Pdes: A Course on Backstepping Designs

Boundary Control of Pdes: A Course on Backstepping Designs
Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems

SIAM Journal on Control and Optimization
Brief paper: Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws

Automatica (Journal of IFAC)

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Abstract

In this paper we consider the problem of boundary observer design for one-dimensional first order linear and quasi-linear strict hyperbolic systems with n rightward convecting transport PDEs. By means of Lyapunov based techniques, we derive some sufficient conditions for exponential boundary observer design using only the information from the boundary control and the boundary conditions. We consider static as well as dynamic boundary controls for the boundary observer design. The main results are illustrated on the model of an inviscid incompressible flow.