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We present a Model Predictive Control (MPC) strategy for unknown input-affine nonlinear dynamical systems. A non-parametric method is used to estimate the nonlinear dynamics from observed data. The estimated nonlinear dynamics are then…

Systems and Control · Electrical Eng. & Systems 2020-10-12 Dimitris Papadimitriou , Ugo Rosolia , Francesco Borrelli

Bioprocesses are often characterised by nonlinear and uncertain dynamics, posing particular challenges for model predictive control (MPC) algorithms due to their computational demands when applied to nonlinear systems. Recent advances in…

Optimization and Control · Mathematics 2025-02-05 Niels Krausch , Martin Doff-Sotta , Mark Cannon , Peter Neubauer , Mariano Nicolas Cruz Bournazou

Many problems in machine learning and other fields can be (re)for-mulated as linearly constrained separable convex programs. In most of the cases, there are multiple blocks of variables. However, the traditional alternating direction method…

Numerical Analysis · Computer Science 2014-05-30 Zhouchen Lin , Risheng Liu , Huan Li

The alternating direction method of multipliers (ADMM) is a popular approach for solving optimization problems that are potentially non-smooth and with hard constraints. It has been applied to various computer graphics applications,…

Graphics · Computer Science 2019-09-04 Juyong Zhang , Yue Peng , Wenqing Ouyang , Bailin Deng

In this paper, we consider nonconvex optimization problems with nonsmooth nonconvex objective function and nonlinear equality constraints. We assume that both the objective function and the functional constraints can be separated into 2…

Optimization and Control · Mathematics 2025-03-04 Lahcen El Bourkhissi , Ion Necoara

Model predictive control (MPC) of hybrid dynamical systems is challenging because the associated optimization problem is nonsmooth and the resulting feedback law is discontinuous. This paper develops real-time MPC algorithms for nonlinear…

Optimization and Control · Mathematics 2026-04-21 Armin Nurkanović , Anton Pozharskiy , Moritz Diehl

Model Predictive Control (MPC) has become a popular framework in embedded control for high-performance autonomous systems. However, to achieve good control performance using MPC, an accurate dynamics model is key. To maintain real-time…

Robotics · Computer Science 2023-07-26 Tim Salzmann , Elia Kaufmann , Jon Arrizabalaga , Marco Pavone , Davide Scaramuzza , Markus Ryll

A multirate nonlinear model predictive control (NMPC) strategy is proposed for systems with dynamics and control inputs evolving on different timescales. The proposed multirate formulation of the system model and receding horizon optimal…

Optimization and Control · Mathematics 2022-07-05 Yana Lishkova , Mark Cannon , Sina Ober-Blöbaum

Active debris removal (ADR) missions have garnered significant interest as means of mitigating collision risks in space. This work proposes a convex optimization-based model predictive control (MPC) approach to provide guidance for such…

Optimization and Control · Mathematics 2023-08-21 Minduli Wijayatunga , Roberto Armellin , Harry Holt , Laura Pirovano , Claudio Bombardelli

In this paper we present a model predictive control (MPC) approach to optimize vehicle scheduling and routing in an autonomous mobility-on-demand (AMoD) system. In AMoD systems, robotic, self-driving vehicles transport customers within an…

Systems and Control · Computer Science 2017-08-15 Rick Zhang , Federico Rossi , Marco Pavone

Decentralized conflict resolution for autonomous vehicles is needed in many places where a centralized method is not feasible, e.g., parking lots, rural roads, merge lanes, etc. However, existing methods generally do not fully utilize…

Systems and Control · Electrical Eng. & Systems 2022-01-11 Jerry An , Giulia Giordano , Changliu Liu

This paper is about a parallel algorithm for tube-based model predictive control. The proposed control algorithm solves robust model predictive control problems suboptimally, while exploiting their structure. This is achieved by…

Optimization and Control · Mathematics 2019-10-09 Kai Wang , Yuning Jiang , Juraj Oravec , Mario E. Villanueva , Boris Houska

In this paper we propose a corrected semi-proximal ADMM (alternating direction method of multipliers) for the general $p$-block $(p\!\ge 3)$ convex optimization problems with linear constraints, aiming to resolve the dilemma that almost all…

Optimization and Control · Mathematics 2015-02-12 Li Shen , Shaohua Pan

Motion Cueing Algorithms (MCAs) encode the movement of simulated vehicles into movement that can be reproduced with a motion simulator to provide a realistic driving experience within the capabilities of the machine. This paper introduces a…

Robotics · Computer Science 2025-04-11 Camilo Gonzalez Arango , Houshyar Asadi , Mohammad Reza Chalak Qazani , Chee Peng Lim

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

Optimization and Control · Mathematics 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

Model Predictive Control (MPC) has proven to be a powerful tool for the control of systems with constraints. Nonetheless, in many applications, a major challenge arises, that is finding the optimal solution within a single sampling instant…

Systems and Control · Electrical Eng. & Systems 2023-08-16 Valentina Breschi , Simone Formentin , Alberto Leva

The alternating direction method of multipliers (ADMM) is a widely used method for solving many convex minimization models arising in signal and image processing. In this paper, we propose an inertial ADMM for solving a two-block separable…

Optimization and Control · Mathematics 2021-04-02 Yang Yang , Yuchao Tang

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…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Tzu-Yuan Huang , Armin Lederer , Nicolas Hoischen , Jan Brüdigam , Xuehua Xiao , Stefan Sosnowski , Sandra Hirche

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

Optimization and Control · Mathematics 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu