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This paper presents a novel Nonlinear Model Predictive Control (NMPC) scheme for underwater robotic vehicles operating in a constrained workspace including static obstacles. The purpose of the controller is to guide the vehicle towards…

In this paper, we present a novel solution for real-time, Non-Linear Model Predictive Control (NMPC) exploiting a time-mesh refinement strategy. The proposed controller formulates the Optimal Control Problem (OCP) in terms of flat outputs…

Robotics · Computer Science 2018-06-15 Ciro Potena , Bartolomeo Della Corte , Daniele Nardi , Giorgio Grisetti , Alberto Pretto

Learning-based model predictive control (MPC) is an approach designed to reduce the computational cost of MPC. In this paper, a constrained deep neural network (DNN) design is proposed to learn MPC policy for nonlinear systems. Using…

Systems and Control · Electrical Eng. & Systems 2023-03-30 Farshid Asadi

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

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…

Optimization and Control · Mathematics 2014-12-25 Jean-Hubert Hours , Colin N. Jones

This paper presents a stochastic model predictive controller (SMPC) for linear time-invariant systems in the presence of additive disturbances. The distribution of the disturbance is unknown and is assumed to have a bounded support. A…

Systems and Control · Electrical Eng. & Systems 2022-10-03 Hotae Lee , Monimoy Bujarbaruah , Francesco Borrelli

We present a model predictive control (MPC) framework for nonlinear stochastic systems that ensures safety guarantee with high probability. Unlike most existing stochastic MPC schemes, our method adopts a set-erosion that converts the…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zishun Liu , Liqian Ma , Yongxin Chen

Model predictive control (MPC) is of increasing interest in applications for constrained control of multivariable systems. However, one of the major obstacles to its broader use is the computation time and effort required to solve a…

Optimization and Control · Mathematics 2019-10-01 Dominic Liao-McPherson , Marco M. Nicotra , Asen L. Dontchev , Ilya V. Kolmanovsky , Vladimir. M. Veliov

Sample-based learning model predictive control (LMPC) strategies have recently attracted attention due to their desirable theoretical properties and their good empirical performance on robotic tasks. However, prior analysis of LMPC…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Brijen Thananjeyan , Ashwin Balakrishna , Ugo Rosolia , Joseph E. Gonzalez , Aaron Ames , Ken Goldberg

Manufacturing processes are often perturbed by drifts in the environment and wear in the system, requiring control re-tuning even in the presence of repetitive operations. This paper presents an iterative learning framework for automatic…

Robotics · Computer Science 2026-01-05 Deepak Ingole , Valentin Bhend , Shiva Ganesh Murali , Oliver Dobrich , Alisa Rupenyan

Model predictive control (MPC) is a de facto standard control algorithm across the process industries. There remain, however, applications where MPC is impractical because an optimization problem is solved at each time step. We present a…

Optimization and Control · Mathematics 2019-07-10 Robert J. Lovelett , Felix Dietrich , Seungjoon Lee , Ioannis G. Kevrekidis

Approximate model-predictive control (AMPC) aims to imitate an MPC's behavior with a neural network, removing the need to solve an expensive optimization problem at runtime. However, during deployment, the parameters of the underlying MPC…

In this paper, we propose a novel approach to Bayesian experimental design for non-exchangeable data that formulates it as risk-sensitive policy optimization. We develop the Inside-Out SMC$^2$ algorithm, a nested sequential Monte Carlo…

Machine Learning · Statistics 2024-05-30 Sahel Iqbal , Adrien Corenflos , Simo Särkkä , Hany Abdulsamad

Cross-entropy method model predictive control (CEM--MPC) is a powerful gradient-free technique for nonlinear optimal control, but its performance is often limited by the reliance on random sampling. This conventional approach can lead to…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Markus Walker , Daniel Frisch , Uwe D. Hanebeck

This paper proposes an off-line algorithm, called Recurrent Model Predictive Control (RMPC), to solve general nonlinear finite-horizon optimal control problems. Unlike traditional Model Predictive Control (MPC) algorithms, it can make full…

Systems and Control · Electrical Eng. & Systems 2021-02-24 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Qi Sun , Bo Cheng

This paper presents a parallel Monte Carlo simulation based performance quantification method for nonlinear model predictive control (NMPC) in closed-loop. The method provides distributions for the controller performance in stochastic…

Systems and Control · Electrical Eng. & Systems 2023-06-22 Morten Wahlgreen Kaysfeld , Mario Zanon , John Bagterp Jørgensen

Neural networks are lately more and more often being used in the context of data-driven control, as an approximate model of the true system dynamics. Model Predictive Control (MPC) adopts this practise leading to neural MPC strategies. This…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Spyridon Syntakas , Kostas Vlachos

Solving nonlinear model predictive control problems in real time is still an important challenge despite of recent advances in computing hardware, optimization algorithms and tailored implementations. This challenge is even greater when…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Benjamin Karg , Teodoro Alamo , Sergio Lucia

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…

Optimization and Control · Mathematics 2017-09-20 Lorenzo Stella , Andreas Themelis , Pantelis Sopasakis , Panagiotis Patrinos

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…

Optimization and Control · Mathematics 2020-11-24 Kunwu Zhang , Yang Shi