IEEE Transactions on Automatic Control, Vol.61, No.12, 3979-3990, 2016
An Adaptive Observer Design for n+1 Coupled Linear Hyperbolic PDEs Based on Swapping
In this paper, we use swapping design filters to bring systems of n + 1 partial differential equations of the hyperbolic type to static form. Standard parameter identification laws can then be applied to estimate unknown parameters in the boundary conditions. Proof of boundedness of the adaptive laws are offered, and the results are demonstrated in simulations.