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相关论文: Safe Non-Stochastic Control of Control-Affine Syst…

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We study the problem of \textit{safe control of linear dynamical systems corrupted with non-stochastic noise}, and provide an algorithm that guarantees (i) zero constraint violation of convex time-varying constraints, and (ii) bounded…

系统与控制 · 电气工程与系统科学 2023-08-25 Hongyu Zhou , Vasileios Tzoumas

We consider the problem of controlling an unknown linear dynamical system in the presence of (nonstochastic) adversarial perturbations and adversarial convex loss functions. In contrast to classical control, the a priori determination of an…

机器学习 · 计算机科学 2020-01-22 Elad Hazan , Sham M. Kakade , Karan Singh

This paper studies online nonstochastic control problems with adversarial and static constraints. We propose online nonstochastic control algorithms that achieve both sublinear regret and sublinear adversarial constraint violation while…

机器学习 · 计算机科学 2023-02-07 Xin Liu , Zixian Yang , Lei Ying

This text presents an introduction to an emerging paradigm in control of dynamical systems and differentiable reinforcement learning called online nonstochastic control. The new approach applies techniques from online convex optimization…

机器学习 · 计算机科学 2026-04-28 Elad Hazan , Karan Singh

We present safe control of partially-observed linear time-varying systems in the presence of unknown and unpredictable process and measurement noise. We introduce a control algorithm that minimizes dynamic regret, i.e., that minimizes the…

系统与控制 · 电气工程与系统科学 2023-04-03 Hongyu Zhou , Vasileios Tzoumas

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject to disturbances from an unknown but bounded uncertainty set.…

最优化与控制 · 数学 2021-04-23 Dongchan Lee , Konstantin Turitsyn , Jean-Jacques Slotine

We consider the problem of controlling a possibly unknown linear dynamical system with adversarial perturbations, adversarially chosen convex loss functions, and partially observed states, known as non-stochastic control. We introduce a…

机器学习 · 计算机科学 2020-06-26 Max Simchowitz , Karan Singh , Elad Hazan

This article investigates the problem of controlling linear time-invariant systems subject to time-varying and a priori unknown cost functions, state and input constraints, and exogenous disturbances. We combine the online convex…

系统与控制 · 电气工程与系统科学 2025-12-18 Marko Nonhoff , Emiliano Dall'Anese , Matthias A. Müller

We propose an algorithm based on online convex optimization for controlling discrete-time linear dynamical systems. The algorithm is data-driven, i.e., does not require a model of the system, and is able to handle a priori unknown and…

最优化与控制 · 数学 2022-11-17 Marko Nonhoff , Matthias A. Müller

This paper investigates the problem of controlling a linear system under possibly unbounded stochastic noise with unknown convex cost functions, known as an online control problem. In contrast to the existing work, which assumes the…

系统与控制 · 电气工程与系统科学 2025-06-03 Kaito Ito , Taira Tsuchiya

We study online control for continuous-time linear systems with finite sampling rates, where the objective is to design an online procedure that learns under non-stochastic noise and performs comparably to a fixed optimal linear controller.…

最优化与控制 · 数学 2025-06-10 Jingwei Li , Jing Dong , Can Chang , Baoxiang Wang , Jingzhao Zhang

We study the control of a linear dynamical system with adversarial disturbances (as opposed to statistical noise). The objective we consider is one of regret: we desire an online control procedure that can do nearly as well as that of a…

机器学习 · 计算机科学 2019-02-26 Naman Agarwal , Brian Bullins , Elad Hazan , Sham M. Kakade , Karan Singh

This paper presents an algorithm to solve non-convex optimal control problems, where non-convexity can arise from nonlinear dynamics, and non-convex state and control constraints. This paper assumes that the state and control constraints…

最优化与控制 · 数学 2017-05-05 Yuanqi Mao , Michael Szmuk , Behcet Acikmese

We consider a class of finite-horizon, linear-quadratic stochastic control problems, where the probability distribution governing the noise process is unknown but assumed to belong to an ambiguity set consisting of all distributions whose…

最优化与控制 · 数学 2026-04-21 Feras Al Taha , Eilyan Bitar

Model predictive control solves a constrained optimization problem online in order to compute an implicit closed-loop control policy. Recursive feasibility -- guaranteeing that the optimal control problem will have a solution at every time…

最优化与控制 · 数学 2024-10-16 Jacob W. Knaup , Panagiotis Tsiotras

This paper is concerned with the problem of Model Predictive Control and Rolling Horizon Control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a…

最优化与控制 · 数学 2010-09-08 Peter Hokayem , Debasish Chatterjee , John Lygeros

This work addresses the finite-horizon robust covariance control problem for discrete-time, partially observable, linear system affected by random zero mean noise and deterministic but unknown disturbances restricted to lie in what is…

最优化与控制 · 数学 2020-07-02 Georgios Kotsalis , Guanghui Lan , Arkadi Nemirovski

In the online non-stochastic control problem, an agent sequentially selects control inputs for a linear dynamical system when facing unknown and adversarially selected convex costs and disturbances. A common metric for evaluating control…

最优化与控制 · 数学 2025-04-24 Vijeth Hebbar , Cédric Langbort

This paper addresses the problem of optimally controlling nonlinear systems with norm-bounded disturbances and parametric uncertainties while robustly satisfying constraints. The proposed approach jointly optimizes a nominal nonlinear…

系统与控制 · 电气工程与系统科学 2023-09-14 Antoine P. Leeman , Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

Selecting the best hyperparameters for a particular optimization instance, such as the learning rate and momentum, is an important but nonconvex problem. As a result, iterative optimization methods such as hypergradient descent lack global…

机器学习 · 计算机科学 2023-12-05 Xinyi Chen , Elad Hazan
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