We use a backstepping technique with time-varying kernels to derive an observer that estimates unknown boundary parameters and the states in 2×2 linear hyperbolic PDEs from sensing anti-collocated with the uncertain parameters. The theory is demonstrated in a simulation.
['Henrik Anfinsen', 'Ole Morten Aamo']
Boundary parameter and state estimation in 2 × 2 linear hyperbolic PDEs using adaptive backstepping