Adaptive boundary observer for parabolic PDEs subject to domain and boundary parameter uncertainties

作者：Ahmed Ali Tarek^*; Giri Fouad; Krstic Miroslav; Bullion Laurent; Lamnabhi Lagarrigue Francoise

来源：Automatica, 2016, 72: 115-122.

DOI：10.1016/j.automatica.2016.06.006

• Parabolic PDEs
• Parameter uncertainty
• Adaptive observer
• Backstepping design

We are considering the problem of state observation for a class of infinite dimensional systems modeled by parabolic type PDEs. The model is subject to parametric uncertainty entering in both the domain equation and the boundary condition. An adaptive boundary observer, providing online estimates of the system state and parameters, is designed using finite- and infinite-dimensional backsteppinglike transformations. The observer is exponentially convergent under an ad hoc persistent excitation condition.

• 出版日期2016-10