Search Results for author: Matthias A. Müller

Found 48 papers, 0 papers with code

Disturbance feedback-based model predictive control in uncertain dynamic environments

no code implementations15 Apr 2024 Philipp Buschermöhle, Taouba Jouini, Torsten Lilge, Matthias A. Müller

This paper presents a robust MPC scheme for linear systems subject to time-varying, uncertain constraints that arise from uncertain environments.

Model Predictive Control

Moving horizon estimation for nonlinear systems with time-varying parameters

no code implementations15 Apr 2024 Julian D. Schiller, Matthias A. Müller

We consider the case where observability of the parameters depends on the excitation of the system and may be absent during operation, with the parameter dynamics fulfilling a weak incremental bounded-energy bounded-state property to ensure boundedness of the estimation error (with respect to the disturbance energy).

valid

Data-Based Control of Continuous-Time Linear Systems with Performance Specifications

no code implementations1 Mar 2024 Victor G. Lopez, Matthias A. Müller

First, we formulate and solve a trajectory-reference control problem, on which desired closed-loop trajectories are known and a controller that allows the system to closely follow those trajectories is computed.

Gaussian Process-Based Nonlinear Moving Horizon Estimation

no code implementations7 Feb 2024 Tobias M. Wolff, Victor G. Lopez, Matthias A. Müller

On the other hand, we exploit the posterior variances of the Gaussian processes to design the weighting matrices in the MHE cost function and account for the uncertainty in the learned system dynamics.

Gaussian Processes

Online convex optimization for robust control of constrained dynamical systems

no code implementations9 Jan 2024 Marko Nonhoff, Emiliano Dall'Anese, Matthias A. Müller

This article investigates the problem of controlling linear time-invariant systems subject to time-varying and a priori unknown cost functions, state and input constraints, and exogenous disturbances.

Model Predictive Control

Sample-based nonlinear detectability for discrete-time systems

no code implementations21 Dec 2023 Isabelle Krauss, Victor G. Lopez, Matthias A. Müller

This paper introduces two sample-based formulations of incremental input/output-to-state stability (i-IOSS), a suitable detectability notion for general nonlinear systems.

Nonlinear moving horizon estimation for robust state and parameter estimation

no code implementations20 Dec 2023 Julian D. Schiller, Matthias A. Müller

We propose a moving horizon estimation scheme to estimate the states and the unknown constant parameters of general nonlinear uncertain discrete time systems.

An efficient data-based off-policy Q-learning algorithm for optimal output feedback control of linear systems

no code implementations6 Dec 2023 Mohammad Alsalti, Victor G. Lopez, Matthias A. Müller

In this paper, we present a Q-learning algorithm to solve the optimal output regulation problem for discrete-time LTI systems.

Q-Learning

Notes on data-driven output-feedback control of linear MIMO systems

no code implementations29 Nov 2023 Mohammad Alsalti, Victor G. Lopez, Matthias A. Müller

Recent works have approached the data-driven design of output-feedback controllers for discrete-time LTI systems by constructing non-minimal state vectors composed of past inputs and outputs.

Sample- and computationally efficient data-driven predictive control

no code implementations20 Sep 2023 Mohammad Alsalti, Manuel Barkey, Victor G. Lopez, Matthias A. Müller

Recently proposed data-driven predictive control schemes for LTI systems use non-parametric representations based on the image of a Hankel matrix of previously collected, persistently exciting, input-output data.

Model predictive control for the prescription of antithyroid agents

no code implementations31 Jul 2023 Maylin Menzel, Tobias M. Wolff, Johannes W. Dietrich, Matthias A. Müller

Although hyperthyroidism is a common disease, the pharmaceutical therapy is based on a trial-and-error approach.

Model Predictive Control

Data-based system representations from irregularly measured data

no code implementations21 Jul 2023 Mohammad Alsalti, Ivan Markovsky, Victor G. Lopez, Matthias A. Müller

Non-parametric representations of dynamical systems based on the image of a Hankel matrix of data are extensively used for data-driven control.

Low-Rank Matrix Completion

Robust stability of moving horizon estimation for continuous-time systems

no code implementations11 May 2023 Julian D. Schiller, Matthias A. Müller

We consider a moving horizon estimation (MHE) scheme involving a discounted least squares objective for general nonlinear continuous-time systems.

On an integral variant of incremental input/output-to-state stability and its use as a notion of nonlinear detectability

no code implementations9 May 2023 Julian D. Schiller, Matthias A. Müller

We propose a time-discounted integral variant of incremental input/output-to-state stability (i-iIOSS) together with an equivalent Lyapunov function characterization.

Distributed Model Predictive Control for Periodic Cooperation of Multi-Agent Systems

no code implementations6 Apr 2023 Matthias Köhler, Matthias A. Müller, Frank Allgöwer

We show that under suitable assumptions, the agents can incrementally move their artificial output trajectories towards the cooperative goal, and, hence, their closed-loop output trajectories asymptotically achieve it.

