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In this paper, we propose a new model predictive control (MPC) formulation for autonomous driving. The novelty of our MPC stems from the following results. Firstly, we adopt an alternating minimization approach wherein linear velocities and…

We present the Alternating Direction Method of Multipliers for Performance Boosting (ADMM-PB), an approach to design performance boosting controllers for stable or pre-stabilized nonlinear systems, while explicitly seeking input and state…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Gianluca Giacomelli , Danilo Saccani , Siep Weiland , Giancarlo Ferrari-Trecate , Valentina Breschi

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…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith

Model Predictive Control (MPC) is a successful control methodology, which is applied to increasingly complex systems. However, real-time feasibility of MPC can be challenging for complex systems, certainly when an (extremely) large number…

Systems and Control · Electrical Eng. & Systems 2024-10-25 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

Model predictive control (MPC) for tracking is a recently introduced approach, which extends standard MPC formulations by incorporating an artificial reference as an additional optimization variable, in order to track external and…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Nadine Ehmann , Matthias Köhler , Frank Allgöwer

The alternating direction method of multipliers (ADMM) has gained increasing popularity in embedded model predictive control (MPC) due to its code simplicity and pain-free parameter selection. However, existing ADMM solvers either target…

Optimization and Control · Mathematics 2026-05-22 Liang Wu , Bo Yang , Junheng Li , Xu Yang , Yilin Mo , Yang Shi , Aaron D. Ames , Ján Drgoňa

Despite the success of model predictive control (MPC), its application to high-dimensional systems, such as flexible structures and coupled fluid/rigid-body systems, remains a largely open challenge due to excessive computational…

Systems and Control · Computer Science 2019-05-03 Joseph Lorenzetti , Benoit Landry , Sumeet Singh , Marco Pavone

Model predictive control (MPC) provides a useful means for controlling systems with constraints, but suffers from the computational burden of repeatedly solving an optimization problem in real time. Offline (explicit) solutions for MPC…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Daniel Tabas , Baosen Zhang

We provide a method to design adaptive controllers for nonlinear systems using model predictive control (MPC). By combining a certainty-equivalent MPC formulation with least-mean-square parameter adaptation, we obtain an adaptive controller…

Optimization and Control · Mathematics 2026-03-19 Johannes Köhler

Industrial embedded systems are typically used to execute simple control algorithms due to their low computational resources. Despite these limitations, the implementation of advanced control techniques such as Model Predictive Control…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Victor Gracia , Pablo Krupa , Filiberto Fele , Teodoro Alamo

This paper presents a trajectory planning method for articulated commercial vehicles, specifically tractor-semitrailers, based on Model Predictive Contouring Control (MPCC). Although MPCC has proven effective for passenger cars, it is…

Model Predictive Control (MPC) is a method to control nonlinear systems with guaranteed stability and constraint satisfaction but suffers from high computation times. Approximate MPC (AMPC) with neural networks (NNs) has emerged to address…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Henrik Hose , Alexander Gräfe , Sebastian Trimpe

Harmonic model predictive control (HMPC) is a model predictive control (MPC) formulation which displays several benefits over other MPC formulations, especially when using a small prediction horizon. These benefits, however, come at the…

Optimization and Control · Mathematics 2022-11-16 Pablo Krupa , Daniel Limon , Alberto Bemporad , Teodoro Alamo

This paper proposes a novel tube-based Model Predictive Control (MPC) framework for tracking varying setpoint references with linear systems subject to additive and multiplicative uncertainties. The MPC controllers designed using this…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Filippo Badalamenti , Sampath Kumar Mulagaleti , Alberto Bemporad , Boris Houska , Mario Eduardo Villanueva

This work presents a new method for online selection of multiple penalty parameters for the alternating direction method of multipliers (ADMM) algorithm applied to optimization problems with multiple constraints or functionals with block…

Image and Video Processing · Electrical Eng. & Systems 2026-04-21 Luke Lozenski , Michael T. McCann , Brendt Wohlberg

Autonomous vehicles are the upcoming solution to most transportation problems such as safety, comfort and efficiency. The steering control is one of the main important tasks in achieving autonomous driving. Model predictive control (MPC) is…

Optimization and Control · Mathematics 2025-09-23 Yassine Kebbati , Vicenç Puig , Naima Ait-Oufroukh , Vincent Vigneron , Dalil Ichalal

This paper investigates non-myopic path planning of mobile sensors for multi-target tracking. Such problem has posed a high computational complexity issue and/or the necessity of high-level decision making. Existing works tackle these…

Robotics · Computer Science 2019-11-15 Soon-Seo Park , Youngjae Min , Jung-Su Ha , Doo-Hyun Cho , Han-Lim Choi

This paper proposes a fully decentralized model predictive control (MPC) framework with control barrier function (CBF) constraints for safety-critical trajectory planning in multi-robot legged systems. The incorporation of CBF constraints…

Model Predictive Control (MPC) offers a versatile framework for constraint handling and multi-objective optimisation, yet practical application faces challenges regarding initial and recursive feasibility, robustness against model…

Optimization and Control · Mathematics 2026-02-27 Dario Dennstädt

This paper presents a novel robust predictive controller for constrained nonlinear systems that is able to track piece-wise constant setpoint signals. The tracking model predictive controller presented in this paper extends the nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca