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We develop data-driven reinforcement learning (RL) control designs for input-affine nonlinear systems. We use Carleman linearization to express the state-space representation of the nonlinear dynamical model in the Carleman space, and…

系统与控制 · 电气工程与系统科学 2024-08-09 Jishnudeep Kar , He Bai , Aranya Chakrabortty

Reinforcement learning has traditionally focused on learning state-dependent policies to solve optimal control problems in a closed-loop fashion. In this work, we introduce the paradigm of open-loop reinforcement learning where a fixed…

机器学习 · 计算机科学 2025-04-23 Onno Eberhard , Claire Vernade , Michael Muehlebach

This paper presents a machine learning approach for tuning the parameters of a family of stabilizing controllers for orbital tracking. An augmented random search algorithm is deployed, which aims at minimizing a cost function combining…

系统与控制 · 电气工程与系统科学 2023-08-08 Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani , Mirko Leomanni , Renato Quartullo

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

We derive a state-space characterization of all dynamic state-feedback controllers that make an equilibrium of a nonlinear input-affine continuous-time system locally exponentially stable. Specifically, any controller obtained as the sum of…

系统与控制 · 电气工程与系统科学 2026-05-19 Luca Furieri

Reinforcement learning is commonly associated with training of reward-maximizing (or cost-minimizing) agents, in other words, controllers. It can be applied in model-free or model-based fashion, using a priori or online collected system…

系统与控制 · 电气工程与系统科学 2022-09-01 Lukas Beckenbach , Pavel Osinenko , Stefan Streif

The lack of stability guarantee restricts the practical use of learning-based methods in core control problems in robotics. We develop new methods for learning neural control policies and neural Lyapunov critic functions in the model-free…

机器人学 · 计算机科学 2021-07-13 Ya-Chien Chang , Sicun Gao

Robust model predictive control (MPC) is a well-known control technique for model-based control with constraints and uncertainties. In classic robust tube-based MPC approaches, an open-loop control sequence is computed via periodically…

系统与控制 · 电气工程与系统科学 2022-06-13 Xinglong Zhang , Jiahang Liu , Xin Xu , Shuyou Yu , Hong Chen

In this paper, we propose an online learning-based predictive control (LPC) approach designed for nonlinear systems that lack explicit system dynamics. Unlike traditional model predictive control (MPC) algorithms that rely on known system…

最优化与控制 · 数学 2025-03-17 Yuanqing Zhang , Huanshui Zhang

We address the problem of verifying closed-loop contraction in nonlinear control systems whose controller and contraction metric are both parameterized by neural networks. By leveraging interval analysis and interval bound propagation, we…

系统与控制 · 电气工程与系统科学 2025-12-03 Alexander Davydov

A reinforcement learning (RL) policy trained in a nominal environment could fail in a new/perturbed environment due to the existence of dynamic variations. Existing robust methods try to obtain a fixed policy for all envisioned dynamic…

机器学习 · 计算机科学 2022-03-10 Yikun Cheng , Pan Zhao , Manan Gandhi , Bo Li , Evangelos Theodorou , Naira Hovakimyan

We propose a piecewise learning framework for controlling nonlinear systems with unknown dynamics. While model-based reinforcement learning techniques in terms of some basis functions are well known in the literature, when it comes to more…

最优化与控制 · 数学 2022-04-06 Milad Farsi , Yinan Li , Ye Yuan , Jun Liu

Recent advancement in combining trajectory optimization with function approximation (especially neural networks) shows promise in learning complex control policies for diverse tasks in robot systems. Despite their great flexibility, the…

机器人学 · 计算机科学 2022-04-07 Zhigen Zhao , Simiao Zuo , Tuo Zhao , Ye Zhao

This paper proposes a new regularization technique for reinforcement learning (RL) towards making policy and value functions smooth and stable. RL is known for the instability of the learning process and the sensitivity of the acquired…

机器人学 · 计算机科学 2023-07-04 Taisuke Kobayashi

In this paper, we investigate a data-driven framework to solve Linear Quadratic Regulator (LQR) problems when the dynamics is unknown, with the additional challenge of providing stability certificates for the overall learning and control…

系统与控制 · 电气工程与系统科学 2026-04-13 Lorenzo Sforni , Guido Carnevale , Ivano Notarnicola , Giuseppe Notarstefano

This paper proposes a robust control design method using reinforcement-learning for controlling partially-unknown dynamical systems under uncertain conditions. The method extends the optimal reinforcement-learning algorithm with a new…

系统与控制 · 电气工程与系统科学 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

This paper presents a novel approach to reinforcement learning (RL) for control systems that provides probabilistic stability guarantees using finite data. Leveraging Lyapunov's method, we propose a probabilistic stability theorem that…

机器学习 · 计算机科学 2026-03-03 Minghao Han , Lixian Zhang , Chenliang Liu , Zhipeng Zhou , Jun Wang , Wei Pan

An iterative learning based economic model predictive controller (ILEMPC) is proposed for repetitive tasks in this paper. Compared with existing works, the initial feasible trajectory of the proposed ILEMPC is not restricted to be…

系统与控制 · 计算机科学 2018-02-13 Yushen Long , Lihua Xie , Shuai Liu

We propose a novel and fully data driven control scheme which relies on machine learning (ML). Exploiting recently developed ML-based prediction capabilities of complex systems, we demonstrate that nonlinear systems can be forced to stay in…

机器学习 · 计算机科学 2021-03-02 Alexander Haluszczynski , Christoph Räth

This paper proposes a framework for adaptively learning a feedback linearization-based tracking controller for an unknown system using discrete-time model-free policy-gradient parameter update rules. The primary advantage of the scheme over…