Model Predictive Control

An Efficient Off-Policy Reinforcement Learning Algorithm for the Continuous-Time LQR Problem

no code implementations31 Mar 2023 Victor G. Lopez, Matthias A. Müller

Moreover, we formulate the policy evaluation step as the solution of a Sylvester-transpose equation, which increases the efficiency of its solution.

reinforcement-learning

Treating Hyperthyroidism: Model Predictive Control for the Prescription of Antithyroid Agents

no code implementations20 Dec 2022 Tobias M. Wolff, Maylin Menzel, Johannes W. Dietrich, Matthias A. Müller

Instead of relying on a trial-and-error approach as it is commonly done in clinical practice, we suggest to determine the dosages by means of a model predictive control (MPC) scheme.

Model Predictive Control

Robust peak-to-peak gain analysis using integral quadratic constraints

no code implementations17 Nov 2022 Lukas Schwenkel, Johannes Köhler, Matthias A. Müller, Frank Allgöwer

This work provides a framework to compute an upper bound on the robust peak-to-peak gain of discrete-time uncertain linear systems using integral quadratic constraints (IQCs).

Online convex optimization for constrained control of linear systems using a reference governor

no code implementations16 Nov 2022 Marko Nonhoff, Johannes Köhler, Matthias A. Müller

In this work, we propose a control scheme for linear systems subject to pointwise in time state and input constraints that aims to minimize time-varying and a priori unknown cost functions.

A moving horizon state and parameter estimation scheme with guaranteed robust convergence

no code implementations16 Nov 2022 Julian D. Schiller, Matthias A. Müller

We propose a moving horizon estimation scheme for joint state and parameter estimation for nonlinear uncertain discrete-time systems.

Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems

no code implementations11 Nov 2022 Mohammad Alsalti, Victor G. Lopez, Julian Berberich, Frank Allgöwer, Matthias A. Müller

We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems.

Distributed MPC for Self-Organized Cooperation of Multi-Agent Systems

no code implementations18 Oct 2022 Matthias Köhler, Matthias A. Müller, Frank Allgöwer

We present a sequential distributed model predictive control (MPC) scheme for cooperative control of multi-agent systems with dynamically decoupled heterogeneous nonlinear agents subject to individual constraints.

Distributed Optimization Model Predictive Control

Robust Data-Driven Moving Horizon Estimation for Linear Discrete-Time Systems

no code implementations17 Oct 2022 Tobias M. Wolff, Victor G. Lopez, Matthias A. Müller

In this paper, a robust data-driven moving horizon estimation (MHE) scheme for linear time-invariant discrete-time systems is introduced.

Stability in data-driven MPC: an inherent robustness perspective

no code implementations24 May 2022 Julian Berberich, Johannes Köhler, Matthias A. Müller, Frank Allgöwer

Moreover, we discuss how the presented proof technique allows to show closed-loop stability of a variety of DD-MPC schemes with noisy data, as long as the corresponding model-based MPC is inherently robust.

LEMMA Model Predictive Control

Linearly discounted economic MPC without terminal conditions for periodic optimal operation

no code implementations6 May 2022 Lukas Schwenkel, Alexander Hadorn, Matthias A. Müller, Frank Allgöwer

Under standard dissipativity and controllability assumptions, we can prove that the resulting linearly discounted economic MPC without terminal conditions achieves optimal asymptotic average performance up to an error that vanishes with growing prediction horizons.

Model Predictive Control

Sample-based observability of linear discrete-time systems

no code implementations13 Apr 2022 Isabelle Krauss, Victor G. Lopez, Matthias A. Müller

In this work, sample-based observability of linear discrete-time systems is studied.

A simple suboptimal moving horizon estimation scheme with guaranteed robust stability

no code implementations30 Mar 2022 Julian D. Schiller, Boyang Wu, Matthias A. Müller

We propose a suboptimal moving horizon estimation (MHE) scheme for a general class of nonlinear systems.

valid

A novel constraint tightening approach for robust data-driven predictive control

no code implementations14 Mar 2022 Christian Klöppelt, Julian Berberich, Frank Allgöwer, Matthias A. Müller

This allows the entire scheme to be set up using only a priori measured data and knowledge of an upper bound on the system order.

LEMMA Model Predictive Control

On a Continuous-Time Version of Willems' Lemma

no code implementations7 Mar 2022 Victor G. Lopez, Matthias A. Müller

In this paper, a method to represent every input-output trajectory of a continuous-time linear system in terms of previously collected data is presented.

LEMMA

A Lyapunov function for robust stability of moving horizon estimation

no code implementations25 Feb 2022 Julian D. Schiller, Simon Muntwiler, Johannes Köhler, Melanie N. Zeilinger, Matthias A. Müller

We provide a novel robust stability analysis for moving horizon estimation (MHE) using a Lyapunov function.

