Name
Title | ||
|---|---|---|
Adaptive observer design for wave PDEs with nonlinear dynamics and parameter uncertainty |
Abstract | ||
|---|---|---|
We consider the problem of state observer design for wave PDEs containing Lipschitz nonlinearities in the domain and parameter uncertainties in the domain and at the boundaries. Using the decoupling-transformation design approach, we develop an adaptive boundary observer consisting of a state observer, a least-squares type parameter adaptive law, and a hyperbolic auxiliary filter. Using Lyapunov stability analysis, we show that the observer is exponentially convergent under a persistent excitation condition. The novelty is twofold: (i) the class of systems is much wider than those studied in previous works, it particularly accounts for structured disturbances acting on the domain and all boundaries; (ii) the proposed adaptive observer is quite different from existing ones for wave-type PDEs. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.automatica.2020.109295 | Automatica |
DocType | Volume | Issue |
Journal | 123 | 1 |
ISSN | Citations | PageRank |
0005-1098 | 1 | 0.35 |
References | Authors | |
0 | 6 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Abdeljalil Benabdelhadi | 1 | 1 | 0.35 |
| F. Giri | 2 | 110 | 29.41 |
| Tarek Ahmed-Ali | 3 | 245 | 26.90 |
| Miroslav Krstic | 4 | 4987 | 553.84 |
| H. El Fadil∗ | 5 | 3 | 4.44 |
| Fatima-Zahra Chaoui | 6 | 20 | 6.91 |