no code implementations • 22 Apr 2024 • Victor G. Lopez, Matthias A. Müller
We consider the cases of homogeneous and heterogeneous systems.
no code implementations • 15 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.
no code implementations • 15 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).
no code implementations • 1 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.
no code implementations • 7 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.
no code implementations • 9 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.
no code implementations • 21 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.
no code implementations • 20 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.
no code implementations • 6 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.
no code implementations • 29 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.
no code implementations • 20 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.
no code implementations • 31 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.
no code implementations • 21 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.
no code implementations • 11 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.
no code implementations • 9 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.
no code implementations • 13 Apr 2023 • Tobias M. Wolff, Victor G. Lopez, Matthias A. Müller
In this paper, we introduce a Gaussian process based moving horizon estimation (MHE) framework.
no code implementations • 6 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.
no code implementations • 31 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.
no code implementations • 20 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.
no code implementations • 17 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).
no code implementations • 16 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.
no code implementations • 16 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.
no code implementations • 11 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.
no code implementations • 18 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.
no code implementations • 17 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.
no code implementations • 24 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.
no code implementations • 6 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.
no code implementations • 13 Apr 2022 • Isabelle Krauss, Victor G. Lopez, Matthias A. Müller
In this work, sample-based observability of linear discrete-time systems is studied.
no code implementations • 30 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.
no code implementations • 14 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.
no code implementations • 7 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.
no code implementations • 25 Feb 2022 • Manuel Schaller, Viktoria Kleyman, Mario Mordmüller, Christian Schmidt, Mitsuru Wilson, Ralf Brinkmann, Matthias A. Müller, Karl Worthmann
Laser photocoagulation is a technique applied in the treatment of retinal diseases.
no code implementations • 25 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.
no code implementations • 25 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.
no code implementations • 25 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.
no code implementations • 9 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.
no code implementations • 31 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.
no code implementations • 17 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.
no code implementations • 7 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.
no code implementations • 4 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.
no code implementations • 4 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.
no code implementations • 18 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.
no code implementations • 14 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
no code implementations • 17 Nov 2020 • Julian D. Schiller, Sven Knüfer, Matthias A. Müller
In this paper, we propose a suboptimal moving horizon estimator for nonlinear systems.
no code implementations • 25 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.
no code implementations • 15 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.
no code implementations • 21 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.
no code implementations • 11 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.