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相关论文: A Real-Time Solver For Time-Optimal Control Of Omn…

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The effectiveness of a robot manipulation to a large extent is determined by the speed of making this or that movement needed for carrying out the task. Accordingly to this the problem of optimal robot control is often subdivided into two…

最优化与控制 · 数学 2018-01-24 Oleg Malafeyev

In this work, we propose to efficiently solve time dependent parametrized optimal control problems governed by parabolic partial differential equations through the certified reduced basis method. In particular, we will exploit an error…

数值分析 · 数学 2021-03-10 Maria Strazzullo , Francesco Ballarin , Gianluigi Rozza

Controlling systems of ordinary differential equations (ODEs) is ubiquitous in science and engineering. For finding an optimal feedback controller, the value function and associated fundamental equations such as the Bellman equation and the…

最优化与控制 · 数学 2021-04-14 Mathias Oster , Leon Sallandt , Reinhold Schneider

In this paper we present a method for automatically generating optimal robot trajectories satisfying high level mission specifications. The motion of the robot in the environment is modeled as a general transition system, enhanced with…

机器人学 · 计算机科学 2010-07-16 Stephen L. Smith , Jana Tumova , Calin Belta , Daniela Rus

This paper presents a new method for solving a class of nonlinear optimal control problems with a quadratic performance index. In this method, first the original optimal control problem is transformed into a nonlinear two-point boundary…

最优化与控制 · 数学 2014-09-18 Amin Jajarmi , Hamidreza Ramezanpour , Arman Sargolzaei , Pouyan Shafaei

We consider the problem of finding collision-free paths for curvature-constrained systems in the presence of obstacles while minimizing execution time. Specifically, we focus on the setting where a planar system can travel at some range of…

机器人学 · 计算机科学 2022-04-05 Doron Pinsky , Petr Váňa , Jan Faigl , Oren Salzman

Motion planning for multi-jointed robots is challenging. Due to the inherent complexity of the problem, most existing works decompose motion planning as easier subproblems. However, because of the inconsistent performance metrics, only…

机器人学 · 计算机科学 2018-10-11 Yu Zhao , Hsien-Chung Lin , Masayoshi Tomizuka

The paper presents a movement strategy for Connected and Automated Vehicles (CAVs) in a lane-free traffic environment with vehicle nudging by use of an optimal control approach. State-dependent constraints on control inputs are considered…

Model Predictive Control (MPC) has exhibited remarkable capabilities in optimizing objectives and meeting constraints. However, the substantial computational burden associated with solving the Optimal Control Problem (OCP) at each…

机器人学 · 计算机科学 2024-05-09 Yu Luo , Qie Sima , Tianying Ji , Fuchun Sun , Huaping Liu , Jianwei Zhang

This paper proposes a novel approach to formulate time-optimal point-to-point motion planning and control under uncertainty. The approach defines a robustified two-stage Optimal Control Problem (OCP), in which stage 1, with a fixed time…

机器人学 · 计算机科学 2025-01-27 Shuhao Zhang , Jan Swevers

This paper focuses on the energy-time optimal control of wheeled mobile robots undergoing point-to-point transitions in an obstacles free space. Two interchangeable models are used to arrive at the necessary conditions for optimality. The…

机器人学 · 计算机科学 2022-06-07 Youngjin Kim , Tarunraj Singh

We consider a continuous time stochastic optimal control problem under both equality and inequality constraints on the expectation of some functionals of the controlled process. Under a qualification condition, we show that the problem is…

最优化与控制 · 数学 2021-07-09 Laurent Pfeiffer , Xiaolu Tan , Yulong Zhou

We investigate energy-optimal control of robots with ultracapacitor based regenerative drive systems. Based on a previously introduced framework, a fairly generic model is considered for the robot and the drive system. An optimal control…

系统与控制 · 计算机科学 2018-04-03 Poya Khalaf , Hanz Richter

We present a new framework for prioritized multi-task motion-force control of fully-actuated robots. This work is established on a careful review and comparison of the state of the art. Some control frameworks are not optimal, that is they…

机器人学 · 计算机科学 2014-10-16 Andrea Del Prete , Francesco Nori , Giorgio Metta , Lorenzo Natale

Accurate control of robots at high speeds requires a control system that can take into account the kinodynamic interactions of the robot with the environment. Prior works on learning inverse kinodynamic (IKD) models of robots have shown…

机器人学 · 计算机科学 2022-08-04 Pranav Atreya , Haresh Karnan , Kavan Singh Sikand , Xuesu Xiao , Sadegh Rabiee , Joydeep Biswas

We present a branch-and-bound algorithm for globally solving parabolic optimal control problems with binary switches that have bounded variation and possibly need to satisfy further combinatorial constraints. More precisely, for a given…

最优化与控制 · 数学 2024-01-19 Christoph Buchheim , Alexandra Grütering , Christian Meyer

Thanks to recent advancements in accelerating non-linear model predictive control (NMPC), it is now feasible to deploy whole-body NMPC at real-time rates for humanoid robots. However, enforcing inequality constraints in real time for such…

机器人学 · 计算机科学 2024-10-23 Charles Khazoom , Seungwoo Hong , Matthew Chignoli , Elijah Stanger-Jones , Sangbae Kim

In this paper, we discuss an application of the SDDP type algorithm to nested risk-averse formulations of Stochastic Optimal Control (SOC) problems. We propose a construction of a statistical upper bound for the optimal value of risk-averse…

最优化与控制 · 数学 2023-05-04 Vincent Guigues , Alexander Shapiro , Yi Cheng

This paper proposes a framework for generating fast, smooth and predictable braking manoeuvers for a controlled robot. The proposed framework integrates two approaches to obtain feasible modal limits for designing braking trajectories. The…

In this contribution we develop an efficient reduced order model for solving parametrized linear-quadratic optimal control problems with linear time-varying state system. The fully reduced model combines reduced basis approximations of the…

数值分析 · 数学 2024-08-29 Hendrik Kleikamp , Lukas Renelt