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The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the duration of the dynamic process into optimization. We develop…

最优化与控制 · 数学 2023-10-18 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

系统与控制 · 电气工程与系统科学 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

The paper addresses an optimal control problem for a perturbed sweeping process of the rate-independent hysteresis type described by a controlled "play and stop" operator with separately controlled perturbations. This problem can be reduced…

最优化与控制 · 数学 2015-12-01 Tan H. Cao , Boris S. Mordukhovich

Models involving hybrid systems are versatile in their application but difficult to optimize efficiently due to their combinatorial nature. This work presents a method to cope with hybrid optimal control problems which, in contrast to…

最优化与控制 · 数学 2025-05-20 Viktoriya Nikitina , Alberto De Marchi , Matthias Gerdts

This article describes a new, efficient way of finding control and state trajectories in optimal control problems by reformulation as a system of differential-algebraic equations (DAEs). The optimal control and state vectors can be obtained…

系统与控制 · 电气工程与系统科学 2025-06-13 Prakitr Srisuma , George Barbastathis , Richard D. Braatz

This paper concerns the numerical procedure for solving hybrid optimal control problems with sliding modes. A sliding mode is coped with differential-algebraic equations (DAEs) and that guarantees accurate tracking of the sliding motion…

最优化与控制 · 数学 2021-01-21 Radoslaw Pytlak , Damian Suski

In this work, the artificial recirculation of water is presented and analyzed, from the perspective of the optimal control of partial differential equations, as a tool to prevent eutrophication effects in large waterbodies. A novel…

最优化与控制 · 数学 2020-07-23 Francisco J. Fernández , Aurea Martínez , Lino J. Alzarez-Vázquez

This paper focuses on optimal control problem for a class of discrete-time nonlinear systems. In practical applications, computation time is a crucial consideration when solving nonlinear optimal control problems, especially under real-time…

最优化与控制 · 数学 2025-04-01 Chuanzhi Lv , Xunmin Yin , Hongdan Li , Huanshui Zhang

- In this paper we introduce a new method to solve fixed-delay optimal control problems which exploits numerical homotopy procedures. It is known that solving this kind of problems via indirect methods is complex and computationally…

最优化与控制 · 数学 2017-03-16 Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

The paper is devoted to deriving necessary optimality conditions in a general optimal control problem for dynamical systems governed by controlled sweeping processes with hard-constrained control actions entering both polyhedral moving sets…

最优化与控制 · 数学 2021-03-17 Tan H. Cao , Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen

We study the filtering problem over a Lie group that plays an important role in robotics and aerospace applications. We present a new particle filtering algorithm based on stochastic control. In particular, our algorithm is based on a…

最优化与控制 · 数学 2022-12-06 Bo Yuan , Qinsheng Zhang , Yongxin Chen

The goal of this paper is to solve a class of stochastic optimal control problems numerically, in which the state process is governed by an It\^o type stochastic differential equation with control process entering both in the drift and the…

最优化与控制 · 数学 2020-06-05 Richard Archibald , Feng Bao , Jiongmin Yong , Tao Zhou

We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distributed parameter systems endowed with multiple actuators,…

最优化与控制 · 数学 2013-04-23 Falk M. Hante , Sebastian Sager

The optimal control problem for open quantum systems can be formulated as a time-dependent Lindbladian that is parameterized by a number of time-dependent control variables. Given an observable and an initial state, the goal is to tune the…

量子物理 · 物理学 2024-05-30 Wenhao He , Tongyang Li , Xiantao Li , Zecheng Li , Chunhao Wang , Ke Wang

This article regards numerical optimal control of a class of hybrid systems with hysteresis using solely techniques from nonlinear optimization, without any integer variables. Hysteresis is a rate independent memory effect which often…

最优化与控制 · 数学 2022-08-02 Armin Nurkanović , Moritz Diehl

In this article, we propose optimal discretization of analog filters (or controllers) based on the theory of sampled-data H-infinity control. We formulate the discretization problem as minimization of the H-infinity norm of the error system…

系统与控制 · 计算机科学 2013-08-05 Masaaki Nagahara , Yutaka Yamamoto

Optimal control problems driven by evolutionary partial differential equations arise in many industrial applications and their numerical solution is known to be a challenging problem. One approach to obtain an optimal feedback control is…

数值分析 · 数学 2023-05-16 Gerhard Kirsten , Luca Saluzzi

This paper concerns two algorithms for solving optimal control problems with hybrid systems. The first algorithm aims at hybrid systems exhibiting sliding modes. The first algorithm has several features which distinguishes it from the other…

最优化与控制 · 数学 2025-08-05 Radoslaw Pytlak , Damian Suski

We present a numerically tractable formulation for computing the optimal control of the class of hybrid dynamical systems whose trajectories are continuous. Our formulation, an extension of existing relaxed-control techniques for switched…

最优化与控制 · 数学 2016-05-26 Tyler Westenbroek , Humberto Gonzalez

Time delays are ubiquitous in industrial processes, and they must be accounted for when designing control algorithms because they have a significant effect on the process dynamics. Therefore, in this work, we propose a simultaneous approach…

最优化与控制 · 数学 2024-10-22 Tobias K. S. Ritschel
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