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This paper studies data-driven iterative learning control (ILC) for linear time-invariant (LTI) systems with unknown dynamics, output disturbances and input box-constraints. Our main contributions are: 1) using a non-parametric data-driven…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Jia Wang , Leander Hemelhof , Ivan Markovsky , Panagiotis Patrinos

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…

Iterative learning control (ILC) is a method for reducing system tracking or estimation errors over multiple iterations by using information from past iterations. The disturbance observer (DOB) is used to estimate and mitigate disturbances…

Robotics · Computer Science 2024-04-23 Harsh Modi , Zhu Chen , Xiao Liang , Minghui Zheng

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

The sudden onset of deleterious and oscillatory dynamics (often called instabilities) is a known challenge in many fluid, plasma, and aerospace systems. These dynamics are difficult to address because they are nonlinear, chaotic, and are…

Machine Learning · Computer Science 2024-05-31 John W. Brooks , Christine M. Greve

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

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

A significant limitation of Deep Reinforcement Learning (DRL) is the stochastic uncertainty in actions generated during exploration-exploitation, which poses substantial safety risks during both training and deployment. In industrial…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Runze Lin , Ziqi Zhuo , Junghui Chen , Lei Xie , Hongye Su

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

Optimization and Control · Mathematics 2019-10-31 Ugo Rosolia , Francesco Borrelli

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

The goal of this work is to enable a team of quadrotors to learn how to accurately track a desired trajectory while holding a given formation. We solve this problem in a distributed manner, where each vehicle has only access to the…

Robotics · Computer Science 2016-09-27 Andreas Hock , Angela P. Schoellig

A robust Learning Model Predictive Controller (LMPC) for uncertain systems performing iterative tasks is presented. At each iteration of the control task the closed-loop state, input and cost are stored and used in the controller design.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Ugo Rosolia , Xiaojing Zhang , Francesco Borrelli

Robust and adaptive control strategies are needed when robots or automated systems are introduced to unknown and dynamic environments where they are required to cope with disturbances, unmodeled dynamics, and parametric uncertainties. In…

Robotics · Computer Science 2018-07-17 Karime Pereida , Dave Kooijman , Rikky R. P. R. Duivenvoorden , Angela P. Schoellig

Before AI and neural nets, the excitement was about iterative learning control (ILC): the idea to train robots to perform repetitive tasks or train a system to reject quasi-periodic disturbances. The excitement waned after the discovery of…

Accelerator Physics · Physics 2022-10-14 Shane Rupert Koscielniak

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

Congestion on highways has become a significant social problem due to the increasing number of vehicles, leading to considerable waste of time and pollution. Regulating the outflow from the Service Station can help alleviate this…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Hongxi Xiang , Carlo Cenedese , Efe C. Balta , John Lygeros

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

The stability and convergence of an Iterative Learning Controller (ILC) may be assessed either by directly iterating the equations for a variety of inputs, or by finding the eigenvalues of the iterated system, or by forming the Z-transform…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Shane Rupert Koscielniak

As robots and other automated systems are introduced to unknown and dynamic environments, robust and adaptive control strategies are required to cope with disturbances, unmodeled dynamics and parametric uncertainties. In this paper, we…

Robotics · Computer Science 2017-05-16 Karime Pereida , Rikky R. P. R. Duivenvoorden , Angela P. Schoellig

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