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Model predictive control (MPC) is a popular control method that has proved effective for robotics, among other fields. MPC performs re-planning at every time step. Re-planning is done with a limited horizon per computational and real-time…

Robotics · Computer Science 2017-03-22 Aviv Tamar , Garrett Thomas , Tianhao Zhang , Sergey Levine , Pieter Abbeel

In this paper, we present a robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Johannes Köhler , Elisa Andina , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

This work addresses the problem of risk-sensitive control for nonlinear systems with imperfect state observations, extending results for the linear case. In particular, we derive an algorithm that can compute local solutions with…

Optimization and Control · Mathematics 2021-10-22 Bilal Hammoud , Armand Jordana , Ludovic Righetti

A Learning Model Predictive Controller (LMPC) is presented and tailored to platooning and Connected Autonomous Vehicles (CAVs) applications. The proposed controller builds on previous work on nonlinear LMPC, adapting its architecture and…

Optimization and Control · Mathematics 2019-08-09 Hassan Jafarzadeh , Cody Fleming

Learning from data of past tasks can substantially improve the accuracy of mechatronic systems. Often, for fast and safe learning a model of the system is required. The aim of this paper is to develop a model-free approach for fast and safe…

Systems and Control · Electrical Eng. & Systems 2020-07-06 Maurice Poot , Jim Portegies , Tom Oomen

We consider the problem of robust and adaptive model predictive control (MPC) of a linear system, with unknown parameters that are learned along the way (adaptive), in a critical setting where failures must be prevented (robust). This…

Machine Learning · Computer Science 2020-10-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

A centralized model predictive controller (MPC), which is unaware of local uncertainties, for an affine discrete time nonlinear system is presented. The local uncertainties are assumed to be matched, bounded and structured. In order to…

Optimization and Control · Mathematics 2020-09-15 Prabhat K. Mishra , Tixian Wang , Mattia Gazzola , Girish Chowdhary

In the interaction between control and mathematics, mathematical tools are fundamental for all the control methods, but it is unclear how control impacts mathematics. This is the first part of our paper that attempts to give an answer with…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Deyuan Meng , Yuxin Wu

We propose an adaptive Model Predictive Safety Certification (MPSC) scheme for learning-based control of linear systems with bounded disturbances and uncertain parameters where the true parameters are contained within an a priori known set…

Systems and Control · Electrical Eng. & Systems 2021-09-30 Alexandre Didier , Kim P. Wabersich , Melanie N. Zeilinger

An iterative learning algorithm is presented for continuous-time linear-quadratic optimal control problems where the system is externally symmetric with unknown dynamics. Both finite-horizon and infinite-horizon problems are considered. It…

Optimization and Control · Mathematics 2025-10-10 Hamed Taghavian , Florian Dorfler , Mikael Johansson

This work presents a novel Learning Model Predictive Control (LMPC) strategy for autonomous racing at the handling limit that can iteratively explore and learn unknown dynamics in high-speed operational domains. We start from existing LMPC…

Robotics · Computer Science 2024-08-22 Haoru Xue , Edward L. Zhu , John M. Dolan , Francesco Borrelli

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

Model-free Reinforcement Learning (RL) works well when experience can be collected cheaply and model-based RL is effective when system dynamics can be modeled accurately. However, both assumptions can be violated in real world problems such…

Machine Learning · Computer Science 2020-05-07 Mohak Bhardwaj , Ankur Handa , Dieter Fox , Byron Boots

Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees…

Optimization and Control · Mathematics 2015-08-27 Sei Zhen Khong , Corentin Briat , Anders Rantzer

Generally, the classic iterative learning control (ILC) methods focus on finding design conditions for repetitive systems to achieve the perfect tracking of any specified trajectory, whereas they ignore a fundamental problem of ILC: whether…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Deyuan Meng , Jingyao Zhang

Inverse reinforcement learning (IRL) for linear systems seeks a cost function whose optimal controller reproduces an expert policy from data. Existing data-driven methods for discrete-time linear systems are largely built on iterative…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Duc Cuong Nguyen , Phuong Nam Dao

We address the challenge of learning safe and robust decision policies in presence of uncertainty in context of the real scientific problem of adaptive resource oversubscription to enhance resource efficiency while ensuring safety against…

Machine Learning · Computer Science 2024-01-17 Lu Wang , Mayukh Das , Fangkai Yang , Chao Duo , Bo Qiao , Hang Dong , Si Qin , Chetan Bansal , Qingwei Lin , Saravan Rajmohan , Dongmei Zhang , Qi Zhang

Proximity operations of rigid bodies, such as spacecraft rendezvous and docking, require precise tracking of both position and attitude over finite time intervals. These operations are often repeated under uncertain conditions, with unknown…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Fan Zhang , Deyuan Meng , Ying Tan

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