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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

Offline or batch reinforcement learning seeks to learn a near-optimal policy using history data without active exploration of the environment. To counter the insufficient coverage and sample scarcity of many offline datasets, the principle…

机器学习 · 计算机科学 2022-06-14 Laixi Shi , Gen Li , Yuting Wei , Yuxin Chen , Yuejie Chi

This paper presents the first model-free, simulator-free reinforcement learning algorithm for Constrained Markov Decision Processes (CMDPs) with sublinear regret and zero constraint violation. The algorithm is named Triple-Q because it…

机器学习 · 计算机科学 2021-10-26 Honghao Wei , Xin Liu , Lei Ying

In real-world scenarios, datasets collected from randomized experiments are often constrained by size, due to limitations in time and budget. As a result, leveraging large observational datasets becomes a more attractive option for…

机器学习 · 统计学 2024-03-19 Danyang Wang , Chengchun Shi , Shikai Luo , Will Wei Sun

In this work, we study the deception of a Linear-Quadratic-Gaussian (LQG) agent by manipulating the cost signals. We show that a small falsification of the cost parameters will only lead to a bounded change in the optimal policy. The bound…

系统与控制 · 电气工程与系统科学 2022-04-08 Yunhan Huang , Quanyan Zhu

Imitation learning from demonstrations usually suffers from the confounding effects of unmeasured variables (i.e., unmeasured confounders) on the states and actions. If ignoring them, a biased estimation of the policy would be entailed. To…

机器学习 · 计算机科学 2025-07-24 Yan Zeng , Shenglan Nie , Feng Xie , Libo Huang , Peng Wu , Zhi Geng

Multi-action restless multi-armed bandits (RMABs) are a powerful framework for constrained resource allocation in which $N$ independent processes are managed. However, previous work only study the offline setting where problem dynamics are…

机器学习 · 计算机科学 2021-06-24 Jackson A. Killian , Arpita Biswas , Sanket Shah , Milind Tambe

We study the adaptive control of an unknown linear system with a quadratic cost function subject to safety constraints on both the states and actions. The challenges of this problem arise from the tension among safety, exploration,…

系统与控制 · 电气工程与系统科学 2021-11-02 Yingying Li , Subhro Das , Jeff Shamma , Na Li

In this work, we consider the problem of designing a safety filter for a nonlinear uncertain control system. Our goal is to augment an arbitrary controller with a safety filter such that the overall closed-loop system is guaranteed to stay…

机器人学 · 计算机科学 2022-04-11 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

This paper considers the linear-quadratic dual control problem where the system parameters need to be identified and the control objective needs to be optimized in the meantime. Contrary to existing works on data-driven linear-quadratic…

系统与控制 · 电气工程与系统科学 2021-11-22 Yiwen Lu , Yilin Mo

In this paper we propose a constrained guaranteed cost robust model predictive controller (GCMPC) for uncertain discrete time systems. This controller was developed based on a quadratic cost functional and guarantee robustness with respect…

最优化与控制 · 数学 2018-09-21 Carlos M. Massera , Marco H. Terra , Denis F. Wolf

Learning-based model predictive control (MPC) is an approach designed to reduce the computational cost of MPC. In this paper, a constrained deep neural network (DNN) design is proposed to learn MPC policy for nonlinear systems. Using…

系统与控制 · 电气工程与系统科学 2023-03-30 Farshid Asadi

In this paper, we study the dynamic regret of online linear quadratic regulator (LQR) control with time-varying cost functions and disturbances. We consider the case where a finite look-ahead window of cost functions and disturbances is…

最优化与控制 · 数学 2021-02-03 Runyu Zhang , Yingying Li , Na Li

Many physical systems have underlying safety considerations that require that the policy employed ensures the satisfaction of a set of constraints. The analytical formulation usually takes the form of a Constrained Markov Decision Process…

机器学习 · 计算机科学 2021-03-03 Aria HasanzadeZonuzy , Archana Bura , Dileep Kalathil , Srinivas Shakkottai

The behaviour of a stochastic dynamical system may be largely influenced by those low-probability, yet extreme events. To address such occurrences, this paper proposes an infinite-horizon risk-constrained Linear Quadratic Regulator (LQR)…

最优化与控制 · 数学 2021-03-30 Feiran Zhao , Keyou You , Tamer Basar

This paper is concerned with model predictive control (MPC) of discrete-time linear systems subject to bounded additive disturbance and mixed constraints on the state and input, whereas the true disturbance set is unknown. Unlike most…

最优化与控制 · 数学 2024-05-22 Yulong Gao , Shuhao Yan , Jian Zhou , Mark Cannon , Alessandro Abate , Karl H. Johansson

We study online learning in episodic constrained Markov decision processes (CMDPs), where the learner aims at collecting as much reward as possible over the episodes, while satisfying some long-term constraints during the learning process.…

Iterative learning control (ILC) improves the performance of a repetitive system by learning from previous trials. ILC can be combined with Model Predictive Control (MPC) to mitigate non-repetitive disturbances, thus improving overall…

系统与控制 · 电气工程与系统科学 2025-03-26 Riccardo Zuliani , Efe C. Balta , Alisa Rupenyan , John Lygeros

Learning-based control methods are an attractive approach for addressing performance and efficiency challenges in robotics and automation systems. One such technique that has found application in these domains is learning-based model…

最优化与控制 · 数学 2014-04-11 Anil Aswani , Patrick Bouffard , Xiaojing Zhang , Claire Tomlin

This paper presents a robust adaptive learning Model Predictive Control (MPC) framework for linear systems with parametric uncertainties and additive disturbances performing iterative tasks. The approach refines the parameter estimates…

系统与控制 · 电气工程与系统科学 2025-09-04 Hannes Petrenz , Johannes Köhler , Francesco Borrelli