Formal methods for control synthesis: An optimization perspective

C Belta, S Sadraddini - Annual Review of Control, Robotics, and …, 2019 - annualreviews.org
In control theory, complicated dynamics such as systems of (nonlinear) differential equations
are controlled mostly to achieve stability. This fundamental property, which can be with …

Toward model-free safety-critical control with humans in the loop

W **ao, A Li, CG Cassandras, C Belta - Annual Reviews in Control, 2024 - Elsevier
This vision article shows how to build on the framework of event-triggered Control Barrier
Functions (CBFs) to design model-free controllers for safety-critical multi-agent systems with …

Formal verification of unknown discrete-and continuous-time systems: A data-driven approach

A Nejati, A Lavaei, P Jagtap… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article is concerned with a formal verification scheme for both discrete-and continuous-
time deterministic systems with unknown mathematical models. The main target is to verify …

[HTML][HTML] Data-driven abstraction-based control synthesis

M Kazemi, R Majumdar, M Salamati, S Soudjani… - Nonlinear Analysis …, 2024 - Elsevier
This paper studies formal synthesis of controllers for continuous-space systems with
unknown dynamics to satisfy requirements expressed as linear temporal logic formulas …

Data-driven controller synthesis of unknown nonlinear polynomial systems via control barrier certificates

A Nejati, B Zhong, M Caccamo… - Learning for Dynamics …, 2022 - proceedings.mlr.press
In this work, we propose a data-driven approach to synthesize safety controllers for
continuous-time nonlinear polynomial-type systems with unknown dynamics. The proposed …

Data-driven safety verification of stochastic systems via barrier certificates: A wait-and-judge approach

A Salamati, M Zamani - Learning for Dynamics and Control …, 2022 - proceedings.mlr.press
We provide a data-driven approach equipped with a formal guarantee for verifying the safety
of stochastic systems with unknown dynamics. First, using a notion of barrier certificates, the …

Verifiably safe off-model reinforcement learning

N Fulton, A Platzer - International Conference on Tools and Algorithms for …, 2019 - Springer
The desire to use reinforcement learning in safety-critical settings has inspired a recent
interest in formal methods for learning algorithms. Existing formal methods for learning and …

Data-driven synthesis of safety controllers via multiple control barrier certificates

A Nejati, M Zamani - IEEE Control Systems Letters, 2023 - ieeexplore.ieee.org
This letter proposes a data-driven framework to synthesize safety controllers for nonlinear
systems with finite input sets and unknown mathematical models. The proposed scheme …

Event-triggered control for safety-critical systems with unknown dynamics

W **ao, C Belta, CG Cassandras - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This article addresses the problem of safety-critical control for multiagent systems with
unknown dynamics in unknown environments. It has been shown that stabilizing affine …

Data-driven abstractions for verification of linear systems

R Coppola, A Peruffo, M Mazo - IEEE Control Systems Letters, 2023 - ieeexplore.ieee.org
We introduce a novel approach for the construction of symbolic abstractions-simpler, finite-
state models-which mimic the behaviour of a system of interest, and are commonly utilized to …