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We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

系统与控制 · 电气工程与系统科学 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

This paper introduces the notion of an Input Constrained Control Barrier Function (ICCBF), as a method to synthesize safety-critical controllers for non-linear control affine systems with input constraints. The method identifies a subset of…

最优化与控制 · 数学 2023-03-15 Devansh Agrawal , Dimitra Panagou

As perception-based controllers for autonomous systems become increasingly popular in the real world, it is important that we can formally verify their safety and performance despite perceptual uncertainty. Unfortunately, the verification…

机器人学 · 计算机科学 2026-04-16 Albert Lin , Alessandro Pinto , Somil Bansal

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

Designing the terminal ingredients of direct data-driven predictive control presents challenges due to its reliance on an implicit, non-minimal input-output data-driven representation. By considering the class of constrained LTI systems…

系统与控制 · 电气工程与系统科学 2024-11-04 Mohammad Bajelani , Walter Lucia , Klaske van Heusden

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…

系统与控制 · 电气工程与系统科学 2022-01-03 Siyuan Liu , Majid Zamani

This paper presents a Directed Controller Synthesis (DCS) technique for discrete event systems. The DCS method explores the solution space for reactive controllers guided by a domain-independent heuristic. The heuristic is derived from an…

系统与控制 · 计算机科学 2016-06-01 Daniel Ciolek , Victor Braberman , Nicolás D'Ippolito , Sebastián Uchitel

Inner-approximate reachability analysis involves calculating subsets of reachable sets, known as inner-approximations. This analysis is crucial in the fields of dynamic systems analysis and control theory as it provides a reliable…

系统与控制 · 电气工程与系统科学 2024-05-22 Dejin Ren , Zhen Liang , Chenyu Wu , Jianqiang Ding , Taoran Wu , Bai Xue

In this thesis, the synthesis of correct-by-construction controllers for robots assisting in Search and Rescue (SAR) is considered. In recent years, the development of robots assisting in disaster mitigation in urban environments has been…

系统与控制 · 计算机科学 2013-04-26 Clemens Wiltsche

This paper presents a computationally lightweight and robust control framework for differential-drive mobile robots with dynamic uncertainties and external disturbances, guaranteeing the satisfaction of Temporal Reach-Avoid-Stay (T-RAS)…

机器人学 · 计算机科学 2026-04-07 Ratnangshu Das , Ahan Basu , Christos Verginis , Pushpak Jagtap

Backward reachability analysis computes the set of states that reach a target set under the competing influence of control input and disturbances. Depending on their interplay, the backward reachable set either represents all states that…

数值分析 · 数学 2025-09-19 Mark Wetzlinger , Matthias Althoff

We consider finite horizon reach-avoid problems for discrete time stochastic systems. Our goal is to construct upper bound functions for the reach-avoid probability by means of tractable convex optimization problems. We achieve this by…

最优化与控制 · 数学 2015-06-11 Nikolaos Kariotoglou , Maryam Kamgarpour , Tyler H. Summers , John Lygeros

In this work, we consider the problem of learning a feed-forward neural network controller to safely steer an arbitrarily shaped planar robot in a compact and obstacle-occluded workspace. Unlike existing methods that depend strongly on the…

系统与控制 · 电气工程与系统科学 2022-12-14 Panagiotis Vlantis , Leila J. Bridgeman , Michael M. Zavlanos

We consider the problem of safety verification and safety-aware controller synthesis for systems with sector bounded nonlinearities. We aim to keep the states of the system within a given safe set under potential actuator and sensor…

系统与控制 · 电气工程与系统科学 2025-04-15 Yankai Lin , Michelle S. Chong , Carlos Murguia

This study proposes an algorithm to synthesize controllers for the power management on board hybrid vehicles that allows the vehicle to reach its maximum range along a given route. The algorithm stems from a level-set approach that computes…

最优化与控制 · 数学 2012-09-27 Giovanni Granato

Stability and safety are crucial in safety-critical control of dynamical systems. The reach-avoid-stay objectives for deterministic dynamical systems can be effectively handled by formal methods as well as Lyapunov methods with soundness…

动力系统 · 数学 2022-06-03 Yiming Meng , Jun Liu

Learning reliably safe autonomous control is one of the core problems in trustworthy autonomy. However, training a controller that can be formally verified to be safe remains a major challenge. We introduce a novel approach for learning…

机器学习 · 计算机科学 2024-11-19 Junlin Wu , Huan Zhang , Yevgeniy Vorobeychik

We consider controller synthesis for stochastic and partially unknown environments in which safety is essential. Specifically, we abstract the problem as a Markov decision process in which the expected performance is measured using a cost…

软件工程 · 计算机科学 2015-10-21 Sebastian Junges , Nils Jansen , Christian Dehnert , Ufuk Topcu , Joost-Pieter Katoen

Planning robust executions under uncertainty is a fundamental challenge for building autonomous robots. Partially Observable Markov Decision Processes (POMDPs) provide a standard framework for modeling uncertainty in many applications. In…

机器人学 · 计算机科学 2018-05-10 Yue Wang , Swarat Chaudhuri , Lydia E. Kavraki

Model-based reinforcement learning (RL) has emerged as a promising tool for developing controllers for real world systems (e.g., robotics, autonomous driving, etc.). However, real systems often have constraints imposed on their state space…

机器学习 · 计算机科学 2020-10-22 Akshita Gupta , Inseok Hwang