Abstract
Local explicit feedback boundary conditions are given for the stabilization in L2-norm of the 2-D shallow water model. The proposed method is based on symmetrization of the flux matrices of the linearized model and analysis of the Riemann invariants. The non-conservative 2-D shallow water equations are linearized around the target steady state sub-critical flow. The established feedback control laws guarantee a decay of the energy of the perturbation model. We present numerical simulations to demonstrate how the proposed controller works for the linearized as well as nonlinear shallow water problem.
| Original language | English |
|---|---|
| Pages (from-to) | 41-53 |
| Number of pages | 13 |
| Journal | International Journal of Dynamics and Control |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Mar 2013 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2013, Springer-Verlag Berlin Heidelberg.
Keywords
- 2-D shallow water equations
- Boundary control
- Symmetrization
- Water management
ASJC Scopus subject areas
- Control and Systems Engineering
- Civil and Structural Engineering
- Modeling and Simulation
- Mechanical Engineering
- Control and Optimization
- Electrical and Electronic Engineering
