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By enabling constraint-aware online model adaptation, model predictive control using Gaussian process (GP) regression has exhibited impressive performance in real-world applications and received considerable attention in the learning-based…

最优化与控制 · 数学 2024-09-17 Amon Lahr , Andrea Zanelli , Andrea Carron , Melanie N. Zeilinger

This paper proposes an off-line algorithm, called Recurrent Model Predictive Control (RMPC), to solve general nonlinear finite-horizon optimal control problems. Unlike traditional Model Predictive Control (MPC) algorithms, it can make full…

系统与控制 · 电气工程与系统科学 2021-02-24 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Qi Sun , Bo Cheng

We study the problem of computing deterministic optimal policies for constrained Markov decision processes (MDPs) with continuous state and action spaces, which are widely encountered in constrained dynamical systems. Designing…

人工智能 · 计算机科学 2025-04-07 Sergio Rozada , Dongsheng Ding , Antonio G. Marques , Alejandro Ribeiro

We study a reinforcement learning setting, where the state transition function is a convex combination of a stochastic continuous function and a deterministic function. Such a setting generalizes the widely-studied stochastic state…

机器学习 · 计算机科学 2018-10-03 Qingpeng Cai , Ling Pan , Pingzhong Tang

This paper implements the Deep Deterministic Policy Gradient (DDPG) algorithm for computing optimal policies for partially observable single-product periodic review inventory control problems with setup costs and backorders. The decision…

最优化与控制 · 数学 2025-07-29 Eugene Feinberg , Jefferson Huang , Pavlo Kasyanov , Thomas O'Neill

This paper proposes a scalable distributed policy gradient method and proves its convergence to near-optimal solution in multi-agent linear quadratic networked systems. The agents engage within a specified network under local communication…

多智能体系统 · 计算机科学 2024-03-06 Yuzi Yan , Yuan Shen

Model-free reinforcement learning attempts to find an optimal control action for an unknown dynamical system by directly searching over the parameter space of controllers. The convergence behavior and statistical properties of these…

最优化与控制 · 数学 2021-03-17 Hesameddin Mohammadi , Armin Zare , Mahdi Soltanolkotabi , Mihailo R. Jovanović

We study the infinite-horizon distributionally robust (DR) control of linear systems with quadratic costs, where disturbances have unknown, possibly time-correlated distribution within a Wasserstein-2 ambiguity set. We aim to minimize the…

最优化与控制 · 数学 2024-06-12 Taylan Kargin , Joudi Hajar , Vikrant Malik , Babak Hassibi

In this paper a novel model-free algorithm is proposed. This algorithm can learn the nearly optimal control law of constrained-input systems from online data without requiring any a priori knowledge of system dynamics. Based on the concept…

系统与控制 · 电气工程与系统科学 2022-05-03 Han Zhao , Lei Guo

Model-based policy optimization often struggles with inaccurate system dynamics models, leading to suboptimal closed-loop performance. This challenge is especially evident in Model Predictive Control (MPC) policies, which rely on the model…

系统与控制 · 电气工程与系统科学 2026-04-21 Riccardo Zuliani , Efe C. Balta , John Lygeros

First order policy optimization has been widely used in reinforcement learning. It guarantees to find the optimal policy for the state-feedback linear quadratic regulator (LQR). However, the performance of policy optimization remains…

最优化与控制 · 数学 2022-04-05 Yang Zheng , Yue Sun , Maryam Fazel , Na Li

Model-free learning-based control methods have seen great success recently. However, such methods typically suffer from poor sample complexity and limited convergence guarantees. This is in sharp contrast to classical model-based control,…

最优化与控制 · 数学 2020-06-16 Guannan Qu , Chenkai Yu , Steven Low , Adam Wierman

We consider infinite-horizon discounted Markov decision processes and study the convergence rates of the natural policy gradient (NPG) and the Q-NPG methods with the log-linear policy class. Using the compatible function approximation…

机器学习 · 计算机科学 2023-02-22 Rui Yuan , Simon S. Du , Robert M. Gower , Alessandro Lazaric , Lin Xiao

Policy gradient (PG) methods are a widely used reinforcement learning methodology in many applications such as video games, autonomous driving, and robotics. In spite of its empirical success, a rigorous understanding of the global…

最优化与控制 · 数学 2020-06-30 Kaiqing Zhang , Alec Koppel , Hao Zhu , Tamer Başar

We develop a model-free learning algorithm for the infinite-horizon linear quadratic regulator (LQR) problem. Specifically, (risk) constraints and structured feedback are considered, in order to reduce the state deviation while allowing for…

最优化与控制 · 数学 2022-04-06 Kyung-bin Kwon , Lintao Ye , Vijay Gupta , Hao Zhu

This paper investigates the optimal control problem for a class of discrete-time stochastic systems subject to additive and multiplicative noises. A stochastic Lyapunov equation and a stochastic algebra Riccati equation are established for…

系统与控制 · 电气工程与系统科学 2020-08-24 Jing Lai , Junlin Xiong , Zhan Shu

In this paper, we present a policy gradient method that avoids exploratory noise injection and performs policy search over the deterministic landscape. By avoiding noise injection all sources of estimation variance can be eliminated in…

人工智能 · 计算机科学 2022-06-01 Ehsan Saleh , Saba Ghaffari , Timothy Bretl , Matthew West

This paper proposes and analyzes two new policy learning methods: regularized policy gradient (RPG) and iterative policy optimization (IPO), for a class of discounted linear-quadratic control (LQC) problems over an infinite time horizon…

最优化与控制 · 数学 2025-10-08 Xin Guo , Xinyu Li , Renyuan Xu

In the last decades, control problems with infinite horizons and discount factors have become increasingly central not only for economics but also for applications in artificial intelligence and machine learning. The strong links between…

最优化与控制 · 数学 2023-10-25 Vincenzo Basco

Linear-Quadratic-Gaussian (LQG) control is a fundamental control paradigm that is studied in various fields such as engineering, computer science, economics, and neuroscience. It involves controlling a system with linear dynamics and…

最优化与控制 · 数学 2023-11-02 Bahar Taşkesen , Dan A. Iancu , Çağıl Koçyiğit , Daniel Kuhn