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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

In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration. This paper analyzes the MPC design problem with control performance and required…

最优化与控制 · 数学 2016-04-25 Vincent Bachtiar , Chris Manzie , William H. Moase , Eric C. Kerrigan

Model Predictive Control (MPC) typically includes a terminal constraint to guarantee stability of the closed-loop system under nominal conditions. In linear MPC this constraint is generally taken on a polyhedral set, leading to a quadratic…

最优化与控制 · 数学 2024-05-01 Pablo Krupa , Rim Jaouani , Daniel Limon , Teodoro Alamo

Application of nonlinear model predictive control (NMPC) to problems with hybrid dynamical systems, disjoint constraints, or discrete controls often results in mixed-integer formulations with both continuous and discrete decision variables.…

系统与控制 · 电气工程与系统科学 2024-01-24 Christopher A. Orrico , W. P. M. H. Heemels , Dinesh Krishnamoorthy

The classical Method of Successive Approximations (MSA) is an iterative method for solving stochastic control problems and is derived from Pontryagin's optimality principle. It is known that the MSA may fail to converge. Using careful…

最优化与控制 · 数学 2020-11-18 Bekzhan Kerimkulov , David Šiška , Łukasz Szpruch

Mixed-integer model predictive control (MI-MPC) requires the solution of a mixed-integer quadratic program (MIQP) at each sampling instant under strict timing constraints, where part of the state and control variables can only assume a…

最优化与控制 · 数学 2019-03-22 Pedro Hespanhol , Rien Quirynen , Stefano Di Cairano

Model predictive control (MPC) is an optimal control strategy where control input calculation is based on minimizing the predicted tracking error over a finite horizon that moves with time. This strategy has an advantage over conventional…

系统与控制 · 电气工程与系统科学 2021-12-28 Joseph Chai , Eran Medagoda , Erkan Kayacan

Nonlinear model predictive control has been widely adopted to manipulate bilinear systems with dynamics that include products of the inputs and the states. These systems are ubiquitous in chemical processes, mechanical systems, and quantum…

系统与控制 · 电气工程与系统科学 2023-07-06 Yingzhao Lian , Yuning Jiang , Daniel F. Opila , Colin N. Jones

In this paper, we consider a Model Predictive Control (MPC) problem of a continuous-time linear time-invariant system subject to continuous-time path constraints on the states and the inputs. By leveraging the concept of differential…

最优化与控制 · 数学 2023-04-19 Zishuo Li , Bo Yang , Jiayun Li , Jiaqi Yan , Yilin Mo

Forming (hybrid) AC/DC microgrids (MGs) has become a promising manner for the interconnection of various kinds of distributed generators that are inherently AC or DC electric sources. This paper addresses the distributed asynchronous power…

系统与控制 · 计算机科学 2019-05-02 Zhaojian Wang , Shengwei Mei , Feng Liu , Peng Yi , Ming Cao

This paper develops a distributed model predictive control (DMPC) strategy for a class of discrete-time linear systems with consideration of globally coupled constraints. The DMPC under study is based on the dual problem concerning all…

最优化与控制 · 数学 2019-07-25 Yanxu Su , Yang Shi , Changyin Sun

This paper introduces a dual-regularized ADMM approach to distributed, time-varying optimization. The proposed algorithm is designed in a prediction-correction framework, in which the computing nodes predict the future local costs based on…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Andrea Simonetto , Ruggero Carli

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

Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

系统与控制 · 电气工程与系统科学 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

Model merging has emerged as a cost-efficient approximation to multitask learning. Among merging strategies, task arithmetic is notable for its simplicity and effectiveness. In this work, we provide a theoretical motivation for task vectors…

We model, simulate and control the guiding problem for a herd of evaders under the action of repulsive drivers. The problem is formulated in an optimal control framework, where the drivers (controls) aim to guide the evaders (states) to a…

最优化与控制 · 数学 2020-05-01 Dongnam Ko , Enrique Zuazua

In this paper, we propose a parallel shooting algorithm for solving nonlinear model predictive control problems using sequential quadratic programming. This algorithm is built on a two-phase approach where we first test and assess…

系统与控制 · 电气工程与系统科学 2023-07-21 P. C. N. Verheijen , M. Haghi , M. Lazar , D. Goswami

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

最优化与控制 · 数学 2020-11-24 Kunwu Zhang , Yang Shi

Long prediction horizons in Model Predictive Control (MPC) often prove to be efficient, however, this comes with increased computational cost. Recently, a Robust Model Predictive Control (RMPC) method has been proposed which exploits models…

系统与控制 · 电气工程与系统科学 2021-05-17 Tim Brüdigam , Johannes Teutsch , Dirk Wollherr , Marion Leibold

We systematically review the Variational Optimization, Variational Inference and Stochastic Search perspectives on sampling-based dynamic optimization and discuss their connections to state-of-the-art optimizers and Stochastic Optimal…

最优化与控制 · 数学 2022-11-23 Ziyi Wang , Augustinos D. Saravanos , Hassan Almubarak , Oswin So , Evangelos A. Theodorou