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Analyzing the spectral properties of the Koopman operator is crucial for understanding and predicting the behavior of complex stochastic dynamical systems. However, the accuracy of data-driven estimation methods, such as Extended Dynamic…

Dynamical Systems · Mathematics 2025-09-08 Yuanchao Xu , Jing Liu , Zhongwei Shen , Isao Ishikawa

Traditional linear control strategies have been extensively researched and utilized in many robotic and industrial applications and yet they do not respond to the total dynamics of the systems. To avoid tedious calculations for nonlinear…

Robotics · Computer Science 2022-03-16 Kanishk . , Rushil Kumar , Vikas Rastogi , Ajeet Kumar

Urban autonomous driving decision making is challenging due to complex road geometry and multi-agent interactions. Current decision making methods are mostly manually designing the driving policy, which might result in sub-optimal solutions…

Machine Learning · Computer Science 2019-10-23 Jianyu Chen , Bodi Yuan , Masayoshi Tomizuka

This paper delves into designing stabilizing feedback control gains for continuous linear systems with unknown state matrix, in which the control is subject to a general structural constraint. We bring forth the ideas from reinforcement…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Sayak Mukherjee , Thanh Long Vu

We propose a control framework that integrates model-based bipedal locomotion with residual reinforcement learning (RL) to achieve robust and adaptive walking in the presence of real-world uncertainties. Our approach leverages a model-based…

Robotics · Computer Science 2026-01-23 Yashuai Yan , Tobias Egle , Christian Ott , Dongheui Lee

Reinforcement learning (RL) is promising for complicated stochastic nonlinear control problems. Without using a mathematical model, an optimal controller can be learned from data evaluated by certain performance criteria through…

Systems and Control · Electrical Eng. & Systems 2020-11-16 Minghao Han , Yuan Tian , Lixian Zhang , Jun Wang , Wei Pan

By combining the agility of legged locomotion with the capabilities of manipulation, loco-manipulation platforms have the potential to perform complex tasks in real-world applications. To this end, state-of-the-art quadrupeds with…

Robotics · Computer Science 2025-09-30 Benjamin Hoffman , Jin Cheng , Chenhao Li , Stelian Coros

We propose a data-driven method for controlling the frequency and convergence rate of black-box nonlinear dynamical systems based on the Koopman operator theory. With the proposed method, a policy network is trained such that the…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Tomoharu Iwata , Yoshinobu Kawahara

We present a unified model-based and data-driven approach for quadrupedal planning and control to achieve dynamic locomotion over uneven terrain. We utilize on-board proprioceptive and exteroceptive feedback to map sensory information and…

Robotics · Computer Science 2022-05-13 Siddhant Gangapurwala , Mathieu Geisert , Romeo Orsolino , Maurice Fallon , Ioannis Havoutis

Reinforcement learning (RL) is a technique to learn the control policy for an agent that interacts with a stochastic environment. In any given state, the agent takes some action, and the environment determines the probability distribution…

Machine Learning · Computer Science 2021-07-30 Gaurav Gupta , Chenzhong Yin , Jyotirmoy V. Deshmukh , Paul Bogdan

This paper proposes a Koopman-based framework for modeling, prediction, and control of unknown nonlinear time-varying systems. We present a novel Koopman-based learning method for predicting the state of unknown nonlinear time-varying…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Hengde Zhang , Yunxiao Ren , Zhisheng Duan , Zhiyong Sun , Guanrong Chen

We consider a new form of reinforcement learning (RL) that is based on opportunities to directly learn the optimal control policy and a general Markov decision process (MDP) framework devised to support these opportunities. Derivations of…

Machine Learning · Computer Science 2021-04-02 Yingdong Lu , Mark S. Squillante , Chai Wah Wu

This paper presents a study of the Koopman operator theory and its application to optimal control of a multi-robot system. The Koopman operator, while operating on a set of observation functions of the state vector of a nonlinear system,…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Gang Tao , Qianhong Zhao

Deep reinforcement learning (RL) uses model-free techniques to optimize task-specific control policies. Despite having emerged as a promising approach for complex problems, RL is still hard to use reliably for real-world applications. Apart…

Robotics · Computer Science 2020-02-25 Siddhant Gangapurwala , Alexander Mitchell , Ioannis Havoutis

The accurate modeling of dynamics in interactive environments is critical for successful long-range prediction. Such a capability could advance Reinforcement Learning (RL) and Planning algorithms, but achieving it is challenging.…

Machine Learning · Computer Science 2024-05-14 Arnab Kumar Mondal , Siba Smarak Panigrahi , Sai Rajeswar , Kaleem Siddiqi , Siamak Ravanbakhsh

A random recurrent neural network, called a reservoir, can be used to learn robot movements conditioned on context inputs that encode task goals. The Learning is achieved by mapping the random dynamics of the reservoir modulated by context…

Robotics · Computer Science 2024-11-19 Zahra Koulaeizadeh , Erhan Oztop

Koopman-based modeling and model predictive control have been a promising alternative for optimal control of nonlinear processes. Good Koopman modeling performance significantly depends on an appropriate nonlinear mapping from the original…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Zhaoyang Li , Minghao Han , Dat-Nguyen Vo , Xunyuan Yin

This paper presents a novel learning framework to construct Koopman eigenfunctions for unknown, nonlinear dynamics using data gathered from experiments. The learning framework can extract spectral information from the full nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-03-19 Carl Folkestad , Daniel Pastor , Igor Mezic , Ryan Mohr , Maria Fonoberova , Joel Burdick

In this work, we study model-based reinforcement learning (RL) in unknown stabilizable linear dynamical systems. When learning a dynamical system, one needs to stabilize the unknown dynamics in order to avoid system blow-ups. We propose an…

Machine Learning · Computer Science 2022-06-06 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

Learning to control unknown nonlinear dynamical systems is a fundamental problem in reinforcement learning and control theory. A commonly applied approach is to first explore the environment (exploration), learn an accurate model of it…

Machine Learning · Computer Science 2023-06-16 Andrew Wagenmaker , Guanya Shi , Kevin Jamieson