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This work addresses stochastic optimal control problems where the unknown state evolves in continuous time while partial, noisy, and possibly controllable measurements are only available in discrete time. We develop a framework for…

Optimization and Control · Mathematics 2025-08-19 Christian Bayer , Boualem Djehiche , Eliza Rezvanova , Raul Fidel Tempone

In this paper, we consider the closed-loop control problem of nonlinear robotic systems in the presence of probabilistic uncertainties and disturbances. More precisely, we design a state feedback controller that minimizes deviations of the…

Robotics · Computer Science 2023-08-15 Weiqiao Han , Ashkan Jasour , Brian Williams

This paper is concerned with the design of control policies from example datasets. The case considered is when just a black box description of the system to be controlled is available and the system is affected by actuation constraints.…

Optimization and Control · Mathematics 2022-01-11 Davide Gagliardi , Giovanni Russo

In the past few decades, the development of fluorescent technologies and microscopic techniques has greatly improved scientists' ability to observe real-time single-cell activities. In this paper, we consider the filtering problem associate…

Quantitative Methods · Quantitative Biology 2022-07-27 Zhou Fang , Ankit Gupta , Mustafa Khammash

A fundamental concept in control theory is that of controllability, where any system state can be reached through an appropriate choice of control inputs. Indeed, a large body of classical and modern approaches are designed for controllable…

Optimization and Control · Mathematics 2022-06-13 Yonathan Efroni , Sham Kakade , Akshay Krishnamurthy , Cyril Zhang

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…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Tochukwu Elijah Ogri , S. M. Nahid Mahmud , Zachary I. Bell , Rushikesh Kamalapurkar

We propose a framework for synthesizing a feedback control policy that maximizes the region of attraction (ROA) of a closed-loop nonlinear dynamical system. Our synthesis technique relies on stochastic optimization, which involves…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Ayan Chakraborty , Indranil Saha

Data-driven controllers design is an important research problem, in particular when data is corrupted by the noise. In this paper, we propose a data-driven min-max model predictive control (MPC) scheme using noisy input-state data for…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Yifan Xie , Julian Berberich , Frank Allgöwer

Dynamic surface control (DSC) method uses high gain filters to avoid the "explosion of complexity" issue inherent in backstepping based controller designs. As a result, the closed loop system and filter dynamics possess time scale…

Systems and Control · Computer Science 2015-11-03 M M Rayguru , I N kar

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…

Optimization and Control · Mathematics 2025-05-28 Karl Kunisch , Donato Vásquez-Varas

In this work, we develop and analyze adaptive feedback control strategies to stabilize and confine a nanoparticle at the unstable intensity minimum of an optical double-well potential. The resulting stochastic optimal control problem for a…

Feedback optimisation is an emerging technique aiming at steering a system to an optimal steady state for a given objective function. We show that it is possible to employ this control strategy in a distributed manner. Moreover, we prove…

Optimization and Control · Mathematics 2022-03-01 Antonio Terpin , Sylvain Fricker , Michel Perez , Mathias Hudoba de Badyn , Florian Dörfler

Feedback particle filter (FPF) is an algorithm to numerically approximate the solution of the nonlinear filtering problem in continuous time. The algorithm implements a feedback control law for a system of particles such that the empirical…

Probability · Mathematics 2015-10-08 Amirhossein Taghvaei , Prashant G. Mehta

Model-free or learning-based control, in particular, reinforcement learning (RL), is expected to be applied for complex robotic tasks. Traditional RL requires a policy to be optimized is state-dependent, that means, the policy is a kind of…

Machine Learning · Computer Science 2022-08-09 Taisuke Kobayashi , Kenta Yoshizawa

Adaptive dynamical systems arise in a multitude of contexts, e.g., optimization, control, communications, signal processing, and machine learning. A precise characterization of their fundamental limitations is therefore of paramount…

Information Theory · Computer Science 2010-10-13 Maxim Raginsky

We introduce a new method for online parameter estimation in stochastic interacting particle systems, based on continuous observation of a small number of particles from the system. Our method recursively updates the model parameters using…

Statistics Theory · Mathematics 2026-02-25 Louis Sharrock , Nikolas Kantas , Grigorios A. Pavliotis

This paper presents state estimation and stochastic optimal control gathered in one global optimization problem generating dual effect i.e. the control can improve the future estimation. As the optimal policy is impossible to compute, a…

Optimization and Control · Mathematics 2023-03-27 Emilien Flayac , Karim Dahia , Bruno Hérissé , Frédéric Jean

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

Optimization and Control · Mathematics 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

We design receding horizon control strategies for stochastic discrete-time linear systems with additive (possibly) unbounded disturbances, while obeying hard bounds on the control inputs. We pose the problem of selecting an appropriate…

Optimization and Control · Mathematics 2011-07-07 Debasish Chatterjee , Peter Hokayem , John Lygeros