Backstepping feedback control of open channel flow
Mandy Huo, Sami Malek
TL;DR
This paper develops a backstepping-based feedback control law for regulating flow in a 1-D open channel, ensuring stability and effectiveness through Lyapunov analysis and simulation validation.
Contribution
It introduces a novel backstepping control approach combined with Lyapunov methods for open channel flow regulation.
Findings
Controller achieves stable flow regulation
Lyapunov analysis confirms stability
Simulations demonstrate effectiveness
Abstract
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.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Model Reduction and Neural Networks · Advanced Mathematical Modeling in Engineering