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Heavy computational load for solving nonconvex problems for large-scale systems or systems with real-time demands at each sample step has been recognized as one of the reasons for preventing a wider application of nonlinear model predictive…

Optimization and Control · Mathematics 2022-04-19 Yaling Ma , Runze Gao , Li Dai , Jinxian Wu , Yuanqing Xia

We propose a distributed optimization method for solving a distributed model predictive consensus problem. The goal is to design a distributed controller for a network of dynamical systems to optimize a coupled objective function while…

Optimization and Control · Mathematics 2012-12-07 Tyler H. Summers , John Lygeros

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…

Multiagent Systems · Computer Science 2024-02-07 Zilong Cheng , Jun Ma , Wenxin Wang , Zicheng Zhu , Clarence W. de Silva , Tong Heng Lee

Many real-world multi-agent systems exhibit nonlinear dynamics and complex inter-agent interactions. As these systems increase in scale, the main challenges arise from achieving scalability and handling nonconvexity. To address these…

Optimization and Control · Mathematics 2025-10-22 Taehyun Yoon , Augustinos D. Saravanos , Evangelos A. Theodorou

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…

Optimization and Control · Mathematics 2018-07-30 Sebastian East , Mark Cannon

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…

Optimization and Control · Mathematics 2017-06-30 Anja Bestler , Knut Graichen

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…

Optimization and Control · Mathematics 2020-03-24 Kresimir Mihic , Mingxi Zhu , Yinyu Ye

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…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Wentao Tang , Prodromos Daoutidis

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng 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…

Optimization and Control · Mathematics 2022-11-21 Kaizhao Sun , X. Andy Sun

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…

Optimization and Control · Mathematics 2020-03-23 Mingxi Zhu , Kresimir Mihic , Yinyu Ye

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…

Optimization and Control · Mathematics 2019-01-24 Sebastian East , Mark Cannon

Large scale, non-convex optimization problems arising in many complex networks such as the power system call for efficient and scalable distributed optimization algorithms. Existing distributed methods are usually iterative and require…

Optimization and Control · Mathematics 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

The alternating direction method of multipliers (ADMM) has been popular for solving many signal processing problems, convex or nonconvex. In this paper, we study an asynchronous implementation of the ADMM for solving a nonconvex nonsmooth…

Information Theory · Computer Science 2014-12-19 Mingyi Hong

This paper focuses on distributed learning-based control of decentralized multi-agent systems where the agents' dynamics are modeled by Gaussian Processes (GPs). Two fundamental problems are considered: the optimal design of experiment for…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Viet-Anh Le , Truong X. Nghiem

We study a class of structured convex optimization problems, which have a two-block separable objective and nonlinear functional constraints as well as affine constraints that couple the two block variables. Such problems naturally arise…

Optimization and Control · Mathematics 2026-02-27 Zhengjie Xiong , Yangyang Xu

We address the problem of solving convex optimization problems with many convex constraints in a distributed setting. Our approach is based on an extension of the alternating direction method of multipliers (ADMM) that recently gained a lot…

Optimization and Control · Mathematics 2018-04-09 Joachim Giesen , Sören Laue

This paper presents centralized and distributed Alternating Direction Method of Multipliers (ADMM) frameworks for solving large-scale nonconvex optimization problems with binary decision variables subject to spanning tree or rooted…

Optimization and Control · Mathematics 2026-03-10 Yacine Mokhtari

This paper investigates the cooperative planning and control problem for multiple connected autonomous vehicles (CAVs) in different scenarios. In the existing literature, most of the methods suffer from significant problems in computational…

Multiagent Systems · Computer Science 2021-01-05 Xiaoxue Zhang , Zilong Cheng , Jun Ma , Sunan Huang , Frank L. Lewis , Tong Heng Lee

To reduce complexity and achieve scalable performance in high-dimensional black-box settings, we propose a distributed method for nonconvex derivative-free optimization of continuous variables with an additively separable objective, subject…

Optimization and Control · Mathematics 2025-11-03 Damilola Fasiku , Wentao Tang
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