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This article presents a dynamic regret analysis for stochastic model predictive control (SMPC) in linear systems with quadratic performance index and additive and multiplicative uncertainties. Under a finite support assumption, the problem…

最优化与控制 · 数学 2025-02-04 Sungho Shin , Sen Na , Mihai Anitescu

Partially observable Markov Decision Processes (POMDPs) are a standard model for agents making decisions in uncertain environments. Most work on POMDPs focuses on synthesizing strategies based on the available capabilities. However, system…

人工智能 · 计算机科学 2024-07-12 Alyzia-Maria Konsta , Alberto Lluch Lafuente , Christoph Matheja

This paper presents an end-to-end framework for safe learning-based control (LbC) using nonlinear stochastic MPC and distributionally robust optimization (DRO). This work is motivated by several open challenges in LbC literature. In…

系统与控制 · 电气工程与系统科学 2023-10-31 Aaron Kandel , Scott J. Moura

We investigate Monte Carlo based algorithms for solving stochastic control problems with probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while…

最优化与控制 · 数学 2024-02-06 Alessandro Balata , Michael Ludkovski , Aditya Maheshwari , Jan Palczewski

We consider the infinite dimensional linear programming (inf-LP) approach for solving stochastic control problems. The inf-LP corresponding to problems with uncountable state and input spaces is in general computationally intractable. By…

最优化与控制 · 数学 2018-10-16 Maryam Kamgarpour , Tyler Summers

This paper is concerned with a linear-quadratic partially observed Stackelberg stochastic differential game with correlated state and observation noises, where the diffusion coefficient does not contain the control variable and the control…

最优化与控制 · 数学 2021-05-25 Yueyang Zheng , Jingtao Shi

An optimal control problem is studied for a linear mean-field stochastic differential equation with a quadratic cost functional. The coefficients and the weighting matrices in the cost functional are all assumed to be deterministic.…

最优化与控制 · 数学 2016-02-26 Xun Li , Jingrui Sun , Jiongmin Yong

This paper studies a class of continuous-time scalar-state stochastic Linear-Quadratic (LQ) optimal control problem with the linear control constraints. Applying the state separation theorem induced from its special structure, we develop…

投资组合管理 · 定量金融 2018-06-12 Weiping Wu , Jianjun Gao , Junguo Lu , Xun Li

A standard model that arises in several applications in sequential decision making is partially observable Markov decision processes (POMDPs) where a decision-making agent interacts with an uncertain environment. A basic objective in such…

计算复杂性 · 计算机科学 2025-06-16 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Ali Shafiee

In multiparametric programming an optimization problem which is dependent on a parameter vector is solved parametrically. In control, multiparametric quadratic programming (mp-QP) problems have become increasingly important since the…

最优化与控制 · 数学 2016-03-17 Isak Nielsen , Daniel Axehill

Model predictive control (MPC) is a method to formulate the optimal scheduling problem for grid flexibilities in a mathematical manner. The resulting time-constrained optimization problem can be re-solved in each optimization time step…

系统与控制 · 电气工程与系统科学 2021-08-20 Steven de Jongh , Sina Steinle , Anna Hlawatsch , Felicitas Mueller , Michael Suriyah , Thomas Leibfried

In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration. This paper analyzes the MPC design problem with control performance and required…

最优化与控制 · 数学 2016-04-25 Vincent Bachtiar , Chris Manzie , William H. Moase , Eric C. Kerrigan

This paper presents a stochastic, model predictive control (MPC) algorithm that leverages short-term probabilistic forecasts for dispatching and rebalancing Autonomous Mobility-on-Demand systems (AMoD, i.e. fleets of self-driving vehicles).…

系统与控制 · 计算机科学 2018-05-07 Matthew Tsao , Ramon Iglesias , Marco Pavone

Stochastic model-predictive control (SMPC) has evolved to a powerful framework for the control of stochastic dynamical systems. SMPC utilizes a probabilistic uncertainty description to provide a systematic trade-off between the control…

系统与控制 · 电气工程与系统科学 2026-05-27 Bendegúz Györök , Roland Tóth , Maarten Schoukens , Tamás Péni

This paper presents an auto-optimal model predictive control (MPC) framework enhanced with active learning, designed to autonomously track optimal operational conditions in an unknown environment,where the conditions may dynamically adjust…

系统与控制 · 电气工程与系统科学 2025-12-05 Yuan Tan , Jun Yang , Zhongguo Li , Wen-Hua Chen , Shihua Li

The purpose of this paper is to study the following topics and the relation between them: (i) Optimal singular control of mean-field stochastic differential equations with memory, (ii) reflected advanced mean-field backward stochastic…

最优化与控制 · 数学 2018-10-26 Nacira Agram , Achref Bachouch , Bernt Øksendal , Frank Proske

Over the last few years, sampling-based stochastic optimal control (SOC) frameworks have shown impressive performances in reinforcement learning (RL) with applications in robotics. However, such approaches require a large amount of samples…

系统与控制 · 计算机科学 2014-12-10 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely…

最优化与控制 · 数学 2020-01-03 Chao Shang , Fengqi You

In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given measurements. Here, we focus on linear-quadratic optimal control…

最优化与控制 · 数学 2023-11-27 Stephan Dempe , Markus Friedemann , Felix Harder , Patrick Mehlitz , Gerd Wachsmuth

We study the linear quadratic Gaussian (LQG) control problem, in which the controller's observation of the system state is such that a desired cost is unattainable. To achieve the desired LQG cost, we introduce a communication link from the…

最优化与控制 · 数学 2021-09-28 Oron Sabag , Peida Tian , Victoria Kostina , Babak Hassibi