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Encoding a sequence of observations is an essential task with many applications. The encoding can become highly efficient when the observations are generated by a dynamical system. A dynamical system imposes regularities on the observations…

Machine Learning · Statistics 2018-05-29 Arash Mehrjou , Friedrich Solowjow , Sebastian Trimpe , Bernhard Schölkopf

Controlling continuous-time dynamical systems is generally a two step process: first, identify or model the system dynamics with differential equations, then, minimize the control objectives to achieve optimal control function and optimal…

Artificial Intelligence · Computer Science 2024-04-23 Cheng Chi

In this paper we We propose GoPRONTO, a first-order, feedback-based approach to solve nonlinear discrete-time optimal control problems. This method is a generalized first-order framework based on incorporating the original dynamics into a…

Optimization and Control · Mathematics 2023-08-22 Lorenzo Sforni , Sara Spedicato , Ivano Notarnicola , Giuseppe Notarstefano

This paper proposes a stochastic model predictive control method for linear systems affected by additive Gaussian disturbances that optimizes over disturbance feedback matrices online. Closed-loop satisfaction of probabilistic constraints…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Marcell Bartos , Alexandre Didier , Jerome Sieber , Johannes Köhler , Melanie N. Zeilinger

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 work presents a scalable control framework based on nonlinear Model Predictive Control for high-dimensional dynamical systems. The proposed approach addresses the key challenges of model scalability and partial observability by…

A high-ranking goal of interdisciplinary modeling approaches in the natural sciences are quantitative prediction of system dynamics and model based optimization. For this purpose, mathematical modeling, numerical simulation and scientific…

Optimization and Control · Mathematics 2015-03-17 Dominik Skanda , Dirk Lebiedz

The objective of designing a control system is to steer a dynamical system with a control signal, guiding it to exhibit the desired behavior. The Hamilton-Jacobi-Bellman (HJB) partial differential equation offers a framework for optimal…

Machine Learning · Computer Science 2025-10-22 Jostein Barry-Straume , Adwait D. Verulkar , Arash Sarshar , Andrey A. Popov , Adrian Sandu

The paper presents a data-driven predictive control framework based on an implicit input-output mapping derived directly from the signal matrix of collected data. This signal matrix model is derived by maximum likelihood estimation with…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Mingzhou Yin , Andrea Iannelli , Roy S. Smith

This paper presents a joint optimisation framework for optimal estimation and stochastic optimal control with imperfect information. It provides a estimation and control scheme that can be decomposed into a classical optimal estimation step…

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

This paper studies the stochastic optimal control problem for systems with unknown dynamics. A novel decoupled data based control (D2C) approach is proposed, which solves the problem in a decoupled "open loop-closed loop" fashion that is…

Systems and Control · Computer Science 2018-09-11 Dan Yu , Mohammandhussen Rafieisakhaei , Suman Chakravorty

Most recent advances in machine learning and analytics for process control pose the question of how to naturally integrate new data-driven methods with classical process models and control. We propose a process modeling framework enabling…

Neural and Evolutionary Computing · Computer Science 2025-08-08 Michael R. Wartmann , B. Erik Ydstie

We propose a data-driven tracking model predictive control (MPC) scheme to control unknown discrete-time linear time-invariant systems. The scheme uses a purely data-driven system parametrization to predict future trajectories based on…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Agents acting in the natural world aim at selecting appropriate actions based on noisy and partial sensory observations. Many behaviors leading to decision mak- ing and action selection in a closed loop setting are naturally phrased within…

Machine Learning · Statistics 2014-06-30 Alex Susemihl , Ron Meir , Manfred Opper

A syntactic model is presented for the specification of finite-state synchronous digital logic systems with complex input/output interfaces, which control the flow of data between opaque computational elements, and for the composition of…

Logic in Computer Science · Computer Science 2023-02-02 Nick Mertin , K. Ritsuka , Karen Rudie

Extracting physical laws from observation data is a central challenge in many diverse areas of science and engineering. We propose Optimal Control Neural Networks (OCN) to learn the laws of vector fields in dynamical systems, with no…

Dynamical Systems · Mathematics 2023-12-05 Xuping Tian , Baskar Ganapathysubramanian , Hailiang Liu

Current and future high-contrast imaging instruments require extreme adaptive optics (XAO) systems to reach contrasts necessary to directly image exoplanets. Telescope vibrations and the temporal error induced by the latency of the control…

Instrumentation and Methods for Astrophysics · Physics 2021-08-26 Rico Landman , Sebastiaan Y. Haffert , Vikram M. Radhakrishnan , Christoph U. Keller

Robust model predictive control algorithms are essential for addressing unavoidable errors due to the uncertainty in predicting real-world systems. However, the formulation of such algorithms typically results in a trade-off between…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Moritz Heinlein , Sankaranarayanan Subramanian , Sergio Lucia

This paper considers the optimal control for hybrid systems whose trajectories transition between distinct subsystems when state-dependent constraints are satisfied. Though this class of systems is useful while modeling a variety of…

Optimization and Control · Mathematics 2018-03-21 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems. The scheme uses a non-parametric predictive model based only on input and noisy…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller
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