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One major issue in learning-based model predictive control (MPC) for autonomous driving is the contradiction between the system model's prediction accuracy and computation efficiency. The more situations a system model covers, the more…

Robotics · Computer Science 2023-04-11 Kang Zhao , Jianru Xue , Xiangning Meng , Gengxin Li , Mengsen Wu

Nonlinear dynamics and safety constraints typically result in a nonlinear programming problem when applying model predictive control to achieve safe output consensus. To avoid the heavy computational burden of solving a nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Chao Wang , Shuyuan Zhang , Lei Wang

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…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Anders H. D. Andersen , Tobias K. S. Ritschel , Steen Hørsholt , Jakob Kjøbsted Huusom , John Bagterp Jørgensen

A computationally efficient nonlinear Model Predictive Control (NMPC) algorithm is proposed for safe learning-based control with a system model represented by an incompletely known affine combination of basis functions and subject to…

Optimization and Control · Mathematics 2025-03-19 Johannes Buerger , Mark Cannon

This paper addresses autonomous racing by introducing a real-time nonlinear model predictive controller (NMPC) coupled with a moving horizon estimator (MHE). The racing problem is solved by an NMPC-based off-line trajectory planner that…

Optimization and Control · Mathematics 2025-10-08 Yassine Kebbati , Andreas Rauh , Naima Ait-Oufroukh , Dalil Ichalal , Vincent Vigneron

In this paper, we leverage the rapid advances in imitation learning, a topic of intense recent focus in the Reinforcement Learning (RL) literature, to develop new sample complexity results and performance guarantees for data-driven Model…

Optimization and Control · Mathematics 2022-10-18 Kwangjun Ahn , Zakaria Mhammedi , Horia Mania , Zhang-Wei Hong , Ali Jadbabaie

MPC (Model Predictive Control) techniques, with constraints, are applied to a nonlinear vehicle model for the development of an ACC (Adaptive Cruise Control) system for transitional manoeuvres. The dynamic model of the vehicle is developed…

Systems and Control · Computer Science 2016-04-05 Zeeshan Ali Memon , Mukhtiar Ali Unar , Dur Muhammad Pathan

Machine learning (ML) and a nonlinear model predictive controller (NMPC) are used in this paper to minimize the emissions and fuel consumption of a compression ignition engine. In this work machine learning is applied in two methods. In the…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Armin Norouzi , Saeid Shahpouri , David Gordon , Alexander Winkler , Eugen Nuss , Dirk Abel , Jakob Andert , Mahdi Shahbakhti , Charles Robert Koch

Output regulation is the problem of finding a control input to asymptotically track reference trajectories and reject disturbances. This can be addressed by using the internal model principle to embed a model of the disturbance in the…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Felix Brändle , Frank Allgöwer

Model Predictive Control (MPC) is an enabling technology in applications requiring controlling physical processes in an optimized way under constraints on inputs and outputs. However, in MPC closed-loop performance is pushed to the limits…

Optimization and Control · Mathematics 2019-05-06 Dario Piga , Marco Forgione , Simone Formentin , Alberto Bemporad

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

Systems and Control · Computer Science 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer

We propose a model predictive control (MPC) scheme with sampled-data input which ensures output-reference tracking within prescribed error bounds for relative-degree-one systems. Hereby, we explicitly deduce bounds on the required maximal…

Optimization and Control · Mathematics 2024-03-28 Dario Dennstädt , Lukas Lanza , Karl Worthmann

Suboptimal model predictive control is a technique that can reduce the computational cost of model predictive control (MPC) by exploiting its robustness to incomplete optimization. Instead of solving the optimal control problem exactly,…

Systems and Control · Computer Science 2019-05-08 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

Robotics · Computer Science 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We establish stability of the local linear system and derive…

Optimization and Control · Mathematics 2025-07-24 Luke S. Baker , Sachin Shivakumar , Dieter Armbruster , Rodrigo B. Platte , Anatoly Zlotnik

In this paper, a safe and learning-based control framework for model predictive control (MPC) is proposed to optimize nonlinear systems with a non-differentiable objective function under uncertain environmental disturbances. The control…

Robotics · Computer Science 2022-02-22 Lei Zheng , Rui Yang , Zhixuan Wu , Jiesen Pan , Hui Cheng

We present a chance-constrained model predictive control (MPC) framework under Gaussian mixture model (GMM) uncertainty. Specifically, we consider the uncertainty that arises from predicting future behaviors of moving obstacles, which may…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Kai Ren , Colin Chen , Hyeontae Sung , Heejin Ahn , Ian Mitchell , Maryam Kamgarpour

In this brief, a model-free adaptive predictive control (MFAPC) is proposed. It outperforms the current model-free adaptive control (MFAC) for not only solving the time delay problem in multiple-input multiple-output (MIMO) systems but also…

Systems and Control · Electrical Eng. & Systems 2023-11-17 Feilong Zhang

In this paper, a self-triggered adaptive model predictive control (MPC) algorithm is proposed for constrained discrete-time nonlinear systems subject to parametric uncertainties and additive disturbances. To bound the parametric…

Optimization and Control · Mathematics 2019-12-17 Kunwu Zhang , Changxin Liu , Yang Shi

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

Optimization and Control · Mathematics 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger