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We address the problem of learning to control an unknown nonlinear dynamical system through sequential interactions. Motivated by high-stakes applications in which mistakes can be catastrophic, such as robotics and healthcare, we study…

Machine Learning · Computer Science 2025-04-14 James Wang , Bruce D. Lee , Ingvar Ziemann , Nikolai Matni

This paper considers the problem of determining an optimal control action based on observed data. We formulate the problem assuming that the system can be modelled by a nonlinear state-space model, but where the model parameters, state and…

Optimization and Control · Mathematics 2021-07-02 Johannes N. Hendriks , James R. Z. Holdsworth , Adrian G. Wills , Thomas B. Schon , Brett Ninness

We propose a data-driven online convex optimization algorithm for controlling dynamical systems. In particular, the control scheme makes use of an initially measured input-output trajectory and behavioral systems theory which enable it to…

Optimization and Control · Mathematics 2021-11-03 Marko Nonhoff , Matthias A. Müller

This paper is concerned with a finite-horizon inverse control problem, which has the goal of reconstructing, from observations, the possibly non-convex and non-stationary cost driving the actions of an agent. In this context, we present a…

Optimization and Control · Mathematics 2024-06-27 Emiland Garrabe , Hozefa Jesawada , Carmen Del Vecchio , Giovanni Russo

We consider the online control problem with an unknown linear dynamical system in the presence of adversarial perturbations and adversarial convex loss functions. Although the problem is widely studied in model-based control, it remains…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Zishun Liu , Yongxin Chen

This work presents DMPC (Data-and Model-Driven Predictive Control) to solve control problems in which some of the constraints or parts of the objective function are known, while others are entirely unknown to the controller. It is assumed…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Hassan Jafarzadeh , Cody Fleming

We consider the problem of controlling a possibly unknown linear dynamical system with adversarial perturbations, adversarially chosen convex loss functions, and partially observed states, known as non-stochastic control. We introduce a…

Machine Learning · Computer Science 2020-06-26 Max Simchowitz , Karan Singh , Elad Hazan

The need for fast and robust optimization algorithms are of critical importance in all areas of machine learning. This paper treats the task of designing optimization algorithms as an optimal control problem. Using regret as a metric for an…

Machine Learning · Computer Science 2021-01-21 Philippe Casgrain , Anastasis Kratsios

In this paper, online convex optimization is applied to the problem of controlling linear dynamical systems. An algorithm similar to online gradient descent, which can handle time-varying and unknown cost functions, is proposed. Then,…

Optimization and Control · Mathematics 2021-11-03 Marko Nonhoff , Matthias A. Müller

We study the problem of optimal state-feedback tracking control for unknown discrete-time deterministic systems with input constraints. To handle input constraints, state-of-art methods utilize a certain nonquadratic stage cost function,…

Systems and Control · Electrical Eng. & Systems 2020-12-09 Alexandros Tanzanakis , John Lygeros

This paper proposes a data-driven framework to solve time-varying optimization problems associated with unknown linear dynamical systems. Making online control decisions to regulate a dynamical system to the solution of an optimization…

Optimization and Control · Mathematics 2021-09-08 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

We address the design and synthesis of optimal control strategies for high-dimensional stochastic dynamical systems. Such systems may be deterministic nonlinear systems evolving from random initial states, or systems driven by random…

Numerical Analysis · Mathematics 2020-08-26 Panos Lambrianides , Qi Gong , Daniele Venturi

We present safe control of partially-observed linear time-varying systems in the presence of unknown and unpredictable process and measurement noise. We introduce a control algorithm that minimizes dynamic regret, i.e., that minimizes the…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Hongyu Zhou , Vasileios Tzoumas

We study the problem of controlling a linear dynamical system with adversarial perturbations where the only feedback available to the controller is the scalar loss, and the loss function itself is unknown. For this problem, with either a…

Machine Learning · Computer Science 2020-08-14 Paula Gradu , John Hallman , Elad Hazan

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

Machine Learning · Computer Science 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

Most modern reinforcement learning algorithms optimize a cumulative single-step cost along a trajectory. The optimized motions are often 'unnatural', representing, for example, behaviors with sudden accelerations that waste energy and lack…

Machine Learning · Computer Science 2024-07-03 Motoya Ohnishi , Isao Ishikawa , Kendall Lowrey , Masahiro Ikeda , Sham Kakade , Yoshinobu Kawahara

Modern unmanned systems, including aerial, terrestrial, and underwater vehicles, are increasingly utilized in dynamic and unpredictable environments, where the presence of modeling uncertainties necessitates the development of robust and…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Maryam Norouzi , Mingxi Zhou , Chengzhi Yuan

We consider control of uncertain linear time-varying stochastic systems from the perspective of regret minimization. Specifically, we focus on the problem of designing a feedback controller that minimizes the loss relative to a clairvoyant…

Systems and Control · Electrical Eng. & Systems 2024-07-04 Andrea Martin , Luca Furieri , Florian Dörfler , John Lygeros , Giancarlo Ferrari-Trecate

We present an iterative approach for planning and controlling motions of underactuated robots with uncertain dynamics. At its core, there is a learning process which estimates the perturbations induced by the model uncertainty on the active…

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

Optimization and Control · Mathematics 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese