 Automatic Control LaboratoryOpen OpportunitiesIn this project, we will explore an alternative approach to learning nonlinear dynamical systems using slow spectral submanifolds (SSMs). SSMs decomposes nonlinear system dynamics into nonlinear eigenspaces, and distinguishes them by their dominant (slow) and transient (fast) behaviors. From these eigenspaces, we can learn nonlinear dynamical models by selecting the dominant eigenspaces in a similar fashion as EDMD-based model approximation. - Dynamical Systems, Systems Theory and Control
- ETH Zurich (ETHZ)
| Water storage reservoirs are critical infrastructure for energy production, water supply, and flood protection. The state-of-the-art for operating reservoirs is forecasted informed model predictive control. This project proposes an alternative, data-driven approach - rather than attempting to model the complex dynamics between weather forecasts and reservoir river inflow, the data-driven approach learns these dynamics from data. This thesis seeks to make a notable contribution to data-driven reservoir management. - Electrical and Electronic Engineering, Mechanical and Industrial Engineering, Water and Sanitary Engineering
- Master Thesis
| This project deals with the design and analysis of fertilization control strategies. The goal is to minimize over-fertilization while ensuring sufficient nutrification of the crops. Therefore, it is required to study literature on dynamical models of nitrogen in soil, extract a suitable model and implement it in a simulation. Then, design a suitable, formally verifyable control algorithm and analyse the potential of optimal fertilization strategies in agriculture. The control tools may range from dynamic programming (with a-priori guarantees) to reinforcement learning (with statistical a-posteriori guarantees) and beyond. - Systems Theory and Control, Systems Theory and Control
- ETH Zurich (ETHZ), Master Thesis
| This project aims at automatically learning problem-dependent uncertainty sets by exploiting available data on the uncertain parameters, hence surpassing the limitations of traditional methods such as robust and stochastic optimization approaches that assume the exact knowledge of the support set and of the probability distribution respectively. - Information, Computing and Communication Sciences, Optimisation, Systems Theory and Control
- Master Thesis, Semester Project
| Sum-of-Squares (SOS) relaxation is a beautiful technique to solve nonconvex optimization problems. As computational capabilities continue to increase, so is the scope of engineering challenges that can be tackled with this method. The goal of this project is to exploit the flexibility of SOS relaxations to design new data-driven control methods for linear dynamics, that can more efficiently incorporate prior knowledge on the system and cope with noisy input-output data. - Dynamical Systems, Optimisation, Systems Theory and Control
- Applications (IfA), Computation (IfA), Master Thesis, Theory (IfA)
| The objective of this project is the design and analysis of a smart recommender system as a dynamic feedback controller that, given (some of) the opinions in the system (measured outputs), provides news (namely, the control input) which is tailored to it. The recommender system objective is to optimize his performances, e.g., to maximize engagement, reduce polarization, or robustify against malicious agents. In contrast to other works, we will incorporate learning into this design, using methods from Data-Driven Control. - Electrical and Electronic Engineering, Systems Theory and Control
- ETH Zurich (ETHZ), Master Thesis
| The revolutionary appeal of cryptocurrencies and the underlying distributed ledgers is that no one owns them. They are highly democratic systems (at least in principle): the community sets the rules of the ledger and maintains it. This has the unique feature of being highly dynamic and adaptable to the latest greatest in technology and societal needs. But to fully deliver on their appeal, distributed ledgers must employ a fair and efficient mechanism for self-governance. Should a ledger change its protocol, e.g., from proof-of-work to proof-of-stake? How should a newly identified bug be resolved? Many distributed ledgers have adopted voting-like mechanisms for this purpose, but crucially, voting rights are associated with the amount of tokens owned, and as a direct consequence, with the wealth of the users, contradicting the most basic principles of democracy. However, unlike in classical political decisions, crypto-governance decisions are highly dynamic and frequent - they almost occur in real-time. This makes them especially suited for a karma economy, which has been recently demonstrated to achieve highly fair and efficient outcomes in repetitive settings in a completely non-monetary manner. - Systems Theory and Control
- Master Thesis, Semester Project
| The development of Large Language Models (LLMs), like ChatGPT and GPT-4, has influenced
the field of Natural Language Processing and Artificial Intelligence with their exceptional proficiency in comprehending and generating language, alongside their notable generalization and reasoning abilities. Consequently, recent research efforts have focused on leveraging the capabilities of LLMs to improve recommender systems. Recommender systems significantly influence human behavior by shaping users’ preferences, decision-making processes, and overall engagement with digital content. This project develops on the interpretation of recommender systems (controller) in feedback interaction with the users (system), [3]. By following a similar approach to [2], we will investigate how a careful integration of a LLM with a Model Predictive Control (MPC) framework can enhance recommender systems by ensuring accurate and adaptable recommendations while considering user preferences and constraints.
Understanding the influence of recommender systems over users behaviour and managing it effectively will be enhanced through the MPC framework, which offers a structured and interpretable approach to recommendation optimization. - Automotive Engineering, Computer Communications Networks, Electrical Engineering, Mechanical and Industrial Engineering
- ETH Zurich (ETHZ), Master Thesis, Semester Project
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