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相关论文: Simulation Based Computation of Certificates for S…

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This paper studies the problem of enforcing safety of a stochastic dynamical system over a finite time horizon. We use stochastic barrier functions as a means to quantify the probability that a system exits a given safe region of the state…

系统与控制 · 计算机科学 2019-05-30 Cesar Santoyo , Maxence Dutreix , Samuel Coogan

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…

最优化与控制 · 数学 2022-04-22 Han Wang , Kostas Margellos , Antonis Papachristodoulou

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…

系统与控制 · 电气工程与系统科学 2024-03-18 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

Many existing tools in nonlinear control theory for establishing stability or safety of a dynamical system can be distilled to the construction of a certificate function that guarantees a desired property. However, algorithms for…

机器学习 · 计算机科学 2020-09-15 Nicholas M. Boffi , Stephen Tu , Nikolai Matni , Jean-Jacques E. Slotine , Vikas Sindhwani

We present Barrier-based Simplex (Bb-Simplex), a new, provably correct design for runtime assurance of continuous dynamical systems. Bb-Simplex is centered around the Simplex control architecture, which consists of a high-performance…

系统与控制 · 电气工程与系统科学 2024-11-11 Amol Damare , Shouvik Roy , Roshan Sharma , Keith DSouza , Scott A. Smolka , Scott D. Stoller

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…

系统与控制 · 电气工程与系统科学 2024-10-29 Alec Edwards , Andrea Peruffo , Alessandro Abate

Motivated by the need to simultaneously guarantee safety and stability of safety-critical dynamical systems, we construct permissive barrier certificates in this paper that explicitly maximize the region where the system can be stabilized…

最优化与控制 · 数学 2018-02-27 Li Wang , Dongkun Han , Magnus Egerstedt

This paper is concerned with a compositional approach for the construction of control barrier certificates for large-scale interconnected stochastic systems while synthesizing hybrid controllers against high-level logic properties. Our…

系统与控制 · 电气工程与系统科学 2022-06-24 Mahathi Anand , Abolfazl Lavaei , Majid Zamani

We present a novel technique for online safety verification of autonomous systems, which performs reachability analysis efficiently for both bounded and unbounded horizons by employing neural barrier certificates. Our approach uses barrier…

系统与控制 · 电气工程与系统科学 2024-04-30 Alessandro Abate , Sergiy Bogomolov , Alec Edwards , Kostiantyn Potomkin , Sadegh Soudjani , Paolo Zuliani

In modern robotics, addressing the lack of accurate state space information in real-world scenarios has led to a significant focus on utilizing visuomotor observation to provide safety assurances. Although supervised learning methods, such…

机器人学 · 计算机科学 2024-09-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

We present a simulation-based approach for generating barrier certificate functions for safety verification of cyber-physical systems (CPS) that contain neural network-based controllers. A linear programming solver is utilized to find a…

系统与控制 · 计算机科学 2018-04-12 Cumhur Erkan Tuncali , James Kapinski , Hisahiro Ito , Jyotirmoy V. Deshmukh

For the design and implementation of engineering systems, performing model-based analysis can disclose potential safety issues at an early stage. The analysis of hybrid system models is in general difficult due to the intrinsic complexity…

系统与控制 · 计算机科学 2015-01-26 Yi Deng , Agung Julius

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…

最优化与控制 · 数学 2025-05-14 Marta Fochesato , Han Wang , Antonis Papachristodoulou , Paul Goulart

This paper focuses on synthesizing control policies for discrete-time stochastic control systems together with a lower bound on the probability that the systems satisfy the complex temporal properties. The desired properties of the system…

系统与控制 · 电气工程与系统科学 2020-08-07 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

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…

机器人学 · 计算机科学 2020-03-03 Tom Hirshberg , Sai Vemprala , Ashish Kapoor

Control barrier functions are mathematical constructs used to guarantee safety for robotic systems. When integrated as constraints in a quadratic programming optimization problem, instantaneous control synthesis with real-time performance…

机器人学 · 计算机科学 2020-03-12 Mohit Srinivasan , Amogh Dabholkar , Samuel Coogan , Patricio Vela

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…

Barrier certificates, serving as differential invariants that witness system safety, play a crucial role in the verification of cyber-physical systems (CPS). Prevailing computational methods for synthesizing barrier certificates are based…

系统与控制 · 电气工程与系统科学 2024-07-10 Hao Wu , Shenghua Feng , Ting Gan , Jie Wang , Bican Xia , Naijun Zhan

This paper develops a physics-informed scenario approach for safety verification of nonlinear systems using barrier certificates (BCs) to ensure that system trajectories remain within safe regions over an infinite time horizon. Designing…

系统与控制 · 电气工程与系统科学 2026-05-18 Ali Aminzadeh , MohammadHossein Ashoori , Amy Nejati , Abolfazl Lavaei

We consider the problem of designing finite-horizon safe controllers for a dynamical system for which no explicit analytical model exists and limited data only along a single trajectory of the system are available. Given samples of the…

最优化与控制 · 数学 2018-01-15 Mohamadreza Ahmadi , Arie Israel , Ufuk Topcu