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Trajectory optimization problems for legged robots are commonly formulated with fixed contact schedules. These multi-phase Hybrid Trajectory Optimization (HTO) methods result in locally optimal trajectories, but the result depends heavily…

机器人学 · 计算机科学 2023-09-19 Michael R. Turski , Joseph Norby , Aaron M. Johnson

We consider the ramp metering problem for a freeway stretch modeled by the Cell Transmission Model. Assuming perfect model knowledge and perfect traffic demand prediction, the ramp metering problem can be cast as a finite horizon optimal…

最优化与控制 · 数学 2017-10-26 Marius Schmitt , Chithrupa Ramesh , John Lygeros

Following the recent resurgence in establishing linear control theoretic benchmarks for reinforcement leaning (RL)-based policy optimization (PO) for complex dynamical systems with continuous state and action spaces, an optimal control…

系统与控制 · 电气工程与系统科学 2023-06-30 Leilei Cui , Lekan Molu

Regularization is widely used in statistics and machine learning to prevent overfitting and gear solution towards prior information. In general, a regularized estimation problem minimizes the sum of a loss function and a penalty term. The…

统计计算 · 统计学 2012-01-18 Hua Zhou , Yichao Wu

Application of traditional indirect optimization methods to optimal control problems (OCPs) with control and state path constraints is not a straightforward task. However, recent advances in regularization techniques and numerical…

最优化与控制 · 数学 2019-10-22 Kshitij Mall , Ehsan Taheri

Prior work on automatic control synthesis for cyber-physical systems under logical constraints has primarily focused on environmental disturbances or modeling uncertainties, however, the impact of deliberate and malicious attacks has been…

系统与控制 · 电气工程与系统科学 2019-07-25 Luyao Niu , Andrew Clark

This paper presents a novel Stochastic Optimal Control (SOC) method based on Model Predictive Path Integral control (MPPI), named Stein Variational Guided MPPI (SVG-MPPI), designed to handle rapidly shifting multimodal optimal action…

机器人学 · 计算机科学 2024-03-04 Kohei Honda , Naoki Akai , Kosuke Suzuki , Mizuho Aoki , Hirotaka Hosogaya , Hiroyuki Okuda , Tatsuya Suzuki

The goal of this paper is to present a method for simultaneous trajectory and local stabilizing policy optimization to generate local policies for trajectory-centric model-based reinforcement learning (MBRL). This is motivated by the fact…

Optimal transport (OT) is a versatile framework for comparing probability measures, with many applications to statistics, machine learning, and applied mathematics. However, OT distances suffer from computational and statistical scalability…

统计理论 · 数学 2022-06-08 Ziv Goldfeld , Kengo Kato , Gabriel Rioux , Ritwik Sadhu

Stochastic optimal control problems have a long tradition in applied probability, with the questions addressed being of high relevance in a multitude of fields. Even though theoretical solutions are well understood in many scenarios, their…

统计理论 · 数学 2024-05-28 Sören Christensen , Claudia Strauch , Lukas Trottner

This thesis investigates optimal trajectory tracking of nonlinear dynamical systems with affine controls. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. The concept of…

最优化与控制 · 数学 2016-03-04 Jakob Löber

This paper is based on a crucial issue in the aviation world: how to optimize the trajectory and controls given to the aircraft in order to optimize flight time and fuel consumption. This study aims to provide elements of a response to this…

最优化与控制 · 数学 2024-08-15 Gaofeng Su , Xi Cheng , Siyuan Feng , Ke Liu , Jilin Song , Jianan Chen , Chen Zhu , Hui Lin

We propose a new method for trajectory planning to solve the data harvesting problem. In a two-dimensional mission space, $N$ mobile agents are tasked with the collection of data generated at $M$ stationary sources and delivery to a base…

系统与控制 · 计算机科学 2015-09-02 Yasaman Khazaeni , Christos G. Cassandras

The goal of Inverse Optimal Control (IOC) is to identify the underlying objective function based on observed optimal trajectories. It provides a powerful framework to model expert's behavior, and a data-driven way to design an objective…

最优化与控制 · 数学 2022-04-28 Han Zhang , Axel Ringh , Weihan Jiang , Shaoyuan Li , Xiaoming Hu

Model predictive control (MPC) is a popular strategy for urban traffic management that is able to incorporate physical and user defined constraints. However, the current MPC methods rely on finite horizon predictions that are unable to…

系统与控制 · 计算机科学 2016-02-03 Sadra Sadraddini , Calin Belta

We present Path Integral Sampler~(PIS), a novel algorithm to draw samples from unnormalized probability density functions. The PIS is built on the Schr\"odinger bridge problem which aims to recover the most likely evolution of a diffusion…

机器学习 · 计算机科学 2022-03-11 Qinsheng Zhang , Yongxin Chen

We consider deterministic finite-horizon optimal control problems with a fixed initial state. We introduce an on-line policy iteration method, which, starting from a given policy, however obtained, generates a sequence of cost-improving…

系统与控制 · 电气工程与系统科学 2026-05-12 Yuchao Li , Fei Chen , Yingke Li , Chuchu Fan , Dimitri Bertsekas

This paper introduces a new approach to solve sensor management problems. Classically sensor management problems can be well formalized as Partially-Observed Markov Decision Processes (POMPD). The original approach developped here consists…

机器学习 · 计算机科学 2009-03-20 Thomas Bréhard , Emmanuel Duflos , Philippe Vanheeghe , Pierre-Arnaud Coquelin

Entropy regularization is an efficient technique for encouraging exploration and preventing a premature convergence of (vanilla) policy gradient methods in reinforcement learning (RL). However, the theoretical understanding of…

机器学习 · 计算机科学 2024-07-16 Yuhao Ding , Junzi Zhang , Hyunin Lee , Javad Lavaei

Efficient traffic signal control (TSC) is crucial for reducing congestion, travel delays, pollution, and for ensuring road safety. Traditional approaches, such as fixed signal control and actuated control, often struggle to handle dynamic…

系统与控制 · 电气工程与系统科学 2025-09-29 Anirud Nandakumar , Chayan Banerjee , Lelitha Devi Vanajakshi