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We study the problem of co-designing control barrier functions and linear state feedback controllers for discrete-time linear systems affected by additive disturbances. For disturbances of bounded magnitude, we provide a semi-definite…

Optimization and Control · Mathematics 2025-05-14 Marta Fochesato , Han Wang , Antonis Papachristodoulou , Paul Goulart

Model mismatches prevail in real-world applications. Ensuring safety for systems with uncertain dynamic models is critical. However, existing robust safe controllers may not be realizable when control limits exist. And existing methods use…

Robotics · Computer Science 2023-03-08 Tianhao Wei , Shucheng Kang , Weiye Zhao , Changliu Liu

Safety is the major consideration in controlling complex dynamical systems using reinforcement learning (RL), where the safety certificate can provide provable safety guarantee. A valid safety certificate is an energy function indicating…

Machine Learning · Computer Science 2022-05-27 Haitong Ma , Changliu Liu , Shengbo Eben Li , Sifa Zheng , Jianyu Chen

This paper presents a tractable framework for data-driven synthesis of robustly safe control laws. Given noisy experimental data and some priors about the structure of the system, the goal is to synthesize a state feedback law such that the…

Optimization and Control · Mathematics 2023-03-17 Jian Zheng , Tianyu Dai , Jared Miller , Mario Sznaier

In this paper we consider the safety verification and safe controller synthesis problems for nonlinear control systems. The Control Barrier Certificates (CBC) approach is proposed as an extension to the Barrier certificates approach. Our…

Optimization and Control · Mathematics 2022-04-22 Han Wang , Kostas Margellos , Antonis Papachristodoulou

Maintaining safety under adaptation has long been considered to be an important capability for autonomous systems. As these systems estimate and change the ego-model of the system dynamics, questions regarding how to develop safety…

Robotics · Computer Science 2021-09-08 Charles Noren , Weiye Zhao , Changliu Liu

In this work, we investigate the data-driven safe control synthesis problem for unknown dynamic systems. We first formulate the safety synthesis problem as a robust convex program (RCP) based on notion of control barrier function. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Yu Chen , Chao Shang , Xiaolin Huang , Xiang Yin

Modern nonlinear control theory seeks to endow systems with properties such as stability and safety, and has been deployed successfully across various domains. Despite this success, model uncertainty remains a significant challenge in…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Andrew J. Taylor , Victor D. Dorobantu , Sarah Dean , Benjamin Recht , Yisong Yue , Aaron D. Ames

In recent years, formal methods have been extensively used in the design of autonomous systems. By employing mathematically rigorous techniques, formal methods can provide fully automated reasoning processes with provable safety guarantees…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Xiang Yin , Bingzhao Gao , Xiao Yu

In this work, we present a compositional safety controller synthesis approach for the class of discrete-time linear control systems. Here, we leverage a state-of-the-art result on the computation of robust controlled invariant sets. To…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Siyuan Liu , Majid Zamani

The dramatic increase of autonomous systems subject to variable environments has given rise to the pressing need to consider risk in both the synthesis and verification of policies for these systems. This paper aims to address a few…

Artificial Intelligence · Computer Science 2022-04-22 Prithvi Akella , Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick , Aaron D. Ames

An emerging branch of control theory specialises in certificate learning, concerning the specification of a desired (possibly complex) system behaviour for an autonomous or control model, which is then analytically verified by means of a…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Alec Edwards , Andrea Peruffo , Alessandro Abate

This paper presents a method for the simultaneous synthesis of a barrier certificate and a safe controller for discrete-time nonlinear stochastic systems. Our approach, based on piecewise stochastic control barrier functions, reduces the…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Rayan Mazouz , Luca Laurenti , Morteza Lahijanian

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

This paper proposes a constructive approach to safety control of nonlinear cascade systems subject to multiple state constraints. New design ingredients include a unified characterization of safety and stability for systematic designs of…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Si Wu , Tengfei Liu , Zhong-Ping Jiang

Controller synthesis, including reset controller, feedback controller, and switching logic controller, provides an essential mechanism to guarantee the correctness and reliability of hybrid systems in a correct-by-construction manner.…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Jiang Liu , Han Su , Yunjun Bai , Bin Gu , Bai Xue , Mengfei Yang , Naijun Zhan

In this paper, we provide a direct data-driven approach to synthesize safety controllers for unknown linear systems affected by unknown-but-bounded disturbances, in which identifying the unknown model is not required. First, we propose a…

Systems and Control · Electrical Eng. & Systems 2023-01-16 Bingzhuo Zhong , Majid Zamani , Marco Caccamo

There has been significant recent interest in devising verification techniques for learning-enabled controllers (LECs) that manage safety-critical systems. Given the opacity and lack of interpretability of the neural policies that govern…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Zikang Xiong , Suresh Jagannathan

Verified controller synthesis uses world models that comprise all potential behaviours of humans, robots, further equipment, and the controller to be synthesised. A world model enables quantitative risk assessment, for example, by…

Software Engineering · Computer Science 2021-10-26 Mario Gleirscher , Jan Peleska

This paper develops a data-driven safe control framework for nonlinear discrete-time systems with parametric uncertainty and additive disturbances. The proposed approach constructs a data-consistent closed-loop representation that enables…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Amir Modares , Bahare Kiumarsi , Hamidreza Modares
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