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PDE-constrained optimal control problems require regularisation to ensure well-posedness, introducing small perturbations that make the solutions challenging to approximate accurately. We propose a finite element approach that couples both…

数值分析 · 数学 2025-03-17 Jenny Power , Tristan Pryer

We propose a distributed design method for decentralized control by exploiting the underlying sparsity properties of the problem. Our method is based on chordal decomposition of sparse block matrices and the alternating direction method of…

最优化与控制 · 数学 2020-08-07 Yang Zheng , Maryam Kamgarpour , Aivar Sootla , Antonis Papachristodoulou

This paper presents a method to approximately solve stochastic optimal control problems in which the cost function and the system dynamics are polynomial. For stochastic systems with polynomial dynamics, the moments of the state can be…

最优化与控制 · 数学 2017-02-24 Andrew Lamperski , Khem Raj Ghusinga , Abhyudai Singh

In this paper, we study a safe control design for dynamical systems in the presence of uncertainty in a dynamical environment. The worst-case error approach is considered to formulate robust Control Barrier Functions (CBFs) in an…

系统与控制 · 电气工程与系统科学 2024-02-15 Vahid Hamdipoor , Nader Meskin , Christos G. Cassandras

Automated synthesis of correct-by-construction controllers for autonomous systems is crucial for their deployment in safety-critical scenarios. Such autonomous systems are naturally modeled as stochastic dynamical models. The general…

系统与控制 · 电气工程与系统科学 2023-11-17 Thom Badings , Nils Jansen , Licio Romao , Alessandro Abate

In this paper, we present an approach for designing correct-by-design controllers for cyber-physical systems composed of multiple dynamically interconnected uncertain systems. We consider networked discrete-time uncertain nonlinear systems…

系统与控制 · 电气工程与系统科学 2023-09-06 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

Interconnection and damping assignment passivity-based control scheme has been used to stabilize many physical systems such as underactuated mechanical systems through total energy shaping. In this method, some partial differential…

系统与控制 · 电气工程与系统科学 2021-11-16 M. Reza J. Harandi , Hamid D. Taghirad

We propose a new method for the problem of controlling linear dynamical systems under partial observation and adversarial disturbances. Our new algorithm, Double Spectral Control (DSC), matches the best known regret guarantees while…

机器学习 · 计算机科学 2025-05-28 Anand Brahmbhatt , Gon Buzaglo , Sofiia Druchyna , Elad Hazan

The present paper aims at providing a numerical strategy to deal with PDE-constrained optimization problems solved with the adjoint method. It is done through out a unified formulation of the constraint PDE and the adjoint model. The…

最优化与控制 · 数学 2017-12-01 Gino I. Montecinos , Juan Lopez-Rios , Jaime H. Ortega , Rodrigo Lecaros

Stabilization of an underactuated mechanical system may be accomplished by energy shaping. Interconnection and damping assignment passivity-based control is an approach based on total energy shaping by assigning desired kinetic and…

系统与控制 · 电气工程与系统科学 2021-12-17 M. Reza J. Harandi , Hamid D. Taghirad

Many relevant problems in the area of systems and control, such as controller synthesis, observer design and model reduction, can be viewed as optimization problems involving dynamical systems: for instance, maximizing performance in the…

最优化与控制 · 数学 2023-11-15 Pascal Den Boef , Jos Maubach , Wil Schilders , Nathan van de Wouw

A numerical method for coupled 3D-1D problems with discontinuous solutions at the interfaces is derived and discussed. This extends a previous work on the subject where only continuous solutions were considered. Thanks to properly defined…

数值分析 · 数学 2022-03-04 Stefano Berrone , Denise Grappein , Stefano Scialò

Direct methods for the simulation of optimal control problems apply a specific discretization to the dynamics of the problem, and the discrete adjoint method is suitable to calculate corresponding conditions to approximate an optimal…

Component-Based Development (CBD) is a popular approach to mitigating the costs of creating software systems. However, it is not clear to what extent the core component selection and adaptation activities of CBD can be implemented to…

软件工程 · 计算机科学 2022-05-11 Todd Wareham , Marieke Sweers

This paper deals with a stochastic optimal feedback control problem for the controlled stochastic partial differential equations. More precisely, we establish the existence of stochastic optimal feedback control for the controlled…

概率论 · 数学 2025-01-07 Gaofeng Zong

In this paper, a quadratic optimal control problem is considered for second-order parabolic PDEs with homogeneous Dirichlet boundary conditions, in which the "point" control function (depending only on time) constitutes a source term. These…

系统与控制 · 电气工程与系统科学 2024-07-04 Gilberto O. Corrêa , Marlon M. López-Flores , Alexandre L. Madureira

General purpose correct-by-construction synthesis methods are limited to systems with low dimensionality or simple specifications. In this work we consider highly symmetrical counting problems and exploit the symmetry to synthesize provably…

系统与控制 · 计算机科学 2018-07-11 Petter Nilsson , Necmiye Ozay

The study of optimal control problems under uncertainty plays an important role in scientific numerical simulations. This class of optimization problems is strongly utilized in engineering, biology and finance. In this paper, a stochastic…

最优化与控制 · 数学 2023-04-06 Caroline Geiersbach , Teresa Scarinci

This work studies the null controllability of a system of coupled parabolic PDEs. In particular, our work specializes to an important subclass of these control problems which are coupled by first and zero-order couplings and are,…

最优化与控制 · 数学 2018-10-17 Drew Steeves , Bahman Gharesifard , Abdol-Reza Mansouri

This paper introduces a control co-design (CCD) framework to simultaneously explore the physical parameters and control spaces for a hydro-kinetic turbine (HKT) rotor optimization. The optimization formulation incorporates a coupled…

系统与控制 · 电气工程与系统科学 2022-04-05 Boxi Jiang , Mohammad Reza Amini , Yingqian Liao , Joaquim R. R. A. Martins , Jing Sun