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 present a semi-algebraic approach to constraint tightening for 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…
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…
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…
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…