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Distributional reinforcement learning (DRL) enhances the understanding of the effects of the randomness in the environment by letting agents learn the distribution of a random return, rather than its expected value as in standard…

最优化与控制 · 数学 2024-03-26 Zifan Wang , Yulong Gao , Siyi Wang , Michael M. Zavlanos , Alessandro Abate , Karl H. Johansson

This paper presents a linear-programming based algorithm to perform data-driven stabilizing control of linear positive systems. A set of state-input-transition observations is collected up to magnitude-bounded noise. A state feedback…

最优化与控制 · 数学 2023-03-23 Jared Miller , Tianyu Dai , Mario Sznaier , Bahram Shafai

We introduce a real-time, constrained, nonlinear Model Predictive Control for the motion planning of legged robots. The proposed approach uses a constrained optimal control algorithm known as SLQ. We improve the efficiency of this algorithm…

机器人学 · 计算机科学 2018-01-31 Farbod Farshidian , Edo Jelavić , Asutosh Satapathy , Markus Giftthaler , Jonas Buchli

Accurate tracking of planned trajectories in the presence of perturbations is an important problem in control and robotics. Symmetry is a fundamental mathematical feature of many dynamical systems and exploiting this property offers the…

系统与控制 · 电气工程与系统科学 2023-08-08 Matthew Hampsey , Pieter van Goor , Robert Mahony

We develop a switched predictor-feedback law, which achieves global asymptotic stabilization of linear systems with input delay and with the plant and actuator states available only in (almost) quantized form. The control design relies on a…

最优化与控制 · 数学 2024-09-06 Florent Koudohode , Nikolaos Bekiaris-Liberis

Iterative linear-quadratic (ILQ) methods are widely used in the nonlinear optimal control community. Recent work has applied similar methodology in the setting of multiplayer general-sum differential games. Here, ILQ methods are capable of…

系统与控制 · 电气工程与系统科学 2020-03-20 David Fridovich-Keil , Vicenc Rubies-Royo , Claire J. Tomlin

This paper develops a sequential-linearization feedback optimization framework for driving nonlinear dynamical systems to an optimal steady state. A fundamental challenge in feedback optimization is the requirement of accurate first-order…

最优化与控制 · 数学 2025-07-22 Shijie Huang , Sergio Grammatico

We propose and analyse a new methodology based on linear-quadratic regulation (LQR) for stabilising falling liquid films via blowing and suction at the base. LQR methods enable rapidly responding feedback control by precomputing a gain…

最优化与控制 · 数学 2023-07-11 Oscar A. Holroyd , Radu Cimpeanu , Susana N. Gomes

Real-time optimal control remains a fundamental challenge in robotics, especially for nonlinear systems with stringent performance requirements. As one of the representative trajectory optimization algorithms, the iterative Linear Quadratic…

系统与控制 · 电气工程与系统科学 2025-04-07 Yue Wang , Haoyu Wang , Zhaoxing Li

In this paper, we address Linear Quadratic Regulator (LQR) problems through a novel iterative algorithm named EXtremum-seeking Policy iteration LQR (EXP-LQR). The peculiarity of EXP-LQR is that it only needs access to a truncated…

最优化与控制 · 数学 2025-06-13 Guido Carnevale , Nicola Mimmo , Giuseppe Notarstefano

It is known that reinforcement learning (RL) is data-hungry. To improve sample-efficiency of RL, it has been proposed that the learning algorithm utilize data from 'approximately similar' processes. However, since the process models are…

机器学习 · 计算机科学 2025-11-24 Vinay Kanakeri , Shivam Bajaj , Ashwin Verma , Vijay Gupta , Aritra Mitra

Motion Planning is necessary for robots to complete different tasks. Rapidly-exploring Random Tree (RRT) and its variants have been widely used in robot motion planning due to their fast search in state space. However, they perform not well…

机器人学 · 计算机科学 2022-05-19 Zhirui Sun , Jiankun Wang , Max Q. -H. Meng

Many real-world sequential decision-making problems can be formulated as optimal control with high-dimensional observations and unknown dynamics. A promising approach is to embed the high-dimensional observations into a lower-dimensional…

机器学习 · 计算机科学 2020-02-12 Nir Levine , Yinlam Chow , Rui Shu , Ang Li , Mohammad Ghavamzadeh , Hung Bui

This article presents a method to automatically generate energy-optimal trajectories for systems with linear dynamics, linear constraints, and a quadratic cost functional (LQ systems). First, using recent advancements in optimal control, we…

系统与控制 · 电气工程与系统科学 2024-09-17 Logan E. Beaver

Trajectory optimization has been used extensively in robotic systems. In particular, iterative Linear Quadratic Regulator (iLQR) has performed well as an off-line planner and online nonlinear model predictive control solver, with a lower…

机器人学 · 计算机科学 2023-03-21 Yunxi Tang , Xiangyu Chu , Wanxin Jin , K. W. Samuel Au

Stabilizing a dynamical system is a fundamental problem that serves as a cornerstone for many complex tasks in the field of control systems. The problem becomes challenging when the system model is unknown. Among the Reinforcement Learning…

系统与控制 · 电气工程与系统科学 2026-01-30 Ankang Zhang , Ming Chi , Xiaoling Wang , Lintao Ye

We propose a reinforcement learning (RL)-based algorithm to jointly train (1) a trajectory planner and (2) a tracking controller in a layered control architecture. Our algorithm arises naturally from a rewrite of the underlying optimal…

系统与控制 · 电气工程与系统科学 2024-12-18 Fengjun Yang , Nikolai Matni

Trajectory optimization is a popular strategy for planning trajectories for robotic systems. However, many robotic tasks require changing contact conditions, which is difficult due to the hybrid nature of the dynamics. The optimal sequence…

机器人学 · 计算机科学 2021-09-08 Nathan J. Kong , George Council , Aaron M. Johnson

Iterative linear quadradic regulator(iLQR) has become a benchmark method to deal with nonlinear stochastic optimal control problem. However, it does not apply to delay system. In this paper, we extend the iLQR theory and prove new theorem…

最优化与控制 · 数学 2020-02-19 Cheng Ju , Yan Qin , Chunjiang Fu

Reinforcement learning (RL) with tree search has demonstrated superior performance in traditional reasoning tasks. Compared to conventional independent chain sampling strategies with outcome supervision, tree search enables better…

机器学习 · 计算机科学 2025-06-16 Zhenyu Hou , Ziniu Hu , Yujiang Li , Rui Lu , Jie Tang , Yuxiao Dong