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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

This paper considers the leader-follower tracking control problem for linear interconnected systems with undirected topology and linear dynamic coupling. Interactions between the systems are treated as linear dynamic uncertainty and are…

Systems and Control · Computer Science 2015-02-17 Yi Cheng , V. Ugrinovskii

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

Robots executing iterative tasks in complex, uncertain environments require control strategies that balance robustness, safety, and high performance. This paper introduces a safe information-theoretic learning model predictive control…

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

Fast execution of contact-rich manipulation is critical for practical deployment, yet providing fast demonstrations for imitation learning (IL) remains challenging: humans cannot demonstrate at high speed, and naively accelerating…

Robotics · Computer Science 2026-04-21 Koki Yamane , Cristian C. Beltran-Hernandez , Steven Oh , Masashi Hamaya , Sho Sakaino

Many techniques have been developed for the loop-shaping method in control design. While most loop-shaping methods apply a model of the open-loop controlled plant, the resulting performance depends on the accuracy of the dynamical model.…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Li-Wei Shih , Cheng-Wei Chen

Learning-based control methods utilize run-time data from the underlying process to improve the controller performance under model mismatch and unmodeled disturbances. This is beneficial for optimizing industrial processes, where the…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Efe C. Balta , Kira Barton , Dawn M. Tilbury , Alisa Rupenyan , John Lygeros

Feedback control systems do not do what you ask. The concept of bandwidth is defined to tell what components of a command are reasonably well handled. Iterative Learning Control (ILC) seeks to converge to zero error following any given…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Shuo Liu , Richard W. Longman

In this work we address the problem of performing a repetitive task when we have uncertain observations and dynamics. We formulate this problem as an iterative infinite horizon optimal control problem with output feedback. Previously, this…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

Achieving precise target jumping with legged robots poses a significant challenge due to the long flight phase and the uncertainties inherent in contact dynamics and hardware. Forcefully attempting these agile motions on hardware could…

Robotics · Computer Science 2024-08-06 Chuong Nguyen , Lingfan Bao , Quan Nguyen

This paper proposes a global iterative sliding mode control approach for high-precision contouring tasks of a flexure-linked biaxial gantry system. For such high-precision contouring tasks, it is the typical situation that the involved…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Wenxin Wang , Jun Ma , Zilong Cheng , Xiaocong Li , Clarence W de Silva , Tong Heng Lee

Guaranteeing constraint satisfaction is challenging in imitation learning (IL), particularly in tasks that require operating near a system's handling limits. Traditional IL methods, such as Behavior Cloning (BC), often struggle to enforce…

Machine Learning · Computer Science 2025-08-29 Shengfan Cao , Eunhyek Joa , Francesco Borrelli

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

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

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

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

Growing demands in today's industry results in increasingly stringent performance and throughput specifications. For accurate positioning of high-precision motion systems, feedforward control plays a crucial role. Nonetheless, conventional…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Anantha Sai Hariharan Vinjarapu , Yorick Broens , Hans Butler , Roland Tóth

Continual learning (CL) is a new online learning technique over sequentially generated streaming data from different tasks, aiming to maintain a small forgetting loss on previously-learned tasks. Existing work focuses on reducing the…

Machine Learning · Computer Science 2024-12-25 Shugang Hao , Lingjie Duan

Contour tracking plays a crucial role in multi-axis motion control systems, and it requires both multi-axial contouring as well as standard servo performance in each axis. Among the existing contouring control methods, the cross coupled…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Yue Cao , Zhen Zhang