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Related papers: Imitation and Transfer Learning for LQG Control

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Many control tasks can be formulated as a tracking problem of a known or unknown reference signal. Examples are movement compensation in collaborative robotics, the synchronisation of oscillations for power systems or reference tracking of…

Optimization and Control · Mathematics 2019-11-26 Janine Matschek , Andreas Himmel , Kai Sundmacher , Rolf Findeisen

One of the key benefits of model predictive control is the capability of controlling a system proactively in the sense of taking the future system evolution into account. However, often external disturbances or references are not a priori…

Optimization and Control · Mathematics 2019-12-03 Janine Matschek , Tim Gonschorek , Magnus Hanses , Norbert Elkmann , Frank Ortmeier , Rolf Findeisen

Iterative linear quadratic regulator (iLQR) has gained wide popularity in addressing trajectory optimization problems with nonlinear system models. However, as a model-based shooting method, it relies heavily on an accurate system model to…

Machine Learning · Computer Science 2022-09-16 Zilong Cheng , Yulin Li , Kai Chen , Jun Ma , Tong Heng Lee

We consider the linear quadratic (LQ) optimal control problem for a class of evolution equations in infinite dimensions, in the presence of distributed and nonlocal inputs. Following the perspective taken in our previous research work on…

Optimization and Control · Mathematics 2024-07-23 Paolo Acquistapace , Francesca Bucci

We present an algorithm that learns to imitate expert behavior and can transfer to previously unseen domains without retraining. Such an algorithm is extremely relevant in real-world applications such as robotic learning because 1) reward…

Machine Learning · Computer Science 2023-10-11 Alvaro Cauderan , Gauthier Boeshertz , Florian Schwarb , Calvin Zhang

This paper is concerned with the linear quadratic (LQ) optimal control of continuous-time system with terminal state constraint. In particular, multiple agents exist in the system which can only access partial information of the matrix…

Optimization and Control · Mathematics 2025-10-21 Wenjing Yang , Zhaorong Zhang , Juanjuan Xu

Integer-order calculus often falls short in capturing the long-range dependencies and memory effects found in many real-world processes. Fractional calculus addresses these gaps via fractional-order integrals and derivatives, but…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Xiaole Zhang , Peiyu Zhang , Xiongye Xiao , Shixuan Li , Vasileios Tzoumas , Vijay Gupta , Paul Bogdan

We introduce a new problem setting for continuous control called the LQR with Rich Observations, or RichLQR. In our setting, the environment is summarized by a low-dimensional continuous latent state with linear dynamics and quadratic…

Robust imitation learning seeks to mimic expert controller behavior while ensuring stability, but current methods require accurate plant models. Here, robust imitation learning is addressed for stabilizing poorly modeled plants with linear…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Amy K. Strong , Ethan J. LoCicero , Leila Bridgeman

Regularization is a well recognized powerful strategy to improve the performance of a learning machine and $l^q$ regularization schemes with $0<q<\infty$ are central in use. It is known that different $q$ leads to different properties of…

Machine Learning · Computer Science 2014-09-26 Shaobo Lin , Jinshan Zeng , Jian Fang , Zongben Xu

Mitigating measurement errors in quantum systems without relying on quantum error correction is of critical importance for the practical development of quantum technology. Deep learning-based quantum measurement error mitigation has…

Quantum Physics · Physics 2024-08-12 ChangWon Lee , Daniel K. Park

This paper proposes a differentiable robust LQR layer for reinforcement learning and imitation learning under model uncertainty and stochastic dynamics. The robust LQR layer can exploit the advantages of robust optimal control and…

Robotics · Computer Science 2021-06-11 Ngo Anh Vien , Gerhard Neumann

In modern machine learning, models can often fit training data in numerous ways, some of which perform well on unseen (test) data, while others do not. Remarkably, in such cases gradient descent frequently exhibits an implicit bias that…

Machine Learning · Computer Science 2024-06-04 Noam Razin , Yotam Alexander , Edo Cohen-Karlik , Raja Giryes , Amir Globerson , Nadav Cohen

In this paper, we study the use of state-of-the-art nonlinear system identification techniques for the optimal control of nonlinear systems. We show that the nonlinear systems identification problem is equivalent to estimating the…

Optimization and Control · Mathematics 2023-10-23 Aayushman Sharma , Suman Chakravorty

We analyze offline designs of linear quadratic regulator (LQR) strategies with uncertain disturbances. First, we consider the scenario where the exogenous variable can be estimated in a controlled environment, and subsequently, consider a…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Sayak Mukherjee , Ramij R. Hossain , Mahantesh Halappanavar

This paper investigates the design of self-triggered control for networked control systems (NCS), where the dynamics of the plant is unknown apriori. To deal with the nature of the self-triggered control, in which state measurements are…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Wang Zhijun , Kazumune Hashimoto , Wataru Hashimoto , Shigemasa Takai

Recent literature has made much progress in understanding \emph{online LQR}: a modern learning-theoretic take on the classical control problem in which a learner attempts to optimally control an unknown linear dynamical system with fully…

Machine Learning · Computer Science 2020-10-06 Max Simchowitz

In this paper we explore the Linear-Quadratic Regulator (LQR) to model movement of the mouse pointer. We propose a model in which users are assumed to behave optimally with respect to a certain cost function. Users try to minimize the…

Human-Computer Interaction · Computer Science 2020-02-27 Florian Fischer , Arthur Fleig , Markus Klar , Lars Gruene , Joerg Mueller

Off-policy, value-based reinforcement learning methods such as Q-learning are appealing because they can learn from arbitrary experience, including data collected by older policies or other agents. In practice, however, bootstrapping makes…

Artificial Intelligence · Computer Science 2026-05-12 Armaan A. Abraham , Lucy Xiaoyang Shi , Chelsea Finn

Recently, motion generation by machine learning has been actively researched to automate various tasks. Imitation learning is one such method that learns motions from data collected in advance. However, executing long-term tasks remains…

Robotics · Computer Science 2022-03-17 Kazuki Hayashi , Sho Sakaino , Toshiaki Tsuji
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