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Stabilizing controller design and region of attraction (RoA) estimation are essential in nonlinear control. Moreover, it is challenging to implement a control Lyapunov function (CLF) in practice when only partial knowledge of the system is…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

Drawing on ergodic theory, we introduce a novel training method for machine learning based forecasting methods for chaotic dynamical systems. The training enforces dynamical invariants--such as the Lyapunov exponent spectrum and fractal…

Machine Learning · Computer Science 2023-04-26 Jason A. Platt , Stephen G. Penny , Timothy A. Smith , Tse-Chun Chen , Henry D. I. Abarbanel

We propose a method to generate actuation plans for a reduced order, dynamic model of bipedal running. This method explicitly enforces robustness to ground uncertainty. The plan generated is not a fixed body trajectory that is aggressively…

Robotics · Computer Science 2020-01-30 Kevin Green , Ross L. Hatton , Jonathan Hurst

Reinforcement Learning (RL) algorithms have achieved remarkable performance in decision making and control tasks due to their ability to reason about long-term, cumulative reward using trial and error. However, during RL training, applying…

Robotics · Computer Science 2021-03-03 Yifei Simon Shao , Chao Chen , Shreyas Kousik , Ram Vasudevan

We propose a tracking control law for the fully actuated rigid body system in the presence of any unknown constant disturbance by employing quaternions with the stable embedding technique and Lyapunov stability theory. The stable embedding…

Optimization and Control · Mathematics 2020-10-06 Wonshick Ko , Karmvir Singh Phogat , Nicolas Petit , Dong Eui Chang

We present a novel approach to quantifying and optimizing stability in robotic systems based on the Lyapunov exponents addressing an open challenge in the field of robot analysis, design, and optimization. Our method leverages…

Robotics · Computer Science 2024-12-10 G. Fadini , S. Coros

Asynchronous execution is essential for scaling reinforcement learning (RL) to modern large model workloads, including large language models and AI agents, but it can fundamentally alter RL optimization behavior. While prior work on…

Machine Learning · Computer Science 2026-03-03 Haofeng Xu , Junwei Su , Yukun Tian , Lansong Diao , Zhengping Qian , Chuan Wu

This paper is concerned with the robust tracking control of linear uncertain systems, whose unknown system parameters and disturbances are bounded within ellipsoidal sets. We propose an adaptive robust control that can actively learn the…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Xuehui Ma , Shiliang Zhang , Yushuai Li , Fucai Qian , Tingwen Huang

In recent times, a variety of Reinforcement Learning (RL) algorithms have been proposed for optimal tracking problem of continuous time nonlinear systems with input constraints. Most of these algorithms are based on the notion of uniform…

Systems and Control · Electrical Eng. & Systems 2020-06-16 Amardeep Mishra , Satadal Ghosh

Model-free Deep Reinforcement Learning (DRL) controllers have demonstrated promising results on various challenging non-linear control tasks. While a model-free DRL algorithm can solve unknown dynamics and high-dimensional problems, it…

Robotics · Computer Science 2022-03-03 Zikang Xiong , Joe Eappen , Ahmed H. Qureshi , Suresh Jagannathan

Reinforcement learning is a powerful paradigm for learning optimal policies from experimental data. However, to find optimal policies, most reinforcement learning algorithms explore all possible actions, which may be harmful for real-world…

Machine Learning · Statistics 2017-11-15 Felix Berkenkamp , Matteo Turchetta , Angela P. Schoellig , Andreas Krause

We consider the problem of reinforcement learning (RL) with unbounded state space motivated by the classical problem of scheduling in a queueing network. Traditional policies as well as error metric that are designed for finite, bounded or…

Machine Learning · Computer Science 2020-06-09 Devavrat Shah , Qiaomin Xie , Zhi Xu

Computed-torque control requires a very precise dynamical model of the robot for compensating the manipulator dynamics. This allows reduction of the controller's feedback gains resulting in disturbance attenuation and other advantages.…

Systems and Control · Computer Science 2018-11-19 Thomas Beckers , Jonas Umlauft , Sandra Hirche

This paper presents an approach for learning motion planners that are accompanied with probabilistic guarantees of success on new environments that hold uniformly for any disturbance to the robot's dynamics within an admissible set. We…

Robotics · Computer Science 2021-11-18 Ali Ekin Gurgen , Anirudha Majumdar , Sushant Veer

The robustness of legged locomotion is crucial for quadrupedal robots in challenging terrains. Recently, Reinforcement Learning (RL) has shown promising results in legged locomotion and various methods try to integrate privileged…

Robotics · Computer Science 2023-09-04 Jiyuan Shi , Chenjia Bai , Haoran He , Lei Han , Dong Wang , Bin Zhao , Mingguo Zhao , Xiu Li , Xuelong Li

The discipline of automatic control is making increased use of concepts that originate from the domain of machine learning. Herein, reinforcement learning (RL) takes an elevated role, as it is inherently designed for sequential decision…

Systems and Control · Electrical Eng. & Systems 2024-12-04 Maximilian Schenke , Shalbus Bukarov

Graph Neural Networks (GNNs) are highly vulnerable to adversarial perturbations in both topology and features, making the learning of robust representations a critical challenge. In this work, we bridge GNNs with control theory to introduce…

Machine Learning · Computer Science 2026-03-16 Haoyu Chu , Xiaotong Chen , Wei Zhou , Wenjun Cui , Kai Zhao , Shikui Wei , Qiyu Kang

Since batch algorithms suffer from lack of proficiency in confronting model mismatches and disturbances, this contribution proposes an adaptive scheme based on continuous Lyapunov function for online robot dynamic identification. This paper…

Robotics · Computer Science 2022-10-28 Pedram Agand , Mahdi Aliyari Shoorehdeli

This paper presents a new Lyapunov-based nonlinear model predictive controller (LNMPC) for the attitude control problem of unmanned aerial vehicles (UAVs), which is essential for their functioning operation. The controller is designed based…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Duy Nam Bui , Thi Thanh Van Nguyen , Manh Duong Phung

This paper studies the trajectory tracking and motion control problems for autonomous vehicles (AVs). A parameter adaptive control framework for AVs is proposed to enhance tracking accuracy and yaw stability. While establishing linear…

Systems and Control · Electrical Eng. & Systems 2024-11-28 Jiarui Song , Yingbo Sun , Qing Dong , Xuewu Ji