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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

In the realm of control systems, model predictive control (MPC) has exhibited remarkable potential; however, its reliance on accurate models and substantial computational resources has hindered its broader application, especially within…

系统与控制 · 电气工程与系统科学 2025-04-14 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu

Piecewise regression is a versatile approach used in various disciplines to approximate complex functions from limited, potentially noisy data points. In control, piecewise regression is, e.g., used to approximate the optimal control law of…

最优化与控制 · 数学 2024-07-10 Dieter Teichrib , Moritz Schulze Darup

Model predictive control (MPC) is a powerful technique for solving dynamic control tasks. In this paper, we show that there exists a close connection between MPC and online learning, an abstract theoretical framework for analyzing online…

机器人学 · 计算机科学 2019-10-10 Nolan Wagener , Ching-An Cheng , Jacob Sacks , Byron Boots

We propose a piecewise learning framework for controlling nonlinear systems with unknown dynamics. While model-based reinforcement learning techniques in terms of some basis functions are well known in the literature, when it comes to more…

最优化与控制 · 数学 2022-04-06 Milad Farsi , Yinan Li , Ye Yuan , Jun Liu

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

系统与控制 · 电气工程与系统科学 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith

This paper investigates the problem of robust model predictive control (RMPC) of linear-time-invariant (LTI) discrete-time systems subject to structured uncertainty and bounded disturbances. Typically, the constrained RMPC problem with…

系统与控制 · 电气工程与系统科学 2022-08-18 Anastasis Georgiou , Furqan Tahir , Imad M. Jaimoukha , Simos A. Evangelou

Model Predictive Control (MPC) is a powerful strategy for constrained multivariable systems but faces computational challenges in real-time deployment due to its online optimization requirements. While explicit MPC and neural network…

最优化与控制 · 数学 2025-12-18 Jiayang Ren , Qiangqiang Mao , Tianwei Zhao , Yankai Cao

Model predictive control is a prominent approach to construct a feedback control loop for dynamical systems. Due to real-time constraints, the major challenge in MPC is to solve model-based optimal control problems in a very short amount of…

最优化与控制 · 数学 2020-12-15 Sina Ober-Blöbaum , Sebastian Peitz

Sampling-based Model Predictive Control (MPC) is a flexible control framework that can reason about non-smooth dynamics and cost functions. Recently, significant work has focused on the use of machine learning to improve the performance of…

机器人学 · 计算机科学 2022-12-07 Jacob Sacks , Byron Boots

Approximate dynamic programming (ADP) faces challenges in dealing with constraints in control problems. Model predictive control (MPC) is, in comparison, well-known for its accommodation of constraints and stability guarantees, although its…

系统与控制 · 电气工程与系统科学 2023-04-10 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

We propose a computationally efficient Learning Model Predictive Control (LMPC) scheme for constrained optimal control of a class of nonlinear systems where the state and input can be reconstructed using lifted outputs. For the considered…

最优化与控制 · 数学 2021-01-19 Siddharth H. Nair , Ugo Rosolia , Francesco Borrelli

Achieving global optimality in nonlinear model predictive control (NMPC) is challenging due to the non-convex nature of the underlying optimization problem. Since commonly employed local optimization techniques depend on carefully chosen…

系统与控制 · 电气工程与系统科学 2025-06-19 Tzu-Yuan Huang , Armin Lederer , Nicolas Hoischen , Jan Brüdigam , Xuehua Xiao , Stefan Sosnowski , Sandra Hirche

Piecewise affine (PWA) systems are widely applied in many practical cases such as the control of nonlinear systems and hybrid dynamics. However, most of the existing PWA control methods have poor scalability with respect to the number of…

系统与控制 · 电气工程与系统科学 2022-03-07 Zihao Song , Vince Kurtz , Shirantha Welikala , Panos J. Antsaklis , Hai Lin

For discrete-time linear systems subject to parametric uncertainty described by random variables, we develop a sampling-based Stochastic Model Predictive Control algorithm. Unlike earlier results employing a scenario approximation, we…

系统与控制 · 计算机科学 2016-06-21 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

We develop a novel form of differentiable predictive control (DPC) with safety and robustness guarantees based on control barrier functions. DPC is an unsupervised learning-based method for obtaining approximate solutions to explicit model…

系统与控制 · 电气工程与系统科学 2022-08-05 Wenceslao Shaw Cortez , Jan Drgona , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

In this work, we consider the task of improving the accuracy of dynamic models for model predictive control (MPC) in an online setting. Although prediction models can be learned and applied to model-based controllers, these models are often…

机器人学 · 计算机科学 2022-11-29 Tom Z. Jiahao , Kong Yao Chee , M. Ani Hsieh

A dual adaptive model predictive control (MPC) algorithm is presented for linear, time-invariant systems subject to bounded disturbances and parametric uncertainty in the state-space matrices. Online set-membership identification is…

系统与控制 · 电气工程与系统科学 2021-02-23 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

This work proposes an approach that integrates reinforcement learning and model predictive control (MPC) to solve finite-horizon optimal control problems in mixed-logical dynamical systems efficiently. Optimization-based control of such…

系统与控制 · 电气工程与系统科学 2025-04-15 Caio Fabio Oliveira da Silva , Azita Dabiri , Bart De Schutter

We propose a novel adaptive learning-based model predictive control (MPC) scheme for interconnected systems which can be decomposed into several smaller dynamically coupled subsystems with uncertain coupling. The proposed scheme is mainly…

系统与控制 · 电气工程与系统科学 2024-04-26 Ahmed Aboudonia , John Lygeros