no code implementations • 22 Apr 2024 • Victor G. Lopez, Matthias A. Müller
We consider the cases of homogeneous and heterogeneous systems.
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 • 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 • 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 • 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 • 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 • 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 • 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 • 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 • 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 • 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 • 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 • 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 • 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.