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We introduce a modeling framework for manipulation planning based on the formulation of the dynamics as a projected dynamical system. This method uses implicit signed distance functions and their gradients to formulate an equivalent…

最优化与控制 · 数学 2025-01-22 Anton Pozharskiy , Armin Nurkanović , Moritz Diehl

It has been recently established that a deterministic infinite horizon discounted optimal control problem in discrete time is closely related to a certain infinite dimensional linear programming problem and its dual. In the present paper,…

最优化与控制 · 数学 2018-02-19 Vladimir Gaitsgory , Alex Parkinson , Ilya Shvartsman

We study an optimal process control problem with multiple assignable causes. The process is initially in-control but is subject to random transition to one of multiple out-of-control states due to assignable causes. The objective is to find…

最优化与控制 · 数学 2012-12-12 Jue Wang , Chi-Guhn Lee

Discrete-time robust optimal control problems generally take a min-max structure over continuous variable spaces, which can be difficult to solve in practice. In this paper, we extend the class of such problems that can be solved through a…

最优化与控制 · 数学 2024-04-30 Jad Wehbeh , Eric C. Kerrigan

This paper develops an optimal relative output-feedback based solution to the containment control problem of linear heterogeneous multi-agent systems. A distributed optimal control protocol is presented for the followers to not only assure…

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

In this paper, we present a framework for solving continuous optimal control problems when the true system dynamics are approximated through an imperfect model. We derive a control strategy by applying Pontryagin's Minimum Principle to the…

系统与控制 · 电气工程与系统科学 2026-03-31 Panagiotis Kounatidis , Andreas A. Malikopoulos

The core of the Model Predictive Control (MPC) method in every step of the algorithm consists in solving a time-dependent optimization problem on the prediction horizon of the MPC algorithm, and then to apply a portion of the optimal…

最优化与控制 · 数学 2021-01-15 Alessandro Alla , Carmen Gräßle , Michael Hinze

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

最优化与控制 · 数学 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

In previous work, a Cooperative Receding Horizon (CRH) controller was developed for solving cooperative multi-agent problems in uncertain environments. In this paper, we overcome several limitations of this controller, including potential…

系统与控制 · 计算机科学 2014-09-01 Yasaman Khazaeni , Christos G. Cassandras

We propose a new LMI approach to the design of optimal switching sequences for polynomial dynamical systems with state constraints. We formulate the switching design problem as an optimal control problem which is then relaxed to a linear…

最优化与控制 · 数学 2013-03-11 Didier Henrion , Jamal Daafouz , Mathieu Claeys

The optimal control for mobile agents is an important and challenging issue. Recent work shows that using randomized mechanism in agents' control can make the state unpredictable, and thus improve the security of agents. However, the…

系统与控制 · 电气工程与系统科学 2022-09-05 Chendi Qu , Jianping He , Jialun Li

This work proposes a finite-horizon optimal control strategy to solve the tracking problem while providing avoidance features to the closed-loop system. Inspired by the set-point tracking model predictive control (MPC) framework, the…

系统与控制 · 电气工程与系统科学 2023-11-17 Marcelo A. Santos , Antonio Ferramosca , Guilherme V. Raffo

We present safe control of partially-observed linear time-varying systems in the presence of unknown and unpredictable process and measurement noise. We introduce a control algorithm that minimizes dynamic regret, i.e., that minimizes the…

系统与控制 · 电气工程与系统科学 2023-04-03 Hongyu Zhou , Vasileios Tzoumas

We consider linear model reduction in both the control and state variables for unconstrained linear-quadratic optimal control problems subject to time-varying parabolic PDEs. The first-order optimality condition for a state-space reduced…

最优化与控制 · 数学 2025-10-17 Michael Kartmann , Stefan Volkwein

In this work, solution of the finite horizon hybrid optimal control problem as the central element of the receding horizon optimal control (model predictive control) is investigated based on the indirect approach. The response of a hybrid…

系统与控制 · 计算机科学 2020-09-24 Babak Tavassoli

In control system networks, reconfiguration of the controller when agents are leaving or joining the network is still an open challenge, in particular when operation constraints that depend on each agent's behavior must be met. Drawing our…

系统与控制 · 电气工程与系统科学 2023-04-05 Danilo Saccani , Lorenzo Fagiano , Melanie N. Zeilinger , Andrea Carron

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

Synthesizing optimal controllers for dynamical systems often involves solving optimization problems with hard real-time constraints. These constraints determine the class of numerical methods that can be applied: computationally expensive…

最优化与控制 · 数学 2022-03-16 Federico Berto , Stefano Massaroli , Michael Poli , Jinkyoo Park

We consider the synthesis problem of a multi-agent system under signal temporal logic (STL) specifications representing bounded-time tasks that need to be satisfied recurrently over an infinite horizon. Motivated by the limited approaches…

系统与控制 · 电气工程与系统科学 2024-04-29 Eleftherios E. Vlahakis , Lars Lindemann , Dimos V. Dimarogonas