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Learning-based control methods for industrial processes leverage the repetitive nature of the underlying process to learn optimal inputs for the system. While many works focus on linear systems, real-world problems involve nonlinear…

系统与控制 · 电气工程与系统科学 2023-07-25 Samuel Balula , Efe C. Balta , Dominic Liao-McPherson , Alisa Rupenyan , John Lygeros

In this paper, we consider the problem of finding a meta-learning online control algorithm that can learn across the tasks when faced with a sequence of $N$ (similar) control tasks. Each task involves controlling a linear dynamical system…

机器学习 · 计算机科学 2022-08-23 Deepan Muthirayan , Dileep Kalathil , Pramod P. Khargonekar

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

机器学习 · 计算机科学 2021-08-13 Benjamin Gravell , Tyler Summers

We consider sequential decision making under uncertainty, where the goal is to optimize over a large decision space using noisy comparative feedback. This problem can be formulated as a $K$-armed Dueling Bandits problem where $K$ is the…

机器学习 · 计算机科学 2017-07-11 Yanan Sui , Yisong Yue , Joel W. Burdick

In this paper, we propose a learning approach to analyze dynamic systems with asymmetric information structure. Instead of adopting a game theoretic setting, we investigate an online quadratic optimization problem driven by system noises…

最优化与控制 · 数学 2018-11-05 Cheng Tan , Wing Shing Wong

Current research suggests the use of a liner quadratic performance index for optimal control of regulators in various applications. Some examples include correcting the trajectory of rocket and air vehicles, vibration suppression of…

综合数学 · 数学 2007-05-23 Alexander Bolonkin , Robert Sierakowski

Linear Quadratic Regulator (LQR) and Linear Quadratic Gaussian (LQG) control are foundational and extensively researched problems in optimal control. We investigate LQR and LQG problems with semi-adversarial perturbations and time-varying…

机器学习 · 计算机科学 2023-10-26 Y. Jennifer Sun , Stephen Newman , Elad Hazan

Bandit algorithms have various application in safety-critical systems, where it is important to respect the system constraints that rely on the bandit's unknown parameters at every round. In this paper, we formulate a linear stochastic…

机器学习 · 计算机科学 2019-08-19 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

An optimal control law for networked control systems with a discrete-time linear time-invariant (LTI) system as plant and networks between sensor and controller as well as between controller and actuator is proposed. This controller is…

系统与控制 · 电气工程与系统科学 2021-07-09 Marijan Palmisano , Martin Steinberger , Martin Horn

This work studies the problem of sequential control in an unknown, nonlinear dynamical system, where we model the underlying system dynamics as an unknown function in a known Reproducing Kernel Hilbert Space. This framework yields a general…

机器学习 · 计算机科学 2020-06-23 Sham Kakade , Akshay Krishnamurthy , Kendall Lowrey , Motoya Ohnishi , Wen Sun

Understanding how to efficiently learn while adhering to safety constraints is essential for using online reinforcement learning in practical applications. However, proving rigorous regret bounds for safety-constrained reinforcement…

机器学习 · 统计学 2025-04-29 Benjamin Schiffer , Lucas Janson

In this paper, we consider the adaptive linear quadratic Gaussian control problem, where both the linear transformation matrix of the state $A$ and the control gain matrix $B$ are unknown. The proposed adaptive optimal control only assumes…

最优化与控制 · 数学 2024-09-17 Nian Liu , Cheng Zhao , Shaolin Tan , Jinhu Lü

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

This paper considers the Linear Quadratic Regulator problem for linear systems with unknown dynamics, a central problem in data-driven control and reinforcement learning. We propose a method that uses data to directly return a controller…

系统与控制 · 电气工程与系统科学 2020-05-05 Claudio De Persis , Pietro Tesi

In this paper, we consider the inverse optimal control problem for the discrete-time linear quadratic regulator, over finite-time horizons. Given observations of the optimal trajectories, and optimal control inputs, to a linear…

最优化与控制 · 数学 2018-10-31 Han Zhang , Jack Umenberger , Xiaoming Hu

This paper presents an adaptive online learning framework for systems with uncertain parameters to ensure safety-critical control in non-stationary environments. Our approach consists of two phases. The initial phase is centered on a novel…

机器学习 · 计算机科学 2024-03-06 Yu Zhang , Long Wen , Xiangtong Yao , Zhenshan Bing , Linghuan Kong , Wei He , Alois Knoll

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 propose an algorithm to actively estimate the parameters of a linear dynamical system. Given complete control over the system's input, our algorithm adaptively chooses the inputs to accelerate estimation. We show a finite time bound…

机器学习 · 计算机科学 2020-06-23 Andrew Wagenmaker , Kevin Jamieson

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

最优化与控制 · 数学 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

We consider the problem of controlling a Linear Quadratic Regulator (LQR) system over a finite horizon $T$ with fixed and known cost matrices $Q,R$, but unknown and non-stationary dynamics $\{A_t, B_t\}$. The sequence of dynamics matrices…

机器学习 · 计算机科学 2022-03-21 Yuwei Luo , Varun Gupta , Mladen Kolar