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Nonlinear Model Predictive Control (NMPC) is widely used for controlling high-speed robotic systems such as quadrotors. However, its significant computational demands often hinder real-time feasibility and reliability, particularly in…

系统与控制 · 电气工程与系统科学 2025-09-30 Saber Omidi

Nonlinear model predictive control (NMPC) has gained widespread use in many applications. Its formulation traditionally involves repetitively solving a nonlinear constrained optimization problem online. In this paper, we investigate NMPC…

系统与控制 · 电气工程与系统科学 2022-05-11 Iman Askari , Shen Zeng , Huazhen Fang

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

In recent years, efficient optimization algorithms for Nonlinear Model Predictive Control (NMPC) have been proposed, that significantly reduce the on-line computational time. In particular, direct multiple shooting and Sequential Quadratic…

系统与控制 · 计算机科学 2018-11-22 Yutao Chen , Mattia Bruschetta , Davide Cuccato , Alessandro Beghi

This paper presents a robust and kernelized data-enabled predictive control (RoKDeePC) algorithm to perform model-free optimal control for nonlinear systems using only input and output data. The algorithm combines robust predictive control…

系统与控制 · 电气工程与系统科学 2022-06-07 Linbin Huang , John Lygeros , Florian Dörfler

Nonlinear model predictive control (NMPC) is one of the few control methods that can handle multivariable nonlinear controlsystems with constraints. Gaussian processes (GPs) present a powerful tool to identify the required plant model and…

最优化与控制 · 数学 2020-05-26 E. Bradford , L. Imsland , D. Zhang , E. A. del Rio-Chanona

Nonlinear model predictive control (MPC) is a flexible and increasingly popular framework used to synthesize feedback control strategies that can satisfy both state and control input constraints. In this framework, an optimization problem,…

系统与控制 · 电气工程与系统科学 2023-05-17 Kong Yao Chee , M. Ani Hsieh , Nikolai Matni

This paper considers the problem of data-driven robust control design for nonlinear systems, for instance, obtained when discretizing nonlinear partial differential equations (PDEs). A robust learning control approach is developed for…

最优化与控制 · 数学 2025-09-01 Anant A. Joshi , Saviz Mowlavi , Mouhacine Benosman

A novel decomposition scheme to solve parametric non-convex programs as they arise in Nonlinear Model Predictive Control (NMPC) is presented. It consists of a fixed number of alternating proximal gradient steps and a dual update per time…

最优化与控制 · 数学 2014-12-25 Jean-Hubert Hours , Colin N. Jones

This paper proposes Select-Data-driven Predictive Control (Select-DPC), a new method for controlling nonlinear systems using output-feedback for which data are available but an explicit model is not. At each timestep, Select-DPC employs…

系统与控制 · 电气工程与系统科学 2025-05-23 Joshua Näf , Keith Moffat , Jaap Eising , Florian Dörfler

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

We compare the performance of proportional-integral-derivative (PID) control, linear model predictive control (LMPC), and nonlinear model predictive control (NMPC) for a physical setup of the quadruple tank system (QTS). We estimate the…

系统与控制 · 电气工程与系统科学 2022-12-12 Anders H. D. Andersen , Tobias K. S. Ritschel , Steen Hørsholt , Jakob Kjøbsted Huusom , John Bagterp Jørgensen

Approaches for stochastic nonlinear model predictive control (SNMPC) typically make restrictive assumptions about the system dynamics and rely on approximations to characterize the evolution of the underlying uncertainty distributions. For…

机器人学 · 计算机科学 2023-09-14 Adam Polevoy , Marin Kobilarov , Joseph Moore

A nonlinear MPC framework is presented that is suitable for dynamical systems with sampling times in the (sub)millisecond range and that allows for an efficient implementation on embedded hardware. The algorithm is based on an augmented…

最优化与控制 · 数学 2018-12-10 Tobias Englert , Andreas Völz , Felix Mesmer , Sönke Rhein , Knut Graichen

Differentiable optimal control, particularly differentiable nonlinear model predictive control (NMPC), provides a powerful framework that enjoys the complementary benefits of machine learning and control theory. A key enabler of…

系统与控制 · 电气工程与系统科学 2026-05-12 Yuankun Chen , Zifei Nie , Xun Gong , Yunfeng Hu , Hong Chen

Data-enabled predictive control (DeePC) for linear systems utilizes data matrices of recorded trajectories to directly predict new system trajectories, which is very appealing for real-life applications. In this paper we leverage the…

最优化与控制 · 数学 2024-12-20 Mircea Lazar

This paper presents a Model-Inspired Distributionally Robust Data-enabled Predictive Control (MDR-DeePC) framework for systems with partially known and uncertain dynamics. The proposed method integrates model-based equality constraints for…

系统与控制 · 电气工程与系统科学 2025-07-01 Shihao Li , Jiachen Li , Christopher Martin , Soovadeep Bakshi , Dongmei Chen

We present differentiable predictive control (DPC), a method for learning constrained neural control policies for linear systems with probabilistic performance guarantees. We employ automatic differentiation to obtain direct policy…

系统与控制 · 电气工程与系统科学 2022-01-28 Jan Drgona , Aaron Tuor , Draguna Vrabie

We present PANOC, a new algorithm for solving optimal control problems arising in nonlinear model predictive control (NMPC). A usual approach to this type of problems is sequential quadratic programming (SQP), which requires the solution of…

最优化与控制 · 数学 2017-09-20 Lorenzo Stella , Andreas Themelis , Pantelis Sopasakis , Panagiotis Patrinos

We present a versatile nonlinear model predictive control (NMPC) formulation for quadrupedal locomotion. Our formulation jointly optimizes a base trajectory and a set of footholds over a finite time horizon based on simplified dynamics…

机器人学 · 计算机科学 2022-07-22 Dongho Kang , Flavio De Vincenti , Stelian Coros