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We investigate the important problem of certifying stability of reinforcement learning policies when interconnected with nonlinear dynamical systems. We show that by regulating the input-output gradients of policies, strong guarantees of…

Systems and Control · Computer Science 2018-10-30 Ming Jin , Javad Lavaei

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…

Machine Learning · Computer Science 2022-03-10 Yikun Cheng , Pan Zhao , Manan Gandhi , Bo Li , Evangelos Theodorou , Naira Hovakimyan

Stability is a basic requirement when studying the behavior of dynamical systems. However, stabilizing dynamical systems via reinforcement learning is challenging because only little data can be collected over short time horizons before…

Optimization and Control · Mathematics 2024-11-01 Steffen W. R. Werner , Benjamin Peherstorfer

A reinforcement learning (RL) control policy could fail in a new/perturbed environment that is different from the training environment, due to the presence of dynamic variations. For controlling systems with continuous state and action…

Robotics · Computer Science 2022-08-31 Y. Cheng , P. Zhao , F. Wang , D. J. Block , N. Hovakimyan

Designing a stabilizing controller for nonlinear systems is a challenging task, especially for high-dimensional problems with unknown dynamics. Traditional reinforcement learning algorithms applied to stabilization tasks tend to drive the…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Thanin Quartz , Ruikun Zhou , Hans De Sterck , Jun Liu

Reinforcement learning has been successfully applied to the problem of tuning PID controllers in several applications. The existing methods often utilize function approximation, such as neural networks, to update the controller parameters…

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…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Lukas Beckenbach , Pavel Osinenko , Stefan Streif

In this paper, we present a mesh-based approach to analyze stability and robustness of the policies obtained via deep reinforcement learning for various biped gaits of a five-link planar model. Intuitively, one would expect that including…

Robotics · Computer Science 2019-11-05 Nihar Talele , Katie Byl

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…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Dongdong Li , Jiuxiang Dong

To provide safety guarantees for learning-based control systems, recent work has developed formal verification methods to apply after training ends. However, if the trained policy does not meet the specifications, or there is conservatism…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Puja Chaudhury , Alexander Estornell , Michael Everett

We introduce the framework of performative reinforcement learning where the policy chosen by the learner affects the underlying reward and transition dynamics of the environment. Following the recent literature on performative…

Machine Learning · Computer Science 2023-06-08 Debmalya Mandal , Stelios Triantafyllou , Goran Radanovic

When learning behavior, training data is often generated by the learner itself; this can result in unstable training dynamics, and this problem has particularly important applications in safety-sensitive real-world control tasks such as…

Machine Learning · Computer Science 2019-10-10 Vibhavari Dasagi , Jake Bruce , Thierry Peynot , Jürgen Leitner

In this article, two types of methods from different perspectives based on spectral normalization are described for ensuring the stability of the system controlled by a neural network. The first one is that the L2 gain of the feedback…

Artificial Intelligence · Computer Science 2020-12-29 Ryoichi Takase , Nobuyuki Yoshikawa , Toshisada Mariyama , Takeshi Tsuchiya

Quadrotor stabilizing controllers often require careful, model-specific tuning for safe operation. We use reinforcement learning to train policies in simulation that transfer remarkably well to multiple different physical quadrotors. Our…

Robotics · Computer Science 2019-04-17 Artem Molchanov , Tao Chen , Wolfgang Hönig , James A. Preiss , Nora Ayanian , Gaurav S. Sukhatme

Quadratic programming is a workhorse of modern nonlinear optimization, control, and data science. Although regularized methods offer convergence guarantees under minimal assumptions on the problem data, they can exhibit the slow…

Optimization and Control · Mathematics 2026-05-18 Jeremy Bertoncini , Alberto De Marchi , Matthias Gerdts , Simon Gottschalk

In this work, we study model-based reinforcement learning (RL) in unknown stabilizable linear dynamical systems. When learning a dynamical system, one needs to stabilize the unknown dynamics in order to avoid system blow-ups. We propose an…

Machine Learning · Computer Science 2022-06-06 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

This paper studies satisfaction of temporal properties on unknown stochastic processes that have continuous state spaces. We show how reinforcement learning (RL) can be applied for computing policies that are finite-memory and deterministic…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Milad Kazemi , Sadegh Soudjani

Developing robust walking controllers for bipedal robots is a challenging endeavor. Traditional model-based locomotion controllers require simplifying assumptions and careful modelling; any small errors can result in unstable control. To…

Robotics · Computer Science 2021-03-29 Zhongyu Li , Xuxin Cheng , Xue Bin Peng , Pieter Abbeel , Sergey Levine , Glen Berseth , Koushil Sreenath

Reinforcement learning has emerged as a promising methodology for training robot controllers. However, most results have been limited to simulation due to the need for a large number of samples and the lack of automated-yet-safe data…

Robotics · Computer Science 2018-03-29 Kendall Lowrey , Svetoslav Kolev , Jeremy Dao , Aravind Rajeswaran , Emanuel Todorov

Stateful policies play an important role in reinforcement learning, such as handling partially observable environments, enhancing robustness, or imposing an inductive bias directly into the policy structure. The conventional method for…

Machine Learning · Computer Science 2023-11-08 Firas Al-Hafez , Guoping Zhao , Jan Peters , Davide Tateo
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