7 papers
Beyond Ellipsoids: Semi-Algebraic Tightening for Chance Constraints Under Actuator Saturation
Carlo Karam, Mirko Fiacchini, Matteo Tacchi-Bénard
Motivated by stochastic model predictive control applications, we develop a semialgebraic framework for constraint tightening in chance-constrained systems with unbounded additive…
Data-driven approximation of regions of attraction via an LP-based selection of PWA Lyapunov functions
Oumayma Khattabi, Matteo Tacchi-Bénard, Martin Gulan +1
This paper presents a method to approximate regions of attraction of unknown nonlinear dynamical systems from data. Assuming point-wise evaluations of the vector field and known Li…
The Benefits of Diversity: Combining Comparisons and Ratings for Efficient Scoring
Julien Fageot, Matthias Grossglauser, Lê-Nguyên Hoang +2
Should humans be asked to evaluate entities individually or comparatively? This question has been the subject of long debates. In this work, we show that, interestingly, combining…
Optimal Control of H-Mode Tokamak Plasma Temperature based on Pontryagin's Principle
Slim Jmal, Matteo Tacchi-Bénard, Emmanuel Witrant
This paper studies the decay of an objective functional using a new control technique within Pontryagin's framework. Convergence analysis is carried out on the infinite-dimensional…
Convex computation of regions of attraction from data using Sums-of-Squares programming
Oumayma Khattabi, Matteo Tacchi, Sorin Olaru
This paper focuses on the analysis of the Region of Attraction (RoA) for unknown autonomous dynamical systems. A data-driven approach based on the moment-Sum-of-Squares (SoS) hiera…
Sequentially learning regions of attraction from data
Oumayma Khattabi, Matteo Tacchi-Bénard, Sorin Olaru
The paper is dedicated to data-driven analysis of dynamical systems. It deals with certifying the basin of attraction of a stable equilibrium for an unknown dynamical system. It is…
Probabilistic Reachable Set Estimation for Saturated Systems with Unbounded Additive Disturbances
Carlo Karam, Matteo Tacchi-Bénard, Mirko Fiacchini
In this paper, we present an analytical approach for the synthesis of ellipsoidal probabilistic reachable sets of saturated systems subject to unbounded additive noise. Using conve…