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This paper presents a robust adaptive learning Model Predictive Control (MPC) framework for linear systems with parametric uncertainties and additive disturbances performing iterative tasks. The approach refines the parameter estimates…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Hannes Petrenz , Johannes Köhler , Francesco Borrelli

We propose a data-driven tracking model predictive control (MPC) scheme to control unknown discrete-time linear time-invariant systems. The scheme uses a purely data-driven system parametrization to predict future trajectories based on…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Periodic operation often emerges as the economically optimal mode in industrial processes, particularly under varying economic or environmental conditions. This paper proposes a robust model predictive control (MPC) framework for uncertain…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Filippo Badalamenti , Jose A. Borja-Conde , Sampath Kumar Mulagaleti , Boris Houska , Alberto Bemporad , Mario Eduardo Villanueva

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 propose a Model Predictive Control (MPC) for collision avoidance between an autonomous agent and dynamic obstacles with uncertain predictions. The collision avoidance constraints are imposed by enforcing positive distance between convex…

Robotics · Computer Science 2022-08-09 Siddharth H. Nair , Eric H. Tseng , Francesco Borrelli

This paper demonstrates the applicability of the safe model predictive control (SMPC) framework to autonomous driving scenarios, focusing on the design of adaptive cruise control (ACC) and automated lane-change systems. Building on the SMPC…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Francesco Prignoli , Ying Shuai Quan , Mohammad Jeddi , Jonas Sjöberg , Paolo Falcone

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

This paper presents an auto-optimal model predictive control (MPC) framework enhanced with active learning, designed to autonomously track optimal operational conditions in an unknown environment,where the conditions may dynamically adjust…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Yuan Tan , Jun Yang , Zhongguo Li , Wen-Hua Chen , Shihua Li

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

Automated vehicles require efficient and safe planning to maneuver in uncertain environments. Largely this uncertainty is caused by other traffic participants, e.g., surrounding vehicles. Future motion of surrounding vehicles is often…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Tim Brüdigam , Michael Olbrich , Dirk Wollherr , Marion Leibold

To provide robustness of distributed model predictive control (DMPC), this work proposes a robust DMPC formulation for discrete-time linear systems subject to unknown-but-bounded disturbances. Taking advantage of the structure of certain…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Ye Wang , Chris Manzie

Model predictive control (MPC) for uncertain systems in the presence of hard constraints on state and input is a non-trivial problem, and the challenge is increased manyfold in the absence of state measurements. In this paper, we propose an…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Anchita Dey , Abhishek Dhar , Shubhendu Bhasin

Trajectory planning and control have historically been separated into two modules in automated driving stacks. Trajectory planning focuses on higher-level tasks like avoiding obstacles and staying on the road surface, whereas the controller…

Robotics · Computer Science 2022-09-21 Rowan Dempster , Mohammad Al-Sharman , Derek Rayside , William Melek

In this paper, we propose a novel model predictive control (MPC) framework for output tracking that deals with partially unknown constraints. The MPC scheme optimizes over a learning and a backup trajectory. The learning trajectory aims to…

Optimization and Control · Mathematics 2022-05-10 Raffaele Soloperto , Ali Mesbah , Frank Allgöwer

In this paper, a novel tube-based economic Model Predictive Control (MPC) scheme for uncertain systems that uses neither terminal costs nor terminal constraints is investigated. We show that the results from the undisturbed case can be…

Systems and Control · Electrical Eng. & Systems 2020-07-28 Lukas Schwenkel , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This work focuses the tracking control problem for nonlinear systems subjected to unknown external disturbances. Inspired by contraction theory, a neural network-dirven CCM synthesis is adopted to obtain a feedback controller that could…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Ao Jin , Weijian Zhao , Yifeng Ma , Panfeng Huang , Fan Zhang

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

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

This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Samuel G. Gessow , Brett T. Lopez

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

Systems and Control · Electrical Eng. & Systems 2025-09-04 J. Wehbeh , E. C. Kerrigan