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Optimal control provides a principled framework for transforming dynamical system models into intelligent decision-making, yet classical computational approaches are often too expensive for real-time deployment in dynamic or uncertain…

最优化与控制 · 数学 2026-01-01 Wuzhe Xu , Jiequn Han , Rongjie Lai

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

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

系统与控制 · 计算机科学 2016-03-10 Jung-Su Ha , Han-Lim Choi

The mathematical modeling of numerous real-world applications results in hierarchical optimization problems with two decision makers where at least one of them has to solve an optimal control problem of ordinary or partial differential…

最优化与控制 · 数学 2019-06-20 Patrick Mehlitz , Gerd Wachsmuth

This paper explores continuous-time and state-space optimal stopping problems from a reinforcement learning perspective. We begin by formulating the stopping problem using randomized stopping times, where the decision maker's control is…

最优化与控制 · 数学 2026-03-12 Jodi Dianetti , Giorgio Ferrari , Renyuan Xu

This paper presents a novel convex optimization-based method for finding the globally optimal solutions of a class of mixed-integer non-convex optimal control problems. We consider problems with non-convex constraints that restrict the…

最优化与控制 · 数学 2019-11-21 Danylo Malyuta , Behcet Acikmese

This paper details an approach to linearise differentiable but non-convex collision avoidance constraints tailored to convex shapes. It revisits introducing differential collision avoidance constraints for convex objects into an optimal…

最优化与控制 · 数学 2025-05-19 Dries Dirckx , Wilm Decré , Jan Swevers

We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this,…

量子物理 · 物理学 2022-11-30 Luuk Coopmans , Steve Campbell , Gabriele De Chiara , Anthony Kiely

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

系统与控制 · 电气工程与系统科学 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

This work introduces a stochastic model predictive control scheme for dynamic chance constraints. We consider linear discrete-time systems affected by unbounded additive stochastic disturbance. To synthesize an optimal controller, we solve…

系统与控制 · 电气工程与系统科学 2023-07-26 Maico Hendrikus Wilhelmus Engelaar , Sofie Haesaert , Mircea Lazar

Optimal control of wheel loaders in short loading cycles is studied in this paper. For modeling the wheel loader, the data from a validated diesel engine model is used to find a control oriented mean value engine model. The driveline is…

系统与控制 · 电气工程与系统科学 2019-07-30 Tohid Sardarmehni , Xingyong Song

In this paper, we address the problem of closed-loop control of nonlinear dynamical systems subjected to probabilistic uncertainties. More precisely, we design time-varying polynomial feedback controllers to follow the given nominal…

最优化与控制 · 数学 2019-12-10 Ashkan Jasour , Brian Williams

The paper is devoted to the study of a new class of optimal control problems for nonsmooth dynamical systems governed by nonconvex discontinuous differential inclusions of the sweeping type with involving variable time into optimization. We…

最优化与控制 · 数学 2025-03-05 Tan H. Cao , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Nguyen N. Thieu

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

机器人学 · 计算机科学 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky

This paper demonstrates a refined approach to solving dynamic optimization problems for underactuated marine surface vessels. To this end the differential flatness of a mathematical model assuming full actuation is exploited to derive an…

系统与控制 · 电气工程与系统科学 2021-11-01 Max Lutz , Thomas Meurer

Solutions to optimal control problems can be discontinuous, even if all the functionals defining the problem are smooth. This can cause difficulties when numerically computing solutions to these problems. While conventional numerical…

最优化与控制 · 数学 2022-11-21 Lucian Nita , Eric C. Kerrigan , Eduardo M. G. Vila , Yuanbo Nie

In this paper, we consider a class of optimal control problems governed by 1D parabolic state-systems of KWC types with dynamic boundary conditions. The state-systems are based on a phase-field model of grain boundary motion, proposed in…

偏微分方程分析 · 数学 2020-10-05 Shodai Kubota , Ryota Nakayashiki , Ken Shirakawa

This survey article deals with applications of optimal control to aerospace problems with a focus on modern geometric optimal control tools and numerical continuation techniques. Geometric optimal control is a theory combining optimal…

最优化与控制 · 数学 2017-01-24 Jiamin Zhu , Emmanuel Trélat , Max Cerf

Computationally efficient nonlinear model predictive control relies on elaborate discrete-time optimal control problem (OCP) formulations trading off accuracy with respect to the continuous-time problem and associated computational burden.…

最优化与控制 · 数学 2024-08-15 Jonathan Frey , Katrin Baumgärtner , Gianluca Frison , Moritz Diehl

In this paper, we investigate an optimal control problem with terminal stochastic linear complementarity constraints (SLCC), and its discrete approximation using the relaxation, the sample average approximation (SAA) and the implicit Euler…

最优化与控制 · 数学 2022-08-17 Jianfeng Luo , Xiaojun Chen