no code implementations • 27 Mar 2024 • Maximilian Degner, Raffaele Soloperto, Melanie N. Zeilinger, John Lygeros, Johannes Köhler
We present a model predictive control (MPC) formulation to directly optimize economic criteria for linear constrained systems subject to disturbances and uncertain model parameters.
1 code implementation • 25 Mar 2024 • Carmen Amo Alonso, Jerome Sieber, Melanie N. Zeilinger
In recent years, there has been a growing interest in integrating linear state-space models (SSM) in deep neural network architectures of foundation models.
1 code implementation • 9 Feb 2024 • Manish Prajapat, Johannes Köhler, Matteo Turchetta, Andreas Krause, Melanie N. Zeilinger
Based on this framework we propose an efficient algorithm, SageMPC, SAfe Guaranteed Exploration using Model Predictive Control.
no code implementations • 20 Jan 2024 • Alexandre Didier, Andrea Zanelli, Kim P. Wabersich, Melanie N. Zeilinger
Predictive safety filters provide a way of projecting potentially unsafe inputs onto the set of inputs that guarantee recursive state and input constraint satisfaction.
no code implementations • 21 Dec 2023 • Simon Muntwiler, Johannes Köhler, Melanie N. Zeilinger
Together, we present a unified framework to study functional estimation with a detectability condition, which is necessary and sufficient for the existence of a stable functional estimator, and a corresponding functional estimator design.
no code implementations • 21 Dec 2023 • Simon Muntwiler, Johannes Köhler, Melanie N. Zeilinger
In this paper, we study state estimation for general nonlinear systems with unknown parameters and persistent process and measurement noise.
1 code implementation • 15 Dec 2023 • Abdullah Tokmak, Christian Fiedler, Melanie N. Zeilinger, Sebastian Trimpe, Johannes Köhler
We address this problem by presenting a novel algorithm that automatically computes an explicit approximation to nonlinear MPC schemes while retaining closed-loop guarantees.
no code implementations • 6 Dec 2023 • Rahel Rickenbach, Anna Scampicchio, Melanie N. Zeilinger
Inverse optimal control (IOC) is about estimating an unknown objective of interest given its optimal control sequence.
no code implementations • 16 Oct 2023 • Simon Muntwiler, Ognjen Stanojev, Andrea Zanelli, Gabriela Hug, Melanie N. Zeilinger
The fast modes are then truncated in the rotated coordinate system to obtain a lower-order model with reduced stiffness.
no code implementations • 11 Sep 2023 • John Irvin Alora, Luis A. Pabon, Johannes Köhler, Mattia Cenedese, Ed Schmerling, Melanie N. Zeilinger, George Haller, Marco Pavone
Real-world systems are often characterized by high-dimensional nonlinear dynamics, making them challenging to control in real time.
1 code implementation • 25 Jul 2023 • Manish Prajapat, Mojmír Mutný, Melanie N. Zeilinger, Andreas Krause
In many important applications, such as coverage control, experiment design and informative path planning, rewards naturally have diminishing returns, i. e., their value decreases in light of similar states visited previously.
no code implementations • 24 Jun 2023 • Truong X. Nghiem, Ján Drgoňa, Colin Jones, Zoltan Nagy, Roland Schwan, Biswadip Dey, Ankush Chakrabarty, Stefano Di Cairano, Joel A. Paulson, Andrea Carron, Melanie N. Zeilinger, Wenceslao Shaw Cortez, Draguna L. Vrabie
Specifically, the paper covers an overview of the theory, fundamental concepts and methods, tools, and applications on topics of: 1) physics-informed learning for system identification; 2) physics-informed learning for control; 3) analysis and verification of PIML models; and 4) physics-informed digital twins.
no code implementations • 5 Jun 2023 • Rahel Rickenbach, Elena Arcari, Melanie N. Zeilinger
The choice of objective is critical for the performance of an optimal controller.
1 code implementation • 19 Apr 2023 • Henrik Hose, Johannes Köhler, Melanie N. Zeilinger, Sebastian Trimpe
Our method requires a single evaluation of the NN and forward integration of the input sequence online, which is fast to compute on resource-constrained systems.
no code implementations • 4 Apr 2023 • Danilo Saccani, Lorenzo Fagiano, Melanie N. Zeilinger, Andrea Carron
In control system networks, reconfiguration of the controller when agents are leaving or joining the network is still an open challenge, in particular when operation constraints that depend on each agent's behavior must be met.
