We derive a feedback control law for the control of the downstream flow in a 1-D open channel by manipulating the water flow at an upstream location. We use backstepping for controller design and Lyapunov techniques for stability analysis. Finally, the controller is verified with simulations.
Stability Analysis of Trajectories on Manifolds with Applications to Observer and Controller Design
Polynomial Optimization with Applications to Stability Analysis and Control - Alternatives to Sum of Squares
Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints
![QR code for arXiv:1410.8147 [math.OC]](http://oss.arxitics.com/images/favicon.svg)