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In this paper, we present a robust distributed model predictive control (DMPC) scheme for dynamically decoupled nonlinear systems which are subject to state constraints, coupled state constraints and input constraints. In the proposed…

系统与控制 · 电气工程与系统科学 2024-10-07 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

Distributed optimization, where the computations are performed in a localized and coordinated manner using multiple agents, is a promising approach for solving large-scale optimization problems, e.g., those arising in model predictive…

系统与控制 · 电气工程与系统科学 2020-04-07 Wentao Tang , Prodromos Daoutidis

Inexact alternating direction multiplier methods (ADMMs) are developed for solving general separable convex optimization problems with a linear constraint and with an objective that is the sum of smooth and nonsmooth terms. The approach…

最优化与控制 · 数学 2016-04-12 William W. Hager , Hongchao Zhang

This paper presents an adaptive tracking model predictive control (MPC) scheme to control unknown nonlinear systems based on an adaptively estimated linear model. The model is determined based on linear system identification using a moving…

系统与控制 · 电气工程与系统科学 2024-05-17 Tatiana Strelnikova , Johannes Köhler , Julian Berberich

This paper proposes a multiblock alternating direction method of multipliers for solving a class of multiblock nonsmooth nonconvex optimization problem with nonlinear coupling constraints. We employ a majorization minimization procedure in…

最优化与控制 · 数学 2023-12-05 Le Thi Khanh Hien , Dimitri Papadimitriou

Model predictive control (MPC) achieves stability and constraint satisfaction for general nonlinear systems, but requires computationally expensive online optimization. This paper studies approximations of such MPC controllers via neural…

系统与控制 · 电气工程与系统科学 2025-11-07 Henrik Hose , Johannes Köhler , Melanie N. Zeilinger , Sebastian Trimpe

This article proposes a Novel Nonlinear Model Predictive Control (NMPC) for navigation and obstacle avoidance of an Unmanned Aerial Vehicle (UAV). The proposed NMPC formulation allows for a fully parametric obstacle trajectory, while in…

机器人学 · 计算机科学 2020-08-04 Björn Lindqvist , Sina Sharif Mansouri , Ali-akbar Agha-mohammadi , George Nikolakopoulos

We analyze the performance of the alternating direction method of multipliers (ADMM) to track, in a decentralized manner, a solution of a stochastic sequence of optimization problems parametrized by a discrete time Markov process. The main…

最优化与控制 · 数学 2019-03-18 Marie Maros , Joakim Jalén

Model predictive control (MPC) has proven useful in enabling safe and optimal motion planning for autonomous vehicles. In this paper, we investigate how to achieve MPC-based motion planning when a neural state-space model represents the…

机器人学 · 计算机科学 2025-11-18 Iman Askari , Ali Vaziri , Xuemin Tu , Shen Zeng , Huazhen Fang

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

机器人学 · 计算机科学 2024-11-01 Davide Celestini , Daniele Gammelli , Tommaso Guffanti , Simone D'Amico , Elisa Capello , Marco Pavone

This paper proposes an offline control algorithm, called Recurrent Model Predictive Control (RMPC), to solve large-scale nonlinear finite-horizon optimal control problems. It can be regarded as an explicit solver of traditional Model…

系统与控制 · 电气工程与系统科学 2022-04-11 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Bo Cheng

The increasing presence of large-scale distributed systems highlights the need for scalable control strategies where only local communication is required. Moreover, in safety-critical systems it is imperative that such control strategies…

最优化与控制 · 数学 2022-03-16 Carmen Amo Alonso , Jing Shuang Li , James Anderson , Nikolai Matni

The classic Alternating Direction Method of Multipliers (ADMM) is a popular framework to solve linear-equality constrained problems. In this paper, we extend the ADMM naturally to nonlinear equality-constrained problems, called neADMM. The…

最优化与控制 · 数学 2021-03-17 Junxiang Wang , Liang Zhao

This paper presents a numerical solver for computing continuous trajectories in non-convex environments. Our approach relies on a customized implementation of the Alternating Direction Method of Multipliers (ADMM) built upon two key…

机器人学 · 计算机科学 2026-03-13 Lukas Pries , Jon Arrizabalaga , Zachary Manchester , Markus Ryll

Parabolic optimal control problems with control constraints are generally challenging, from either theoretical analysis or algorithmic design perspectives. Conceptually, the well-known alternating direction method of multipliers (ADMM) can…

最优化与控制 · 数学 2020-05-05 Yongcun Song , Xiaoming Yuan , Hangrui Yue

In this paper, we propose a unified framework of inexact stochastic Alternating Direction Method of Multipliers (ADMM) for solving nonconvex problems subject to linear constraints, whose objective comprises an average of finite-sum smooth…

最优化与控制 · 数学 2024-03-05 Yuxuan Zeng , Jianchao Bai , Shengjia Wang , Zhiguo Wang

This paper aims to develop distributed algorithms for nonconvex optimization problems with complicated constraints associated with a network. The network can be a physical one, such as an electric power network, where the constraints are…

最优化与控制 · 数学 2022-11-21 Kaizhao Sun , X. Andy Sun

In this note, we consider infinite horizon optimal control problems with deterministic systems. Since exact solutions to these problems are often intractable, we propose a parallel model predictive control (MPC) method that provides an…

最优化与控制 · 数学 2025-04-29 Yuchao Li , Aren Karapetyan , Niklas Schmid , John Lygeros , Karl H. Johansson , Jonas Mårtensson

The alternating direction method of multipliers (ADMM) is commonly used for distributed model fitting problems, but its performance and reliability depend strongly on user-defined penalty parameters. We study distributed ADMM methods that…

机器学习 · 计算机科学 2017-06-21 Zheng Xu , Gavin Taylor , Hao Li , Mario Figueiredo , Xiaoming Yuan , Tom Goldstein

Model Predictive Control (MPC) is a computationally demanding control technique that allows dealing with multiple-input and multiple-output systems, while handling constraints in a systematic way. The necessity of solving an optimization…

系统与控制 · 计算机科学 2021-12-16 Bulat Khusainov , Eric C. Kerrigan , George A. Constantinides