@inproceedings{8751f04509a74ef68fa7595c94485c0b,
title = "Estimation of RoA for Nonlinear Systems Based on Gaussian Processes",
abstract = "This paper employs Gaussian Processes (GPs) to estimate uncertainty dynamics inherent in nonlinear systems. A control policy ensuring the system satisfies initial stability constraints is derived using linear quadratic regulator (LQR). By modeling the Lyapunov function based on uncertain dynamics as GPs, the stability of the system dynamics in the Lyapunov sense is ensured. To discretize the Lyapunov function with Lipschitz continuity, a finite number of discrete points are chosen to represent the properties of the function. The region of attraction (RoA) based on Lyapunov function is widely utilized as a safe constraint in the field of control. Additionally, the maximum uncertainty dynamics are chosen as the boundary for exploration to expand the evaluation of the RoA. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed approach.",
keywords = "Gaussian Processes, Lyapunov function, Region of attraction, Uncertain dynamics",
author = "Yucheng Chen and Yupeng Zhu and Hongming Zhu and Quanqi Zhang and Chengwei Wu",
note = "Publisher Copyright: {\textcopyright} 2024 IEEE.; 6th International Conference on Electronic Engineering and Informatics, EEI 2024 ; Conference date: 28-06-2024 Through 30-06-2024",
year = "2024",
doi = "10.1109/EEI63073.2024.10695967",
language = "英语",
series = "2024 6th International Conference on Electronic Engineering and Informatics, EEI 2024",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1004--1008",
booktitle = "2024 6th International Conference on Electronic Engineering and Informatics, EEI 2024",
address = "美国",
}