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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

This paper proposes an optimization with penalty-based feedback design framework for safe stabilization of control affine systems. Our starting point is the availability of a control Lyapunov function (CLF) and a control barrier function…

最优化与控制 · 数学 2022-07-26 Pol Mestres , Jorge Cortés

Flow generated noise are caused shear flows and, hence, they can be used as feedback to control the flow. Existing flow control uses state variables like velocity, pressure, or vorticity, none use acoustic observables as the primary control…

流体动力学 · 物理学 2026-05-12 Siddharth Rout , Khai Phan , Chao-An Lin

This work addresses the synthesis of optimal feedback control laws via machine learning. In particular, the Averaged Feedback Learning Scheme (AFLS) and a data driven method are considered. Hypotheses for each method ensuring the…

最优化与控制 · 数学 2025-05-28 Karl Kunisch , Donato Vásquez-Varas

We present differentiable predictive control (DPC), a method for learning constrained neural control policies for linear systems with probabilistic performance guarantees. We employ automatic differentiation to obtain direct policy…

系统与控制 · 电气工程与系统科学 2022-01-28 Jan Drgona , Aaron Tuor , Draguna Vrabie

Flow $Q$-learning has recently been introduced to integrate learning from expert demonstrations into an actor-critic structure. Central to this innovation is the ``the one-step policy'' network, which is optimized through a $Q$-function…

系统与控制 · 电气工程与系统科学 2025-11-17 Farnaz Adib Yaghmaie , Arunava Naha

We propose and analyze a stabilizing iteration scheme for the algorithmic implementation of model predictive control for linear discrete-time systems. Polytopic input and state constraints are considered and handled by means of so-called…

最优化与控制 · 数学 2016-04-07 Christian Feller , Christian Ebenbauer

Policy iteration is one of the classical frameworks of reinforcement learning, which requires a known initial stabilizing control. However, finding the initial stabilizing control depends on the known system model. To relax this requirement…

系统与控制 · 电气工程与系统科学 2025-03-20 Dongdong Li , Jiuxiang Dong

We consider the problem of reinforcement learning when provided with (1) a baseline control policy and (2) a set of constraints that the learner must satisfy. The baseline policy can arise from demonstration data or a teacher agent and may…

机器学习 · 计算机科学 2021-07-13 Tsung-Yen Yang , Justinian Rosca , Karthik Narasimhan , Peter J. Ramadge

The convergence of policy gradient algorithms in reinforcement learning hinges on the optimization landscape of the underlying optimal control problem. Theoretical insights into these algorithms can often be acquired from analyzing those of…

机器学习 · 计算机科学 2023-11-01 Jingliang Duan , Wenhan Cao , Yang Zheng , Lin Zhao

A promising approach to optimal control of nonlinear systems involves iteratively linearizing the system and solving an optimization problem at each time instant to determine the optimal control input. Since this approach relies on online…

最优化与控制 · 数学 2025-01-30 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Quantum control is concerned with the realisation of desired dynamics in quantum systems, serving as a linchpin for advancing quantum technologies and fundamental research. Analytic approaches and standard optimisation algorithms do not…

量子物理 · 物理学 2025-05-29 Jan Ole Ernst , Aniket Chatterjee , Tim Franzmeyer , Axel Kuhn

Policy gradient methods, which have been extensively studied in the last decade, offer an effective and efficient framework for reinforcement learning problems. However, their performances can often be unsatisfactory, suffering from…

机器学习 · 计算机科学 2026-01-27 Shihab Ahmed , El Houcine Bergou , Aritra Dutta , Yue Wang

The real power of artificial intelligence appears in reinforcement learning, which is computationally and physically more sophisticated due to its dynamic nature. Rotation and injection are some of the proven ways in active flow control for…

流体动力学 · 物理学 2024-01-02 Kamyar Dobakhti , Jafar Ghazanfarian

Soft robotic manipulators offer operational advantage due to their compliant and deformable structures. However, their inherently nonlinear dynamics presents substantial challenges. Traditional analytical methods often depend on simplifying…

机器人学 · 计算机科学 2024-10-28 Uljad Berdica , Matthew Jackson , Niccolò Enrico Veronese , Jakob Foerster , Perla Maiolino

In this paper, a novel robust tracking control scheme for a general class of discrete-time nonlinear systems affected by unknown bounded uncertainty is presented. By solving a parameterized optimal tracking control problem subject to the…

系统与控制 · 电气工程与系统科学 2023-12-08 Alexandros Tanzanakis , John Lygeros

Despite the numerous advances, reinforcement learning remains away from widespread acceptance for autonomous controller design as compared to classical methods due to lack of ability to effectively tackle the reality gap. The reliance on…

机器学习 · 计算机科学 2024-09-23 Narendra Patwardhan , Zequn Wang

In this work, we are interested in the transient dynamics of a fluid configuration consisting of three fixed cylinders whose axes distribute over an equilateral triangle in transverse flow << fluidic pinball >>. As the Reynolds number is…

This paper proposes a control strategy consisting of a robust controller and an Echo State Network (ESN) based control law for stabilizing a class of uncertain nonlinear discrete-time systems subject to persistent disturbances. Firstly, the…

系统与控制 · 电气工程与系统科学 2024-10-31 A. Banderchuk , D. Coutinho , E. Camponogara

A stochastic optimal control problem for incompressible Newtonian channel flow past a circular cylinder is used as a prototype optimal control problem for the stochastic Navier-Stokes equations. The inlet flow and the rotation speed of the…

最优化与控制 · 数学 2024-03-13 Liuhong Chen , Ju Ming , Max D. Gunzburger