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Related papers: Funnel Control for Langevin Dynamics

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This paper aims to synthesize a reachability controller for an unknown dynamical system. We first learn the unknown system using Gaussian processes and the (probabilistic) guarantee on the learned model. Then we use the funnel-based…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Sandeep Gorantla , Jeel Chatrola , Jay Bhagiya , Adnane Saoud , Pushpak Jagtap

This paper presents a prescribed performance-based tracking control strategy for the atmospheric reentry flight of space vehicles subject to rapid maneuvers during flight mission. A time-triggered non-monotonic performance funnel is…

Optimization and Control · Mathematics 2023-08-02 Zongyi Guo , Xiyu Gu , Yonglin Han , Jianguo Guo , Thomas Berger

This article is concerned with stochastic control problems for backward doubly stochastic differential equations of mean-field type, where the coefficient functions depend on the joint distribution of the state process and the control…

Probability · Mathematics 2022-05-26 Jian Song , Meng Wang

With the advantages of high modeling accuracy and large bandwidth, recurrent neural network (RNN) based inversion model control has been proposed for output tracking. However, some issues still need to be addressed when using the RNN-based…

Systems and Control · Electrical Eng. & Systems 2020-01-03 Shengwen Xie , Juan Ren

We study the convergence to equilibrium of an underdamped Langevin equation that is controlled by a linear feedback force. Specifically, we are interested in sampling the possibly multimodal invariant probability distribution of a Langevin…

Optimization and Control · Mathematics 2022-01-12 Tobias Breiten , Carsten Hartmann , Lara Neureither , Upanshu Sharma

Current engineering design trends, such as light-weight machines and humanmachine-interaction, often lead to underactuated systems. Output trajectory tracking of such systems is a challenging control problem. Here, we use a twodesign-degree…

Optimization and Control · Mathematics 2023-12-08 Svenja Drücker , Lukas Lanza , Thomas Berger , Timo Reis , Robert Seifried

In this paper we formulate a risk-sensitive optimal control problem for continuously monitored open quantum systems modelled by quantum Langevin equations. The optimal controller is expressed in terms of a modified conditional state, which…

Quantum Physics · Physics 2016-09-08 M. R. James

We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop…

Optimization and Control · Mathematics 2022-03-09 Marc Puche , Timo Reis , Felix Schwenninger

Using a projection-based decoupling of the Fokker-Planck equation, control strategies that allow to speed up the convergence to the stationary distribution are investigated. By means of an operator theoretic framework for a bilinear control…

Optimization and Control · Mathematics 2017-07-25 Tobias Breiten , Karl Kunisch , Laurent Pfeiffer

This paper presents a strictly convex chance-constrained stochastic control framework that accounts for uncertainty in control specifications such as reference trajectories and operational constraints. By jointly optimizing control inputs…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Teruki Kato , Ryotaro Shima , Kenji Kashima

We consider the problem of vehicle following, where a safety distance to the leader vehicle is guaranteed at all times and a favourite velocity is reached as far as possible. We introduce the funnel cruise controller as a novel universal…

Optimization and Control · Mathematics 2019-07-10 Thomas Berger , Anna-Lena Rauert

We exploit an adaptive control technique, namely funnel control, in order to establish both initial and recursive feasibility in Model Predictive Control (MPC) for output-constrained nonlinear systems. Moreover, we show that the resulting…

Optimization and Control · Mathematics 2019-12-05 Thomas Berger , Carolin Kästner , Karl Worthmann

The scaling of the mobility of two-dimensional Langevin dynamics in a periodic potential as the friction vanishes is not well understood for non-separable potentials. Theoretical results are lacking, and numerical calculation of the…

Mathematical Physics · Physics 2022-06-22 G. A. Pavliotis , G. Stoltz , U. Vaes

In this paper, we establish a general stochastic maximum principle for optimal control for systems described by a continuous-time Markov regime-switching stochastic recursive utilities model. The control domain is postulated not to be…

Optimization and Control · Mathematics 2019-05-02 Liangquan Zhang , Xun Li

The main objective of this paper is the construction of the solution of an impulsive stochastic differential equation, subject to control conditions in the pulse-times and give sufficient conditions for them to be random variables with…

Probability · Mathematics 2015-08-24 Ricardo Castro Santis

In [5], we have designed impulsive and feedback controls for harmonic chains with a point thermostat. In this work, we study the internal control for stochastic lattice dynamics, with the goal of controlling the transition kernel of the…

Optimization and Control · Mathematics 2024-10-02 Amirali Hannani , Minh-Nhat Phung , Minh-Binh Tran , Emmanuel Trélat

The purpose of this paper is to examine the Lagrangian stochastic modeling of the fluid velocity seen by inertial particles in a nonhomogeneous turbulent flow. A new Langevin-type model, compatible with the transport equation of the drift…

Fluid Dynamics · Physics 2009-07-01 Boris Arcen , Anne Tanière

Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask…

Statistical Mechanics · Physics 2025-01-15 Dario Lucente , Alessandro Manacorda , Andrea Plati , Alessandro Sarracino , Marco Baldovin

Electric throttle valves represent a challenge for control design, as their dynamics involve strong nonlinearities, characterized by an asymmetric hysteresis. Carrying experiments on multiple valves, a large variability in the…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Emmanuel Witrant , Ioan DorÉ Landau , Marie-Pierre Vaillant

Microfluidics, the study of fluids in microscopic channels, has led to important advances in fields as diverse as microelectronics, biotechnology and chemistry. Microfluidic research is primarily based on the use of microfluidic chips,…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Jorge Vicente Martinez , Edgar Ramirez-Laboreo , Pablo Calderon Gil