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Chance constrained program where one seeks to minimize an objective over decisions which satisfy randomly disturbed constraints with a given probability is computationally intractable. This paper proposes an approximate approach to address…

统计计算 · 统计学 2019-12-23 Xun Shen , Jiancang Zhuang , Xingguo Zhang

Validating and controlling safety-critical systems in uncertain environments necessitates probabilistic reachable sets of future state evolutions. The existing methods of computing probabilistic reachable sets normally assume that…

系统与控制 · 电气工程与系统科学 2025-02-03 Xun Shen , Ye Wang , Kazumune Hashimoto , Yuhu Wu , Sebastien Gros

Biopharmaceutical manufacturing is a rapidly growing industry with impact in virtually all branches of medicines. Biomanufacturing processes require close monitoring and control, in the presence of complex bioprocess dynamics with many…

人工智能 · 计算机科学 2022-07-26 Hua Zheng , Wei Xie , Ilya O. Ryzhov , Dongming Xie

Reinforcement learning is a widely used approach to autonomous navigation, showing potential in various tasks and robotic setups. Still, it often struggles to reach distant goals when safety constraints are imposed (e.g., the wheeled robot…

机器人学 · 计算机科学 2024-08-27 Brian Angulo , Gregory Gorbov , Aleksandr Panov , Konstantin Yakovlev

Safe reinforcement learning is a promising path toward applying reinforcement learning algorithms to real-world problems, where suboptimal behaviors may lead to actual negative consequences. In this work, we focus on the setting where…

机器学习 · 计算机科学 2022-02-17 Garrett Thomas , Yuping Luo , Tengyu Ma

Model predictive control allows solving complex control tasks with control and state constraints. However, an optimal control problem must be solved in real-time to predict the future system behavior, which is hardly possible on embedded…

系统与控制 · 电气工程与系统科学 2023-04-13 Jan Olucak , Walter Fichter , Torbjørn Cunis

We introduce a framework for the control of discrete-time switched stochastic systems with uncertain distributions. In particular, we consider stochastic dynamics with additive noise whose distribution lies in an ambiguity set of…

系统与控制 · 电气工程与系统科学 2024-05-21 Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo

Policy gradient methods are an appealing approach in reinforcement learning because they directly optimize the cumulative reward and can straightforwardly be used with nonlinear function approximators such as neural networks. The two main…

机器学习 · 计算机科学 2018-10-23 John Schulman , Philipp Moritz , Sergey Levine , Michael Jordan , Pieter Abbeel

Deep learning has enjoyed much recent success, and applying state-of-the-art model learning methods to controls is an exciting prospect. However, there is a strong reluctance to use these methods on safety-critical systems, which have…

系统与控制 · 电气工程与系统科学 2021-07-06 David D. Fan , Jennifer Nguyen , Rohan Thakker , Nikhilesh Alatur , Ali-akbar Agha-mohammadi , Evangelos A. Theodorou

This paper proposes a mechanism to fine-tune convex approximations of probabilistic reachable sets (PRS) of uncertain dynamic systems. We consider the case of unbounded uncertainties, for which it may be impossible to find a bounded…

机器人学 · 计算机科学 2024-02-06 Pengcheng Wu , Sonia Martinez , Jun Chen

The paper addresses the problem of controller synthesis for control-affine nonlinear systems to meet reach-avoid-stay specifications. Specifically, the goal of the research is to obtain a closed-form control law ensuring that the…

系统与控制 · 电气工程与系统科学 2024-02-15 Ratnangshu Das , Pushpak Jagtap

In this paper we study the reachability problem for discrete-time nonlinear stochastic systems. Our goal is to present a unified framework for calculating the probabilistic reachable set of discrete-time systems in the presence of both…

系统与控制 · 电气工程与系统科学 2024-09-17 Zishun Liu , Saber Jafarpour , Yongxin Chen

We study the computational complexity of approximating general constrained Markov decision processes. Our primary contribution is the design of a polynomial time $(0,\epsilon)$-additive bicriteria approximation algorithm for finding optimal…

数据结构与算法 · 计算机科学 2025-02-12 Jeremy McMahan

This paper investigates reinforcement learning with constraints, which are indispensable in safety-critical environments. To drive the constraint violation monotonically decrease, we take the constraints as Lyapunov functions and impose new…

机器学习 · 计算机科学 2021-05-07 Chuangchuang Sun , Dong-Ki Kim , Jonathan P. How

Control of non-episodic, finite-horizon dynamical systems with uncertain dynamics poses a tough and elementary case of the exploration-exploitation trade-off. Bayesian reinforcement learning, reasoning about the effect of actions and future…

机器学习 · 统计学 2016-08-12 Edgar D. Klenske , Philipp Hennig

Navigating urban intersections, especially when interacting with heterogeneous traffic participants, presents a formidable challenge for autonomous vehicles (AVs). In such environments, safety risks arise simultaneously from multiple…

系统与控制 · 电气工程与系统科学 2026-01-30 Yuansheng Lian , Ke Zhang , Yaming Guo , Shen Li , Meng Li

In this paper, we present an online reinforcement learning algorithm for constrained Markov decision processes with a safety constraint. Despite the necessary attention of the scientific community, considering stochastic stopping time, the…

机器学习 · 计算机科学 2024-03-26 Abhijit Mazumdar , Rafal Wisniewski , Manuela L. Bujorianu

Density of the reachable states can help understand the risk of safety-critical systems, especially in situations when worst-case reachability is too conservative. Recent work provides a data-driven approach to compute the density…

机器人学 · 计算机科学 2022-09-19 Yue Meng , Zeng Qiu , Md Tawhid Bin Waez , Chuchu Fan

This paper considers a risk-constrained infinite-horizon optimal control problem and proposes to solve it in an iterative manner. Each iteration of the algorithm generates a trajectory from the starting point to the target equilibrium state…

最优化与控制 · 数学 2021-11-29 Alireza Zolanvari , Ashish Cherukuri

This paper investigates the problem of designing control policies that satisfy high-level specifications described by signal temporal logic (STL) in unknown, stochastic environments. While many existing works concentrate on optimizing the…

系统与控制 · 电气工程与系统科学 2024-12-16 Siqi Wang , Shaoyuan Li , Li Yin , Xiang Yin