Data-driven distributed MPC of dynamically coupled linear systems

no code implementations25 Feb 2022 Matthias Köhler, Julian Berberich, Matthias A. Müller, Frank Allgöwer

In this paper, we present a data-driven distributed model predictive control (MPC) scheme to stabilise the origin of dynamically coupled discrete-time linear systems subject to decoupled input constraints.

LEMMA Model Predictive Control

Parameter estimation and model reduction for retinal laser treatment

no code implementations25 Feb 2022 Manuel Schaller, Mitsuru Wilson, Viktoria Kleyman, Mario Mordmüller, Ralf Brinkmann, Matthias A. Müller, Karl Worthmann

Laser photocoagulation is one of the most frequently used treatment approaches for retinal diseases such as diabetic retinopathy and macular edema.

Model Predictive Control

Data-Based Moving Horizon Estimation for Linear Discrete-Time Systems

no code implementations9 Nov 2021 Tobias M. Wolff, Victor G. Lopez, Matthias A. Müller

This paper introduces a data-based moving horizon estimation (MHE) scheme for linear time-invariant discrete-time systems.

Suboptimal nonlinear moving horizon estimation

no code implementations31 Aug 2021 Julian D. Schiller, Matthias A. Müller

In this paper, we propose a suboptimal moving horizon estimator for a general class of nonlinear systems.

Model Predictive Control

Efficient Off-Policy Q-Learning for Data-Based Discrete-Time LQR Problems

no code implementations17 May 2021 Victor G. Lopez, Mohammad Alsalti, Matthias A. Müller

The proposed method does not require any knowledge of the system dynamics, and it enjoys significant efficiency advantages over other data-based optimal control methods in the literature.

Q-Learning

Robust output feedback model predictive control using online estimation bounds

no code implementations7 May 2021 Johannes Köhler, Matthias A. Müller, Frank Allgöwer

Robust constraint satisfaction is guaranteed by suitably incorporating these online validated bounds on the estimation error in a homothetic tube based MPC formulation.

Model Predictive Control

Data-Based System Analysis and Control of Flat Nonlinear Systems

no code implementations4 Mar 2021 Mohammad Alsalti, Julian Berberich, Victor G. Lopez, Frank Allgöwer, Matthias A. Müller

Willems et al. showed that all input-output trajectories of a discrete-time linear time-invariant system can be obtained using linear combinations of time shifts of a single, persistently exciting, input-output trajectory of that system.

State and parameter estimation for model-based retinal laser treatment

no code implementations4 Mar 2021 Viktoria Kleyman, Manuel Schaller, Mitsuru Wilson, Mario Mordmüller, Ralf Brinkmann, Karl Worthmann, Matthias A. Müller

We find that, regarding convergence speed, the moving horizon estimation slightly outperforms the extended Kalman filter on measurement data in terms of parameter and state estimation, however, on simulated data the results are very similar.

Transient Performance of Tube-based Robust Economic Model Predictive Control

no code implementations18 Feb 2021 Christian Klöppelt, Lukas Schwenkel, Frank Allgöwer, Matthias A. Müller

In this paper, we provide non-averaged and transient performance guarantees for recently developed, tube-based robust economic model predictive control (MPC) schemes.

Model Predictive Control

On the design of terminal ingredients for data-driven MPC

no code implementations14 Jan 2021 Julian Berberich, Johannes Köhler, Matthias A. Müller, Frank Allgöwer

We present a model predictive control (MPC) scheme to control linear time-invariant systems using only measured input-output data and no model knowledge.

Optimization and Control Systems and Control Systems and Control

Constrained nonlinear output regulation using model predictive control -- extended version

no code implementations25 May 2020 Johannes Köhler, Matthias A. Müller, Frank Allgöwer

The paper also contains novel results for MPC without terminal constraints with positive semidefinite input/output stage costs that are of independent interest.

Model Predictive Control

Robust Constraint Satisfaction in Data-Driven MPC

no code implementations15 Mar 2020 Julian Berberich, Johannes Köhler, Matthias A. Müller, Frank Allgöwer

We propose a purely data-driven model predictive control (MPC) scheme to control unknown linear time-invariant systems with guarantees on stability and constraint satisfaction in the presence of noisy data.

Model Predictive Control

Data-Driven Tracking MPC for Changing Setpoints

no code implementations21 Oct 2019 Julian Berberich, Johannes Köhler, Matthias A. Müller, Frank Allgöwer

We propose a data-driven tracking model predictive control (MPC) scheme to control unknown discrete-time linear time-invariant systems.

Model Predictive Control

Data-Driven Model Predictive Control with Stability and Robustness Guarantees

no code implementations11 Jun 2019 Julian Berberich, Johannes Köhler, Matthias A. Müller, Frank Allgöwer

First, we prove exponential stability of a nominal data-driven MPC scheme with terminal equality constraints in the case of no measurement noise.

Model Predictive Control

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