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For data-driven iterative learning control (ILC) methods, both the model estimation and controller design problems are converted to parameter estimation problems for some chosen model structures. It is well-known that if the model order is…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Xian Yu , Xiaozhu Fang , Biqiang Mu , Tianshi Chen

Iterative Learning Control (ILC) enables high control performance through learning from measured data, using only limited model knowledge in the form of a nominal parametric model. Robust stability requires robustness to modeling errors,…

Systems and Control · Computer Science 2020-03-30 Lennart Blanken , Tom Oomen

The transformer architecture, which processes sequences of input tokens to produce outputs for query tokens, has revolutionized numerous areas of machine learning. A defining feature of transformers is their ability to perform previously…

Machine Learning · Computer Science 2025-10-02 Hongbo Li , Lingjie Duan , Yingbin Liang

This paper proposes an imitation learning (IL) framework for synthesizing neural network (NN) controllers that achieve boundary stabilization of systems governed by reaction-diffusion partial differential equations (PDEs). The plant is…

Optimization and Control · Mathematics 2025-11-18 Paulo Henrique Foganholo Biazetto , Mirko Fiacchini , Christophe Prieur , Gustavo Artur de Andrade

Highly dynamic tasks that require large accelerations and precise tracking usually rely on accurate models and/or high gain feedback. While kinematic optimization allows for efficient representation and online generation of hitting…

Robotics · Computer Science 2019-03-19 Okan Koc , Guilherme Maeda , Jan Peters

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 a control design method for linear time-invariant systems that iteratively learns to satisfy unknown polyhedral state constraints. At each iteration of a repetitive task, the method constructs an estimate of the unknown…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Monimoy Bujarbaruah , Charlott Vallon , Francesco Borrelli

In this paper we present a Learning Model Predictive Control (LMPC) strategy for linear and nonlinear time optimal control problems. Our work builds on existing LMPC methodologies and it guarantees finite time convergence properties for the…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Ugo Rosolia , Francesco Borrelli

This paper explores continuous-time control synthesis for target-driven navigation to satisfy complex high-level tasks expressed as linear temporal logic (LTL). We propose a model-free framework using deep reinforcement learning (DRL) where…

Robotics · Computer Science 2023-03-17 Mingyu Cai , Makai Mann , Zachary Serlin , Kevin Leahy , Cristian-Ioan Vasile

In this technical note we analyse the performance improvement and optimality properties of the Learning Model Predictive Control (LMPC) strategy for linear deterministic systems. The LMPC framework is a policy iteration scheme where…

Optimization and Control · Mathematics 2022-02-02 Ugo Rosolia , Yingzhao Lian , Emilio T. Maddalena , Giancarlo Ferrari-Trecate , Colin N. Jones

Learning-based control methods for industrial processes leverage the repetitive nature of the underlying process to learn optimal inputs for the system. While many works focus on linear systems, real-world problems involve nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Samuel Balula , Efe C. Balta , Dominic Liao-McPherson , Alisa Rupenyan , John Lygeros

This paper presents a distributed learning model predictive control (DLMPC) scheme for distributed linear time invariant systems with coupled dynamics and state constraints. The proposed solution method is based on an online distributed…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Yvonne R. Stürz , Edward L. Zhu , Ugo Rosolia , Karl H. Johansson , Francesco Borrelli

Manufacturing processes are often perturbed by drifts in the environment and wear in the system, requiring control re-tuning even in the presence of repetitive operations. This paper presents an iterative learning framework for automatic…

Robotics · Computer Science 2026-01-05 Deepak Ingole , Valentin Bhend , Shiva Ganesh Murali , Oliver Dobrich , Alisa Rupenyan

Trial-varying disturbances are a key concern in Iterative Learning Control (ILC) and may lead to inefficient and expensive implementations and severe performance deterioration. The aim of this paper is to develop a general framework for…

Systems and Control · Computer Science 2020-03-30 Tom Oomen , Cristian R. Rojas

This article focuses on making discrete-time Adaptive Iterative Learning Control (ILC) more effective using multiple estimation models. Existing strategies use the tracking error to adjust the parametric estimates. Our strategy uses the…

Systems and Control · Electrical Eng. & Systems 2024-06-14 Ram Padmanabhan , Rajini Makam , Koshy George

Sample-based learning model predictive control (LMPC) strategies have recently attracted attention due to their desirable theoretical properties and their good empirical performance on robotic tasks. However, prior analysis of LMPC…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Brijen Thananjeyan , Ashwin Balakrishna , Ugo Rosolia , Joseph E. Gonzalez , Aaron Ames , Ken Goldberg

Achieving precise control of robotic tool paths is often challenged by inherent system misalignments, unmodeled dynamics, and actuation inaccuracies. This work introduces an Iterative Learning Control (ILC) strategy to enable precise…

Robotics · Computer Science 2025-11-04 Yasamin Foroutani , Yasamin Mousavi-Motlagh , Aya Barzelay , Tsu-Chin Tsao

Learning-based control has attracted significant attention in recent years, especially for plants that are difficult to model based on first-principles. A key issue in learning-based control is how to make efficient use of data as the…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Kaikai Zheng , Dawei Shi , Sandra Hirche , Yang Shi

By optimizing the predicted performance over a receding horizon, model predictive control (MPC) provides the ability to enforce state and control constraints. The present paper considers an extension of MPC for nonlinear systems that can be…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Mohammadreza Kamaldar , Dennis S. Bernstein

In Iterative Learning Control (ILC), a sequence of feedforward control actions is generated at each iteration on the basis of partial model knowledge and past measurements with the goal of steering the system toward a desired reference…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Efe C. Balta , Andrea Iannelli , Roy S. Smith , John Lygeros