November 25, 2026 at 10 AM
Abstract*:*
Distributed parameter systems governed by partial differential equations (PDEs) arise in many engineering and environmental applications, where the quantities of interest evolve in both space and time but can only be measured at a few locations. Reconstructing the full spatial state from such limited measurements is the central problem of PDE state estimation. This talk presents an overview of observer design for reaction-advection-diffusion (RAD) systems, a class of models that covers transport-reaction processes such as bioreactors and water quality dynamics.
The talk highlights two methodological routes, distinguished by the moment at which the infinite-dimensional model is approximated. In early lumping, the PDE is first reduced to a finite-dimensional model, either through classical model reduction or through data-based techniques such as proper orthogonal decomposition (POD), and the observer is then designed on the reduced model, typically through LMI/SOS conditions. In late lumping, the observer is designed directly on the abstract operator description of the PDE, and the approximation is deferred to the implementation stage. Both routes can be framed within Lyapunov stability theory, which provides a common language to state convergence guarantees, and the talk compares their assumptions, strengths and limitations.
The talk closes with AmazonSense, the collaborative project between UTEC and CRIStAL, which aims to apply these tools to real-time water quality monitoring in Amazonian ecosystems, and discusses open problems and perspectives for joint research.
Short biography*:*
Dr. Ivan Yupanqui Tello received his BEng in Mechatronics Engineering from the Universidad Nacional de Ingeniería (UNI, Peru, 2010), his MSc in Electrical Engineering from the Universidade Estadual Paulista (UNESP, Brazil, 2016), and his PhD in Automation and Systems Engineering through a joint cotutelle program between the Universidade Federal de Santa Catarina (UFSC, Brazil) and the Université de Mons (UMONS, Belgium, 2021). He is currently a Researcher-Lecturer at the Universidad de Ingeniería y Tecnología (UTEC, Peru), with active funding from CONCYTEC-PROCIENCIA. His research interests include distributed parameter systems governed by partial differential equations (control, state estimation, and observer design), switched systems (control and filtering under switching logic), and data-driven methods. He has published results in international indexed journals and presented work at IFAC and IEEE conferences, with ongoing collaborations with research groups at UNESP, UFSC, and UMONS.
ESPRIT Building, Room Atrium
français
English