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This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

Robotics · Computer Science 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

Optimal control problems driven by evolutionary partial differential equations arise in many industrial applications and their numerical solution is known to be a challenging problem. One approach to obtain an optimal feedback control is…

Numerical Analysis · Mathematics 2023-05-16 Gerhard Kirsten , Luca Saluzzi

This paper investigates adaptive control of nonlinear robot manipulators with parametric uncertainty. Motivated by generating closed-loop robot dynamics with enhanced transmission capability of a reference torque and with connection to…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Hanlei Wang

Differential Dynamic Programming is an optimal control technique often used for trajectory generation. Many variations of this algorithm have been developed in the literature, including algorithms for stochastic dynamics or state and input…

Optimization and Control · Mathematics 2022-05-26 Dennis Gramlich , Carsten W. Scherer , Christian Ebenbauer

This paper studies optimal control problems of unknown linear systems subject to stochastic disturbances of uncertain distribution. Uncertainty about the stochastic disturbances is usually described via ambiguity sets of probability…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Guanru Pan , Timm Faulwasser

Bioprocesses are often characterised by nonlinear and uncertain dynamics, posing particular challenges for model predictive control (MPC) algorithms due to their computational demands when applied to nonlinear systems. Recent advances in…

Optimization and Control · Mathematics 2025-02-05 Niels Krausch , Martin Doff-Sotta , Mark Cannon , Peter Neubauer , Mariano Nicolas Cruz Bournazou

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

Machine Learning · Computer Science 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

We propose a fundamental-lemma-free data-driven predictive control (DDPC) scheme for synthesizing model predictive control (MPC)-like policies directly from input-output data. Unlike the well-known DeePC approach and other DDPC methods that…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Aihui Liu , Magnus Jansson

Many real-world systems often involve physical components or operating environments with highly nonlinear and uncertain dynamics. A number of different control algorithms can be used to design optimal controllers for such systems, assuming…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Navid Hashemi , Justin Ruths , Jyotirmoy V. Deshmukh

We propose a new method for the problem of controlling linear dynamical systems under partial observation and adversarial disturbances. Our new algorithm, Double Spectral Control (DSC), matches the best known regret guarantees while…

Machine Learning · Computer Science 2025-05-28 Anand Brahmbhatt , Gon Buzaglo , Sofiia Druchyna , Elad Hazan

Data-enabled predictive control (DeePC) has emerged as a powerful technique to control complex systems without the need for extensive modeling efforts. However, relying solely on offline collected data trajectories to represent the system…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Sebastian Zieglmeier , Mathias Hudoba de Badyn , Narada D. Warakagoda , Thomas R. Krogstad , Paal Engelstad

Approximate dynamic programming has been investigated and used as a method to approximately solve optimal regulation problems. However, the extension of this technique to optimal tracking problems for continuous time nonlinear systems has…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Shubhendu Bhasin , Warren Dixon

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

Optimization and Control · Mathematics 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

We study the relationship between disturbance decoupling (DD) and H2 optimal control for linear time-invariant (LTI) systems, revealing a fundamental gap between DD subspace constraints and semi-definite program (SDP)-based H2 minimization.…

Optimization and Control · Mathematics 2026-03-24 Ruirui Ma , Sarah H. Q. Li

This paper considers the problem of regulating a linear dynamical system to the solution of a convex optimization problem with an unknown or partially-known cost. We design a data-driven feedback controller - based on gradient flow dynamics…

Optimization and Control · Mathematics 2022-04-05 Liliaokeawawa Cothren , Gianluca Bianchin , Emiliano Dall'Anese

High-fidelity control of quantum systems is crucial for quantum information processing, but is often limited by perturbations from the environment and imperfections in the applied control fields. Here, we investigate the combination of…

Quantum Physics · Physics 2021-01-12 Xiaodong Yang , Yunrui Ge , Bo Zhang , Jun Li

An important question in data-driven control is how to obtain an informative dataset. In this work, we consider the problem of effective data acquisition of an unknown linear system with bounded disturbance for both open-loop and…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Shilun Feng , Dawei Shi , Yang Shi , Kaikai Zheng

We present a three-step method to perform system identification and optimal control of non-linear systems. Our approach is mainly data driven and does not require active excitation of the system to perform system identification. In…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Baptiste Schubnel , Rafael E. Carrillo , Pierre-Jean Alet , Andreas Hutter

Reinforcement learning (RL) is currently one of the most prominent methods for optimizing dynamical systems, with breakthrough results across various fields. The framework is based on the concept of a Markov decision process (MDP), leading…

Optimization and Control · Mathematics 2025-11-17 Rene Carmona , Mathieu Lauriere

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