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By applying invariant-based inverse engineering in the small-oscillations regime, we design the time dependence of the control parameters of an overhead crane (trolley displacement and rope length), to transport a load between two positions…

Quantum Physics · Physics 2017-11-15 S. González-Resines , D. Guéry-Odelin , A. Tobalina , I. Lizuain , E. Torrontegui , J. G. Muga

In many mechatronic applications, controller input costs are negligible and time optimality is of great importance to maximize the productivity by executing fast positioning maneuvers. As a result, the obtained control input has mostly a…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Joe Ismail , Steven Liu

Cranes come in various sizes and designs to perform different tasks. Depending on their dynamic properties, they can be classified as gantry cranes and rotary cranes. In this paper we will focus on the so called 'knuckle boom' cranes which…

Systems and Control · Electrical Eng. & Systems 2021-03-31 M. Ambrosino , E. Garone

This study proposes a fuzzy-adjusted nonlinear control method based on torque jitter output limit constraints for overhead crane systems with double pendulum effects. The proposed control method can effectively suppress swing and achieve…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Dawei Zhao , Kai Wang , Xianglong Zhou , Xin Ma , Lei Jia

In this study, we propose a varying terminal time structure for the optimal control problem under state constraints, in which the terminal time follows the varying of the control via the constrained condition. Focusing on this new optimal…

Optimization and Control · Mathematics 2020-06-17 Shuzhen Yang

For autonomous crane lifting, optimal trajectories of the crane are required as reference inputs to the crane controller to facilitate feedforward control. Reducing the unactuated payload motion is a crucial issue for under-actuated tower…

Robotics · Computer Science 2024-04-09 Souravik Dutta , Yiyu Cai

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

Optimization and Control · Mathematics 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

Optimal control theory is applied to analyze the time-optimal solution with a single scalar control knob in a two-level quantum system without quantum decoherence. Emphasis is \change{placed} on the dependence on the maximum control…

Quantum Physics · Physics 2025-04-03 Chungwei Lin , Qi Ding , Petros T. Boufounos , Yanting Ma , Yebin Wang , Dries Sels , Chih-Chun Chien

A problem of computing time-fuel optimal control for state transfer of a single input linear time invariant (LTI) system to the origin is considered. The input is assumed to be bounded. Since, the optimal control is bang-off-bang in nature,…

Optimization and Control · Mathematics 2021-02-23 Rajasree Sarkar , Deepak U. Patil , Indra Narayan Kar

Time-optimal control of a multi-rotor remains an open problem due to the under-actuation and nonlinearity of its dynamics, which make it difficult to solve this problem directly. In this paper, the time-optimal control problem of the…

Robotics · Computer Science 2024-01-12 Guangyu Zhang , Yongjie Zheng , Yuqing He , Liying Yang , Hongyu Nie , Chaoxiong Huang , Yiwen Zhao

Boom cranes are among the most common material handling systems due to their simple design. Some boom cranes also have an auxiliary jib connected to the boom with a flexible joint to enhance the maneuverability and increase the workspace of…

Systems and Control · Electrical Eng. & Systems 2021-03-04 Michele Ambrosino , Brent Thierens , Arnaud Dawans , Emanuele Garone

In this paper, we investigate the minimal time problem for the guidance of a rocket, whose motion is described by its attitude kinematics and dynamics but also by its orbit dynamics. Our approach is based on a refined geometric study of the…

Optimization and Control · Mathematics 2015-07-02 Jiamin Zhu , Emmanuel Trélat , Max Cerf

Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask…

Statistical Mechanics · Physics 2025-01-15 Dario Lucente , Alessandro Manacorda , Andrea Plati , Alessandro Sarracino , Marco Baldovin

This article addresses the design of a discrete-time flatness-based tracking control for a gantry crane and demonstrates the practical applicability of the approach by measurement results. The required sampled-data model is derived by an…

Systems and Control · Electrical Eng. & Systems 2022-01-04 Johannes Diwold , Bernd Kolar , Markus Schöberl

A minimum-time reorientation of an axisymmetric rigid spacecraft controlled by three torques is studied. The orientation of the body is modeled such that the attitude kinematics are representative of a spin-stabilized spacecraft. The…

Optimization and Control · Mathematics 2022-03-23 Elisha R. Pager , Anil V. Rao

Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest in control problems in stochastic thermodynamics, typically concerning a…

Statistical Mechanics · Physics 2025-03-26 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

In drone racing, the time-minimum trajectory is affected by the drone's capabilities, the layout of the race track, and the configurations of the gates (e.g., their shapes and sizes). However, previous studies neglect the configuration of…

Robotics · Computer Science 2024-05-07 Chao Qin , Maxime S. J. Michet , Jingxiang Chen , Hugh H. -T. Liu

The optimal control of passive systems in equilibrium typically favours quasistatic (infinite-time) protocols. We show that a breakdown of quasistatic optimality occurs when the controller itself is dissipative. Concretely, we study a…

Statistical Mechanics · Physics 2026-05-08 Luca Cocconi , Henry Alston , Thibault Bertrand

Solving optimal control problems to determine a stabilizing controller involves a significant computational effort. Time-varying optimal control provides a remedy by designing a tracking system, given as an ordinary differential equation,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Patrick Schmidt , Stefan Streif

In this paper, we consider a varying terminal time structure for the stochastic optimal control problem under state constraints, in which the terminal time varies with the mean value of the state. In this new stochastic optimal control…

Optimization and Control · Mathematics 2024-09-05 Jin Shi , Shuzhen Yang
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