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This paper presents a deep learning based model predictive control (MPC) algorithm for systems with unmatched and bounded state-action dependent uncertainties of unknown structure. We utilize a deep neural network (DNN) as an oracle in the…

机器学习 · 计算机科学 2023-04-25 Mateus V. Gasparino , Prabhat K. Mishra , Girish Chowdhary

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

系统与控制 · 电气工程与系统科学 2024-02-21 Daniel D. Leister , Justin P. Koeln

This paper presents a novel Learning-based Model Predictive Contouring Control (L-MPCC) algorithm for evasive manoeuvres at the limit of handling. The algorithm uses the Student-t Process (STP) to minimise model mismatches and uncertainties…

机器人学 · 计算机科学 2024-08-09 Alberto Bertipaglia , Mohsen Alirezaei , Riender Happee , Barys Shyrokau

In online learning an algorithm plays against an environment with losses possibly picked by an adversary at each round. The generality of this framework includes problems that are not adversarial, for example offline optimization, or saddle…

机器学习 · 计算机科学 2021-02-04 Ryan D'Orazio , Ruitong Huang

We apply a recently proposed method for the acceleration of model predictive control (MPC) to 36 MPC implementations, which result from combining six sample receding horizon control problems with six quadratic programming solvers. We…

最优化与控制 · 数学 2015-05-27 Michael Jost , Gabriele Pannocchia , Martin Mönnigmann

Model Predictive Control (MPC) offers rigorous safety and performance guarantees but is computationally intensive. Approximate MPC (AMPC) aims to circumvent this drawback by learning a computationally cheaper surrogate policy. Common…

系统与控制 · 电气工程与系统科学 2025-11-19 Elias Milios , Kim P. Wabersich , Felix Berkel , Felix Gruber , Melanie N. Zeilinger

Pseudo-arclength continuation is a well-established method for generating a numerical curve approximating the solution of an underdetermined system of nonlinear equations. It is an inherently sequential predictor-corrector method in which…

数值分析 · 数学 2013-12-13 Dhavide Aruliah , Lennaert van Veen , Alex Dubitski

In this paper, we study the problem of online tracking in linear control systems, where the objective is to follow a moving target. Unlike classical tracking control, the target is unknown, non-stationary, and its state is revealed…

系统与控制 · 电气工程与系统科学 2024-06-14 Anastasios Tsiamis , Aren Karapetyan , Yueshan Li , Efe C. Balta , John Lygeros

Sampling-based model predictive control (MPC) has the potential for use in a wide variety of robotic systems. However, its unstable updates and poor convergence render it unsuitable for real-time control of robotic systems. This study…

机器人学 · 计算机科学 2026-01-08 Taisuke Kobayashi , Kota Fukumoto

In this paper, we develop a unified framework for analyzing the tracking error and dynamic regret of inexact online optimization methods under a variety of settings. Specifically, we leverage the quadratic constraint approach from control…

最优化与控制 · 数学 2023-03-03 Usman Syed , Emiliano Dall'Anese , Bin Hu

Model Predictive Control (MPC) is a classic tool for optimal control of complex, real-world systems. Although it has been successfully applied to a wide range of challenging tasks in robotics, it is fundamentally limited by the prediction…

机器人学 · 计算机科学 2021-04-08 Nathan Hatch , Byron Boots

We introduce a framework to accelerate the convergence of gradient-based methods with online learning. The framework learns to scale the gradient at each iteration through an online learning algorithm and provably accelerates gradient-based…

最优化与控制 · 数学 2024-11-07 Wenzhi Gao , Ya-Chi Chu , Yinyu Ye , Madeleine Udell

Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

最优化与控制 · 数学 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

Model predictive control (MPC) is a popular strategy for urban traffic management that is able to incorporate physical and user defined constraints. However, the current MPC methods rely on finite horizon predictions that are unable to…

系统与控制 · 计算机科学 2016-02-03 Sadra Sadraddini , Calin Belta

In this paper, we propose new proximal Newton-type methods for convex optimization problems in composite form. The applications include model predictive control (MPC) and embedded MPC. Our new methods are computationally attractive since…

最优化与控制 · 数学 2020-07-21 Ilan Adler , Zhiyue Tom Hu , Tianyi Lin

In the framework of Model Predictive Control (MPC), the control input is typically computed by solving optimization problems repeatedly online. For general nonlinear systems, the online optimization problems are non-convex and…

最优化与控制 · 数学 2021-03-31 Zheming Wang , Raphaël M. Jungers

We study finite-horizon budget allocation as a closed-loop economic control problem and evaluate receding-horizon Model Predictive Control (MPC) relative to reactive budgeting policies. Budgets are allocated periodically under execution…

系统与控制 · 电气工程与系统科学 2026-05-01 Nilavra Pathak , Smriti Shyamal , Prasant Mhasker , Christopher Swartz

We study the problem of online non-stochastic control (ONC), which is the control of a linear system under adversarial disturbances and adversarial cost functions, with the aim of minimizing the total cost incurred. A recent line of…

最优化与控制 · 数学 2026-04-21 Vijeth Hebbar , Spencer Hutchinson , Mahnoosh Alizadeh , Cédric Langbort

We present a numerical method for convergence acceleration for multifidelity models of parameterized ordinary differential equations. The hierarchy of models is defined as trajectories computed using different timesteps in a time…

数值分析 · 数学 2018-08-13 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

A novel Follow-the-Perturbed-Leader type algorithm is proposed and analyzed for solving general long-term constrained optimization problems in an online manner, where the target and constraint functions are oblivious adversarially generated…

最优化与控制 · 数学 2025-10-02 Shijie Pan , Jianyu Xu , Wenjie Huang