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Distributed optimization is often widely attempted and innovated as an attractive and preferred methodology to solve large-scale problems effectively in a localized and coordinated manner. Thus, it is noteworthy that the methodology of…

最优化与控制 · 数学 2021-08-30 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Clarence W. de Silva , Tong Heng Lee

Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of…

最优化与控制 · 数学 2024-12-16 Anusha Srikanthan , Aren Karapetyan , Vijay Kumar , Nikolai Matni

The paper presents a distributed model predictive control (DMPC) scheme for continuous-time nonlinear systems based on the alternating direction method of multipliers (ADMM). A stopping criterion in the ADMM algorithm limits the iterations…

最优化与控制 · 数学 2017-06-30 Anja Bestler , Knut Graichen

In this paper we propose an Alternating Direction Method of Multipliers (ADMM) algorithm for solving a Model Predictive Control (MPC) optimization problem, in which the system has state and input constraints and a nonlinear input map. The…

最优化与控制 · 数学 2018-07-30 Sebastian East , Mark Cannon

In this paper we present a convex formulation of the Model Predictive Control (MPC) optimisation for energy management in hybrid electric vehicles, and an Alternating Direction Method of Multipliers (ADMM) algorithm for its solution. We…

最优化与控制 · 数学 2019-01-24 Sebastian East , Mark Cannon

This paper investigates the collision-free control problem for multi-agent systems. For such multi-agent systems, it is the typical situation where conventional methods using either the usual centralized model predictive control (MPC), or…

多智能体系统 · 计算机科学 2024-02-07 Zilong Cheng , Jun Ma , Wenxin Wang , Zicheng Zhu , Clarence W. de Silva , Tong Heng Lee

Cloud computing creates new possibilities for control applications by offering powerful computation and storage capabilities. In this paper, we propose a novel cloud-assisted model predictive control (MPC) framework in which we…

系统与控制 · 电气工程与系统科学 2021-06-22 Nan Li , Kaixiang Zhang , Zhaojian Li , Vaibhav Srivastava , Xiang Yin

The alternating direction method of multipliers (ADMM) has gained increasing popularity in embedded model predictive control (MPC) due to its code simplicity and pain-free parameter selection. However, existing ADMM solvers either target…

最优化与控制 · 数学 2026-05-22 Liang Wu , Bo Yang , Junheng Li , Xu Yang , Yilin Mo , Yang Shi , Aaron D. Ames , Ján Drgoňa

The Alternating Direction Method of Multipliers (ADMM) has now days gained tremendous attentions for solving large-scale machine learning and signal processing problems due to the relative simplicity. However, the two-block structure of the…

最优化与控制 · 数学 2020-03-23 Mingxi Zhu , Kresimir Mihic , Yinyu Ye

We present a Model Predictive Control (MPC) algorithm for energy management in aircraft with hybrid electric propulsion systems consisting of gas turbine and electric motor components. Series and parallel configurations are considered. By…

最优化与控制 · 数学 2022-06-13 Martin Doff-Sotta , Mark Cannon , Marko Bacic

This paper deals with model predictive control problems for large scale dynamical systems with cyclic symmetry. Based on the properties of block circulant matrices, we introduce a complex-valued coordinate transformation that block…

最优化与控制 · 数学 2019-04-09 Idris Kempf , Paul J. Goulart , Stephen Duncan

Model Predictive Control (MPC) for tracking formulation presents numerous advantages compared to standard MPC, such as a larger domain of attraction and recursive feasibility even when abrupt changes in the reference are produced. As a…

系统与控制 · 电气工程与系统科学 2025-03-24 Victor Gracia , Pablo Krupa , Daniel Limon , Teodoro Alamo

Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine leaning, communications, and many other fields. Despite its…

最优化与控制 · 数学 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

The Alternating Direction Method of Multipliers (ADMM) has gained a lot of attention for solving large-scale and objective-separable constrained optimization. However, the two-block variable structure of the ADMM still limits the practical…

最优化与控制 · 数学 2020-03-24 Kresimir Mihic , Mingxi Zhu , Yinyu Ye

Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

最优化与控制 · 数学 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

We consider the problem of minimizing block-separable convex functions subject to linear constraints. While the Alternating Direction Method of Multipliers (ADMM) for two-block linear constraints has been intensively studied both…

最优化与控制 · 数学 2014-09-15 Huahua Wang , Arindam Banerjee , Zhi-Quan Luo

This paper presents a novel approach for distributed model predictive control (MPC) for piecewise affine (PWA) systems. Existing approaches rely on solving mixed-integer optimization problems, requiring significant computation power or…

最优化与控制 · 数学 2025-01-06 Samuel Mallick , Azita Dabiri , Bart De Schutter

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

系统与控制 · 电气工程与系统科学 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

This work presents a new method for online selection of multiple penalty parameters for the alternating direction method of multipliers (ADMM) algorithm applied to optimization problems with multiple constraints or functionals with block…

图像与视频处理 · 电气工程与系统科学 2026-04-21 Luke Lozenski , Michael T. McCann , Brendt Wohlberg

The alternating direction method of multipliers (ADMM) is a powerful operator splitting technique for solving structured convex optimization problems. Due to its relatively low per-iteration computational cost and ability to exploit…

最优化与控制 · 数学 2020-06-09 Michel Schubiger , Goran Banjac , John Lygeros
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