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A coupled computational approach to simultaneously learn a vector field and the region of attraction of an equilibrium point from generated trajectories of the system is proposed. The nonlinear identification leverages the local stability…

机器学习 · 统计学 2020-08-25 Arash Mehrjou , Andrea Iannelli , Bernhard Schölkopf

This paper studies the problem of utilizing data-driven adaptive control techniques to guarantee stability and safety of uncertain nonlinear systems with high relative degree. We first introduce the notion of a High Order Robust Adaptive…

系统与控制 · 电气工程与系统科学 2022-10-11 Max H. Cohen , Calin Belta

Learning stable dynamical systems from data is crucial for safe and reliable robot motion planning and control. However, extending stability guarantees to trajectories defined on Riemannian manifolds poses significant challenges due to the…

机器人学 · 计算机科学 2025-10-08 David Boetius , Abdelrahman Abdelnaby , Ashok Kumar , Stefan Leue , Abdalla Swikir , Fares J. Abu-Dakka

Learning safe and stable robot motions from demonstrations remains a challenge, especially in complex, nonlinear tasks involving dynamic, obstacle-rich environments. In this paper, we propose Safe and Stable Neural Network Dynamical Systems…

The property that every control system should posses is stability, which translates into safety in real-life applications. A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions…

其他计算机科学 · 计算机科学 2010-04-01 M. Lazar

When neural networks are used to model dynamics, properties such as stability of the dynamics are generally not guaranteed. In contrast, there is a recent method for learning the dynamics of autonomous systems that guarantees global…

机器学习 · 计算机科学 2022-03-21 Kenji Kashima , Ryota Yoshiuchi , Yu Kawano

Koopman operator theory has gained significant attention in recent years for identifying discrete-time nonlinear systems by embedding them into an infinite-dimensional linear vector space. However, providing stability guarantees while…

系统与控制 · 电气工程与系统科学 2025-04-03 Ruikun Zhou , Yiming Meng , Zhexuan Zeng , Jun Liu

This paper introduces the concept of parameter-dependent (PD) control Lyapunov functions (CLFs) for gain-scheduled stabilization of nonlinear parameter-varying (NPV) systems. It shows that given a PD-CLF, a min-norm control law can be…

最优化与控制 · 数学 2025-03-06 Pan Zhao

Learning from expert demonstrations to flexibly program an autonomous system with complex behaviors or to predict an agent's behavior is a powerful tool, especially in collaborative control settings. A common method to solve this problem is…

系统与控制 · 电气工程与系统科学 2024-05-15 Samuel Tesfazgi , Leonhard Sprandl , Armin Lederer , Sandra Hirche

Nonlinear robust control is pursued by overcoming the drawback of linear robust control that it ignores available information about existing nonlinearities and the resulting controllers may be too conservative, especially when the…

系统与控制 · 电气工程与系统科学 2019-12-30 Yongqiang Li , Chaolun Lu , Zhongsheng Hou , Yuanjing Feng

This paper addresses the challenge of safe stabilization, ensuring the system state reach the origin while avoiding unsafe regions. Existing approaches relying on smooth Lyapunov barrier functions often fail to guarantee a feasible…

系统与控制 · 电气工程与系统科学 2025-04-08 Jianglin Lan , Eldert van Henten , Peter Groot Koerkamp , Congcong Sun

There are recent shifts in demand for design controllers from simplified to complex model-based. Although simplification approaches are successful in many areas of engineering control systems, high-fidelity simulation-based control design,…

系统与控制 · 电气工程与系统科学 2024-02-15 Jongrae Kim

Model-based Reinforcement Learning (MBRL) has shown many desirable properties for intelligent control tasks. However, satisfying safety and stability constraints during training and rollout remains an open question. We propose a new…

系统与控制 · 电气工程与系统科学 2024-05-28 Harry Zhang

Recent advances in the reinforcement learning (RL) literature have enabled roboticists to automatically train complex policies in simulated environments. However, due to the poor sample complexity of these methods, solving RL problems using…

机器人学 · 计算机科学 2022-11-21 Tyler Westenbroek , Fernando Castaneda , Ayush Agrawal , Shankar Sastry , Koushil Sreenath

Control design for general nonlinear robotic systems with guaranteed stability and/or safety in the presence of model uncertainties is a challenging problem. Recent efforts attempt to learn a controller and a certificate (e.g., a Lyapunov…

系统与控制 · 电气工程与系统科学 2025-06-05 Vivek Sharma , Pan Zhao , Naira Hovakimyan

Most of nonlinear robust control methods just consider the affine nonlinear nominal model. When the nominal model is assumed to be affine nonlinear, available information about existing non-affine nonlinearities is ignored. For non-affine…

系统与控制 · 电气工程与系统科学 2019-12-30 Chaolun Lu , Yongqiang Li , Zhongsheng Hou , Yuanjing Feng , Yu Feng , Ronghu Chi , Xuhui Bu

Adaptive Control Lyapunov Functions (aCLFs) were introduced 20 years ago, and provided a Lyapunov-based methodology for stabilizing systems with parameter uncertainty. The goal of this paper is to revisit this classic formulation in the…

系统与控制 · 电气工程与系统科学 2020-11-20 Andrew J. Taylor , Aaron D. Ames

This paper proposes an adaptive neural network-based backstepping controller that uses rigid graph theory to address the distance-based formation control problem and target tracking for nonlinear multi-agent systems with bounded time-delay…

系统与控制 · 电气工程与系统科学 2020-10-13 Kiarash Aryankia , Rastko R. Selmic

The deployment of Reinforcement Learning to robotics applications faces the difficulty of reward engineering. Therefore, approaches have focused on creating reward functions by Learning from Observations (LfO) which is the task of learning…

机器人学 · 计算机科学 2023-03-07 Milan Ganai , Chiaki Hirayama , Ya-Chien Chang , Sicun Gao

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…

系统与控制 · 电气工程与系统科学 2020-11-16 Minghao Han , Yuan Tian , Lixian Zhang , Jun Wang , Wei Pan