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Recent advances in Deep Machine Learning have shown promise in solving complex perception and control loops via methods such as reinforcement and imitation learning. However, guaranteeing safety for such learned deep policies has been a…

Robotics · Computer Science 2020-03-03 Tom Hirshberg , Sai Vemprala , Ashish Kapoor

This paper addresses the design of safety certificates for stochastic systems, with a focus on ensuring long-term safety through fast real-time control. In stochastic environments, set invariance-based methods that restrict the probability…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Zhuoyuan Wang , Haoming Jing , Christian Kurniawan , Albert Chern , Yorie Nakahira

Gaussian Processes (GPs) are widely employed in control and learning because of their principled treatment of uncertainty. However, tracking uncertainty for iterative, multi-step predictions in general leads to an analytically intractable…

This paper presents an approach to deal with safety of dynamical systems in presence of multiple non-convex unsafe sets. While optimal control and model predictive control strategies can be employed in these scenarios, they suffer from high…

Systems and Control · Electrical Eng. & Systems 2021-06-14 Gennaro Notomista , Matteo Saveriano

Ensuring safety under unknown and stochastic dynamics remains a significant challenge in reinforcement learning (RL). In this paper, we propose a model predictive control (MPC)-based safe RL framework, called Probabilistic Ensembles with…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Ali Umut Kaypak , Prashanth Krishnamurthy , Farshad Khorrami

Many systems contain latent variables that make their dynamics partially unidentifiable or cause distribution shifts in the observed statistics between offline and online data. However, existing control techniques often assume access to…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Haoming Jing , Yorie Nakahira

Safety and tracking stability are crucial for safety-critical systems such as self-driving cars, autonomous mobile robots, industrial manipulators. To efficiently control safety-critical systems to ensure their safety and achieve tracking…

Robotics · Computer Science 2020-09-22 Lei Zheng , Jiesen Pan , Rui Yang , Hui Cheng , Haifeng Hu

Algorithmic verification of realistic systems to satisfy safety and other temporal requirements has suffered from poor scalability of the employed formal approaches. To design systems with rigorous guarantees, many approaches still rely on…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

This paper studies a data-driven predictive control for a class of control-affine systems which is subject to uncertainty. With the accessibility to finite sample measurements of the uncertain variables, we aim to find controls which are…

Optimization and Control · Mathematics 2021-05-03 Dan Li , Dariush Fooladivanda , Sonia Martinez

Machine teaching can be viewed as optimal control for learning. Given a learner's model, machine teaching aims to determine the optimal training data to steer the learner towards a target hypothesis. In this paper, we are interested in…

Systems and Control · Computer Science 2019-08-06 Mohamadreza Ahmadi , Bo Wu , Yuxin Chen , Yisong Yue , Ufuk Topcu

Control barrier functions are widely used to synthesize safety-critical controls. However, the presence of Gaussian-type noise in dynamical systems can generate unbounded signals and potentially result in severe consequences. Although…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Chuanzheng Wang , Yiming Meng , Jun Liu , Stephen Smith

We consider the problem of verifying safety for continuous-time dynamical systems. Developing upon recent advancements in data-driven verification, we use only a finite number of sampled trajectories to learn a barrier certificate, namely a…

Systems and Control · Electrical Eng. & Systems 2025-08-11 Luke Rickard , Alessandro Abate , Kostas Margellos

Established techniques that enable robots to learn from demonstrations are based on learning a stable dynamical system (DS). To increase the robots' resilience to perturbations during tasks that involve static obstacle avoidance, we propose…

This paper addresses the challenge of integrating explicit hard constraints into the control barrier function (CBF) framework for ensuring safety in autonomous systems, including robots. We propose a novel data-driven method to derive CBFs…

Robotics · Computer Science 2023-12-14 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

Safety of stochastic dynamic systems in environments with dynamic obstacles is studied in this paper through the lens of stochastic barrier functions. We introduce both time-invariant and time-varying barrier certificates for discrete-time,…

Robotics · Computer Science 2026-04-23 Rayan Mazouz , Luca Laurenti , Morteza Lahijanian

We develop a control algorithm that ensures the safety, in terms of confinement in a set, of a system with unknown, 2nd-order nonlinear dynamics. The algorithm establishes novel connections between data-driven and robust, nonlinear control.…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Christos K. Verginis , Franck Djeumou , Ufuk Topcu

This paper introduces a new formulation for stochastic optimal control and stochastic dynamic optimization that ensures safety with respect to state and control constraints. The proposed methodology brings together concepts such as…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Marcus Aloysius Pereira , Ziyi Wang , Ioannis Exarchos , Evangelos A. Theodorou

Safety in terms of collision avoidance for multi-robot systems is a difficult challenge under uncertainty, non-determinism and lack of complete information. This paper aims to propose a collision avoidance method that accounts for both…

Robotics · Computer Science 2020-12-09 Wenhao Luo , Wen Sun , Ashish Kapoor

Control tasks with safety requirements under high levels of model uncertainty are increasingly common. Machine learning techniques are frequently used to address such tasks, typically by leveraging model error bounds to specify robust…

Robotics · Computer Science 2025-06-13 Alexandre Capone , Ryan Cosner , Aaaron Ames , Sandra Hirche

Barrier certificates are scalar functions over the state space of dynamical systems that separate all unsafe states from all reachable states. The existence of a barrier certificate formally verifies the safety of the dynamical system.…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Miriam Kranzlmüller , Lukas Koller , Tobias Ladner , Matthias Althoff