Boundary Control of Shallow Water Waves

Mamadou Diagne

Associate Professor of Mechanical & Aerospace Engineering
University of California San Diego

Seminar Information

Seminar Series
Fluid Mechanics, Combustion, & Engineering Physics

Seminar Date - Time
March 3, 2025, 3:00 pm
-
4:00

Seminar Location
Hybrid: In Person & Zoom (connection in link below)

Engineering Building Unit 2 (EBU2)
Room 479

Seminar Recording NOT Available

Mamadou Diagne

Abstract

Efficient water management strategies protect our planet from potential climate catastrophes. To avert potential climate disasters, preserve the vital relationships between water, food, energy, and population growth, and maintain a delicate balance of living ecosystems, we must promote and implement efficient water management strategies at local, national, and global levels. Often, water is extracted for various purposes, whether through gate or dam manipulation, which can significantly impact the stability and health of ecosystems in the surrounding environment. The alteration of the flow regimes affects not only the natural flow in rivers but can cause substantial losses of natural habitats, and degrade water quality and temperature while inducing severe disruptions in diverse ecological processes that sustain biodiversity.

The primary focus of this talk is to address the challenges associated with managing water resources in human-engineered watercourses. First, I will discuss the design of observer-based boundary control strategies (including event-based boundary control), that guarantee exponential stability or exponential convergence for a class of coupled hyperbolic partial differential equations (PDEs) encompassing the well-known Saint-Venant equations. The second part of the talk addresses the stabilization of spatiotemporal dynamics of water and sediment layers in rivers under actuation. I will present results on the exponential stabilization of the sediment transport process with a continuous-time boundary control law.

Speaker Bio

Mamadou Diagne is an Associate Professor with the Department of Mechanical and Aerospace Engineering at the University of California San Diego. He completed his Ph.D. in 2013 at the University Claude Bernard Lyon I in Villeurbanne (France). Between 2017 and 2022, he was an Assistant Professor with the Department of Mechanical Aerospace and Nuclear Engineering at Rensselaer Polytechnic Institute, Troy, New York. From 2013 to 2016, he was a Postdoctoral Scholar, first at the University of California San Diego, and then at the University of Michigan. His research focuses on the control of distributed parameter systems, adaptive control, predictor feedback design for time-delay systems, extremum seeking control. He has served as Associate Editor for Automatica, Systems & Control Letters and ASME Journal of Dynamic Systems, Measurement, and Control. He is Vice-Chair for Industry of the IFAC Technical Committee on Adaptive and Learning Systems and Vice-Chair for Education of the IFAC Technical Committee on Distributed Parameter Systems. He received the NSF Career Award in 2020.