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Controllers for autonomous systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modelled as process noise, and common assumptions are that the underlying distributions are…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom S. Badings , Alessandro Abate , Nils Jansen , David Parker , Hasan A. Poonawala , Marielle Stoelinga

Capturing uncertainty in models of complex dynamical systems is crucial to designing safe controllers. Stochastic noise causes aleatoric uncertainty, whereas imprecise knowledge of model parameters leads to epistemic uncertainty. Several…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom Badings , Licio Romao , Alessandro Abate , Nils Jansen

Automated synthesis of correct-by-construction controllers for autonomous systems is crucial for their deployment in safety-critical scenarios. Such autonomous systems are naturally modeled as stochastic dynamical models. The general…

Systems and Control · Electrical Eng. & Systems 2023-11-17 Thom Badings , Nils Jansen , Licio Romao , Alessandro Abate

We introduce a framework for the control of discrete-time switched stochastic systems with uncertain distributions. In particular, we consider stochastic dynamics with additive noise whose distribution lies in an ambiguity set of…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo

Safety in stochastic control systems, which are subject to random noise with a known probability distribution, aims to compute policies that satisfy predefined operational constraints with high confidence throughout the uncertain evolution…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Saber Omidi , Marek Petrik , Se Young Yoon , Momotaz Begum

This work addresses the general problem of control synthesis for continuous-space, discrete-time stochastic systems with probabilistic guarantees via finite abstractions. While established methods exist, they often trade off accuracy for…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Ibon Gracia , Morteza Lahijanian

The automated synthesis of control policies for stochastic dynamical systems presents significant challenges. A standard approach is to construct a finite-state abstraction of the continuous system, typically represented as a Markov…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Mahdi Nazeri , Thom Badings , Sadegh Soudjani , Alessandro Abate

Neural networks (NNs) are emerging as powerful tools to represent the dynamics of control systems with complicated physics or black-box components. Due to complexity of NNs, however, existing methods are unable to synthesize complex…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Steven Adams , Morteza Lahijanian , Luca Laurenti

The abstraction of dynamical systems is a powerful tool that enables the design of feedback controllers using a correct-by-design framework. We investigate a novel scheme to obtain data-driven abstractions of discrete-time stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Rudi Coppola , Andrea Peruffo , Licio Romao , Alessandro Abate , Manuel Mazo

Neural networks serve as effective controllers in a variety of complex settings due to their ability to represent expressive policies. The complex nature of neural networks, however, makes their output difficult to verify and predict, which…

Artificial Intelligence · Computer Science 2021-10-22 Sydney M. Katz , Kyle D. Julian , Christopher A. Strong , Mykel J. Kochenderfer

This paper introduces a novel abstraction-based framework for controller synthesis of nonlinear discrete-time stochastic systems. The focus is on probabilistic reach-avoid specifications. The framework is based on abstracting a stochastic…

Systems and Control · Electrical Eng. & Systems 2025-03-10 Frederik Baymler Mathiesen , Sofie Haesaert , Luca Laurenti

Automated synthesis of provably correct controllers for cyber-physical systems is crucial for deployment in safety-critical scenarios. However, hybrid features and stochastic or unknown behaviours make this problem challenging. We propose a…

Systems and Control · Electrical Eng. & Systems 2023-08-07 Luke Rickard , Thom Badings , Licio Romao , Alessandro Abate

Synthesising verifiably correct controllers for dynamical systems is crucial for safety-critical problems. To achieve this, it is important to account for uncertainty in a robust manner, while at the same time it is often of interest to…

Systems and Control · Electrical Eng. & Systems 2024-05-16 Luke Rickard , Alessandro Abate , Kostas Margellos

We propose a stochastic Model Predictive Control (MPC) framework that ensures closed-loop chance constraint satisfaction for linear systems with general sub-Gaussian process and measurement noise. By considering sub-Gaussian noise, we can…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Yunke Ao , Johannes Köhler , Manish Prajapat , Yarden As , Melanie Zeilinger , Philipp Fürnstahl , Andreas Krause

We present an optimization-based framework for robust permissive synthesis for Interval Markov Decision Processes (IMDPs), motivated by robotic decision-making under transition uncertainty. In many robotic systems, model inaccuracies and…

Robotics · Computer Science 2026-03-17 Khang Vo Huynh , David Parker , Lu Feng

Probabilistic models such as Gaussian processes (GPs) are powerful tools to learn unknown dynamical systems from data for subsequent use in control design. While learning-based control has the potential to yield superior performance in…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Alexander von Rohr , Matthias Neumann-Brosig , Sebastian Trimpe

We study feedback controller synthesis for reach-avoid control of discrete-time, linear time-invariant (LTI) systems with Gaussian process and measurement noise. The problem is to compute a controller such that, with at least some required…

Artificial Intelligence · Computer Science 2023-09-13 Thom Badings , Hasan A. Poonawala , Marielle Stoelinga , Nils Jansen

This work establishes a crucial step toward advancing data-driven trajectory-based methods for stochastic systems with unknown mathematical dynamics. In contrast to scenario-based approaches that rely on independent and identically…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Abolfazl Lavaei

Controlling stochastic systems with unknown dynamics and under complex specifications is specially challenging in safety-critical settings, where performance guarantees are essential. We propose a data-driven policy synthesis framework that…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Ibon Gracia , Morteza Lahijanian

In many real-world dynamical systems, obtaining precise models of system uncertainty remains a challenge. It may be difficult to estimate noise distributions or robustness bounds, especially when the distributions/robustness bounds vary…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Heling Zhang , Lillian J. Ratliff , Roy Dong
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