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Model Predictive Control (MPC) has exhibited remarkable capabilities in optimizing objectives and meeting constraints. However, the substantial computational burden associated with solving the Optimal Control Problem (OCP) at each…

机器人学 · 计算机科学 2024-05-09 Yu Luo , Qie Sima , Tianying Ji , Fuchun Sun , Huaping Liu , Jianwei Zhang

This paper investigates the performance of Newton's method, iterative Linear Quadratic Regulator (iLQR), and Differential Dynamic Programming (DDP) in solving discrete-time optimal control problems. We offer a unified perspective on these…

最优化与控制 · 数学 2026-05-26 Abhijeet , Suman Chakravorty

In this paper, the finite horizon asymmetric information linear quadratic (LQ) control problem is investigated for a discrete-time mean field system. Different from previous works, multiple controllers with different information sets are…

最优化与控制 · 数学 2023-09-06 Qingyuan Qi , Zhiqiang Liu , Qianqian Zhang , Xinbei Lv

Model predictive control (MPC) is an optimization-based control strategy with broad industrial adoption. Unfortunately, the required computation time to solve the receding-horizon MPC optimization problem can become prohibitively large for…

系统与控制 · 电气工程与系统科学 2024-10-24 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

This paper presents a comprehensive overview of data-driven model predictive control, highlighting state-of-the-art methodologies and their numerical implementation. The discussion begins with a brief review of conventional model predictive…

系统与控制 · 电气工程与系统科学 2025-10-14 Midhun T. Augustine

This paper discusses discretization methods for implementing nonlinear model predictive controllers using Iterative Linear Quadratic Regulator (ILQR). Finite-difference approximations are mostly used to derive a discrete-time state equation…

系统与控制 · 电气工程与系统科学 2024-12-31 Katsuya Shigematsu , Hikaru Hoshino , Eiko Furutani

This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints. Using Q-parameterization and a polytope containment method, we prove that…

最优化与控制 · 数学 2021-09-23 Antoine Aspeel , Kwesi Rutledge , Raphaël M. Jungers , Benoit Macq , Necmiye Özay

This paper deals with the analysis and synthesis of a model predictive control (MPC) strategy used in connection with level control in conically shaped industrial liquid storage tanks. The MPC is based on a dynamical non-linear model…

系统与控制 · 计算机科学 2018-10-03 Martin Klaučo , Ľuboš Čirka

An explicit Model Predictive Control algorithm for large-scale structured linear systems is presented. We base our results on Distributed and Localized Model Predictive Control (DLMPC), a closed-loop model predictive control scheme based on…

最优化与控制 · 数学 2020-05-29 Carmen Amo Alonso , Nikolai Matni , James Anderson

This paper presents a state and state-input constrained variant of the discrete-time iterative Linear Quadratic Regulator (iLQR) algorithm, with linear time-complexity in the number of time steps. The approach is based on a projection of…

机器人学 · 计算机科学 2018-05-25 Markus Giftthaler , Jonas Buchli

In this paper, we study a data-enabled predictive control (DeePC) algorithm applied to unknown stochastic linear time-invariant systems. The algorithm uses noise-corrupted input/output data to predict future trajectories and compute optimal…

最优化与控制 · 数学 2019-11-04 Jeremy Coulson , John Lygeros , Florian Dörfler

The paper presents a novel method for designing an optimal controller for discrete-time switched linear systems. The problem is formulated as one of computing the discrete mode sequence and the continuous input sequence that jointly…

系统与控制 · 计算机科学 2017-04-25 Jérémie Kreiss , Laurent Bako , Eric Blanco

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

This paper studies quantum-encrypted explicit MPC for constrained discrete-time linear systems in a cloud-based architecture. A finite-horizon quadratic MPC problem is solved offline to obtain a piecewise-affine controller. Shared quantum…

系统与控制 · 电气工程与系统科学 2026-03-25 Yingjie Mi , Zihao Ren , Lei Wang , Daniel E. Quevedo , Guodong Shi

Periodic dynamical systems, distinguished by their repetitive behavior over time, are prevalent across various engineering disciplines. In numerous applications, particularly within industrial contexts, the implementation of model…

系统与控制 · 电气工程与系统科学 2025-05-13 Jose A. Borja-Conde , Juan M. Nadales , Filiberto Fele , Daniel Limon

A finite horizon linear quadratic(LQ) optimal control problem is studied for a class of discrete-time linear fractional systems (LFSs) affected by multiplicative, independent random perturbations. Based on the dynamic programming technique,…

最优化与控制 · 数学 2016-07-01 J. J. Trujillo , V. M. Ungureanu

We propose a nonlinear model predictive control (NMPC) framework based on a direct optimal control method that ensures continuous-time constraint satisfaction and accurate evaluation of the running cost, without compromising computational…

最优化与控制 · 数学 2024-05-02 Samet Uzun , Purnanand Elango , Abhinav G. Kamath , Taewan Kim , Behcet Acikmese

Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal control problems. Since optimization over an infinite time horizon is generally infeasible, MPC determines a suboptimal feedback control by…

最优化与控制 · 数学 2022-10-26 Saskia Dietze , Martin A. Grepl

This article presents a Real-Time Iteration (RTI) scheme for distributed Nonlinear Model Predictive Control (NMPC). The scheme transfers the well-known RTI approach, a key enabler for many industrial real-time NMPC implementations, to the…

最优化与控制 · 数学 2025-10-20 Gösta Stomberg , Alexander Engelmann , Moritz Diehl , Timm Faulwasser

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