Search Results for author: Timm Faulwasser

Found 16 papers, 2 papers with code

Exploring the Links between the Fundamental Lemma and Kernel Regression

no code implementations8 Mar 2024 Oleksii Molodchyk, Timm Faulwasser

Generalizations and variations of the fundamental lemma by Willems et al. are an active topic of recent research.

LEMMA regression

The Dynamics of a Bicycle on a Pump Track -- First Results on Modeling and Optimal Control

no code implementations13 Nov 2023 Julian Golembiewski, Marcus Schmidt, Benedikt Terschluse, Thomas Jaitner, Thomas Liebig, Timm Faulwasser

We investigate the dynamics of a bicycle on an uneven mountain bike track split into straight sections with small jumps (kickers) and banked corners.

Distributionally robust uncertainty quantification via data-driven stochastic optimal control

no code implementations4 Jun 2023 Guanru Pan, Timm Faulwasser

This paper studies optimal control problems of unknown linear systems subject to stochastic disturbances of uncertain distribution.

LEMMA Uncertainty Quantification

Quantized Deep Path-following Control on a Microcontroller

no code implementations27 Jan 2023 Pablo Zometa, Timm Faulwasser

Model predictive Path-Following Control (MPFC) is a viable option for motion systems in many application domains.

Quantization

Towards data-driven stochastic predictive control

no code implementations20 Dec 2022 Guanru Pan, Ruchuan Ou, Timm Faulwasser

Data-driven predictive control based on the fundamental lemma by Willems et al. is frequently considered for deterministic LTI systems subject to measurement noise.

LEMMA

Data-driven Stochastic Output-Feedback Predictive Control: Recursive Feasibility through Interpolated Initial Conditions

no code implementations15 Dec 2022 Guanru Pan, Ruchuan Ou, Timm Faulwasser

The stochastic variant of the lemma is applicable to a large class of linear dynamics subject to stochastic disturbances of Gaussian and non-Gaussian nature.

LEMMA

On Data-Driven Stochastic Output-Feedback Predictive Control

no code implementations30 Nov 2022 Guanru Pan, Ruchuan Ou, Timm Faulwasser

Building on a stochastic variant of the fundamental lemma, this paper presents a data-driven output-feedback predictive control scheme for stochastic Linear Time-Invariant (LTI) systems.

LEMMA

Approximations for Optimal Experimental Design in Power System Parameter Estimation

no code implementations26 Mar 2022 Xu Du, Alexander Engelmann, Timm Faulwasser, Boris Houska

This paper is about computationally tractable methods for power system parameter estimation and Optimal Experiment Design (OED).

Experimental Design

On a Stochastic Fundamental Lemma and Its Use for Data-Driven Optimal Control

no code implementations26 Nov 2021 Guanru Pan, Ruchuan Ou, Timm Faulwasser

Data-driven control based on the fundamental lemma by Willems et al. is frequently considered for deterministic LTI systems subject to measurement noise.

LEMMA

Essentially Decentralized Conjugate Gradients

no code implementations24 Feb 2021 Alexander Engelmann, Timm Faulwasser

Solving structured systems of linear equations in a non-centralized fashion is an important step in many distributed optimization and control algorithms.

Distributed Optimization Optimization and Control Systems and Control Systems and Control

On the Turnpike to Design of Deep Neural Nets: Explicit Depth Bounds

no code implementations8 Jan 2021 Timm Faulwasser, Arne-Jens Hempel, Stefan Streif

It is well-known that the training of Deep Neural Networks (DNN) can be formalized in the language of optimal control.

Turnpike Properties in Optimal Control: An Overview of Discrete-Time and Continuous-Time Results

no code implementations27 Nov 2020 Timm Faulwasser, Lars Grüne

The turnpike property refers to the phenomenon that in many optimal control problems, the solutions for different initial conditions and varying horizons approach a neighborhood of a specific steady state, then stay in this neighborhood for the major part of the time horizon, until they may finally depart.

Optimization and Control Systems and Control Systems and Control

Online power system parameter estimation and optimal operation

no code implementations8 Nov 2020 Xu Du, Alexander Engelmann, Timm Faulwasser, Boris Houska

The integration of renewables into electrical grids calls for optimization-based control schemes requiring reliable grid models.

ALADIN-$α$ -- An open-source MATLAB toolbox for distributed non-convex optimization

no code implementations2 Jun 2020 Alexander Engelmann, Yuning Jiang, Henrieke Benner, Ruchuan Ou, Boris Houska, Timm Faulwasser

This paper introduces an open-source software for distributed and decentralized non-convex optimization named ALADIN-$\alpha$.

Distributed Optimization

PolyChaos.jl -- A Julia Package for Polynomial Chaos in Systems and Control

1 code implementation8 Apr 2020 Tillmann Mühlpfordt, Frederik Zahn, Veit Hagenmeyer, Timm Faulwasser

With PolyChaos we provide a Julia software package that delivers the desired functionality: given a probability density function, PolyChaos offers several numerical routines to construct the respective orthogonal polynomials, and the quadrature rules together with tensorized scalar products.

Systems and Control Numerical Analysis Systems and Control Numerical Analysis Optimization and Control

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