1 code implementation • 3 Apr 2023 • Antoine P. Leeman, Jerome Sieber, Samir Bennani, Melanie N. Zeilinger
The proposed approach jointly optimizes a nominal nonlinear trajectory and an error feedback, requiring minimal offline design effort and offering low conservatism.
no code implementations • 31 Mar 2023 • Johannes Köhler, Ferdinand Geuss, Melanie N. Zeilinger
We investigate two particular MPC formulations representative for these two frameworks called robust-stochastic MPC and indirect feedback stochastic MPC.
no code implementations • 17 Mar 2023 • Rahel Rickenbach, Johannes Köhler, Anna Scampicchio, Melanie N. Zeilinger, Andrea Carron
In addition, we derive a control framework that avoids the hierarchical structure by integrating the reference optimization in the MPC formulation.
1 code implementation • 5 Dec 2022 • Antoine P. Leeman, Johannes Köhler, Samir Benanni, Melanie N. Zeilinger
In this paper, we present an improved model predictive safety filter (MPSF) formulation, which incorporates system level synthesis techniques in the design.
no code implementations • 1 Dec 2022 • Simon Muntwiler, Kim P. Wabersich, Robert Miklos, Melanie N. Zeilinger
We present an output feedback stochastic model predictive control (SMPC) approach for linear systems subject to Gaussian disturbances and measurement noise and probabilistic constraints on system states and inputs.
no code implementations • 28 Nov 2022 • Alexandre Didier, Robin C. Jacobs, Jerome Sieber, Kim P. Wabersich, Melanie N. Zeilinger
A predictive control barrier function (PCBF) based safety filter is a modular framework to verify safety of a control input by predicting a future trajectory.
no code implementations • 24 Nov 2022 • Jerome Sieber, Andrea Zanelli, Antoine P. Leeman, Samir Bennani, Melanie N. Zeilinger
Tube-based model predictive control (MPC) methods bound deviations from a nominal trajectory due to uncertainties in order to ensure constraint satisfaction.
no code implementations • 15 Nov 2022 • Alexandre Didier, Melanie N. Zeilinger
This paper presents a synthesis method for the generalised dynamic regret problem, comparing the performance of a strictly causal controller to the optimal non-causal controller under a weighted disturbance.
1 code implementation • 12 Oct 2022 • Manish Prajapat, Matteo Turchetta, Melanie N. Zeilinger, Andreas Krause
In this paper, we aim to efficiently learn the density to approximately solve the coverage problem while preserving the agents' safety.
no code implementations • 23 Sep 2022 • András Sasfi, Melanie N. Zeilinger, Johannes Köhler
As a result, the proposed MPC formulation is applicable to a large class of nonlinear systems, reduces conservatism during online operation, and guarantees robust constraint satisfaction and convergence to a neighborhood of the desired setpoint.
no code implementations • 20 May 2022 • Elena Arcari, Andrea Iannelli, Andrea Carron, Melanie N. Zeilinger
assumption on the noise distribution, we also provide an average asymptotic performance bound for the l2-norm of the closed-loop state.
no code implementations • 2 Mar 2022 • Johannes Köhler, Melanie N. Zeilinger
We present a stochastic model predictive control (SMPC) framework for linear systems subject to possibly unbounded disturbances.
no code implementations • 28 Feb 2022 • Alexandre Didier, Jerome Sieber, Melanie N. Zeilinger
We present an optimisation-based method for synthesising a dynamic regret optimal controller for linear systems with potentially adversarial disturbances and known or adversarial initial conditions.
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 • 5 Nov 2021 • Jerome Sieber, Andrea Zanelli, Samir Bennani, Melanie N. Zeilinger
Tube-based model predictive control (MPC) methods leverage tubes to bound deviations from a nominal trajectory due to uncertainties in order to ensure constraint satisfaction.
no code implementations • ICLR 2022 • Lukas P. Fröhlich, Maksym Lefarov, Melanie N. Zeilinger, Felix Berkenkamp
In contrast, model-based methods can use the learned model to generate new data, but model errors and bias can render learning unstable or suboptimal.
no code implementations • 27 Sep 2021 • Alexandre Didier, Kim P. Wabersich, Melanie N. Zeilinger
By continuously connecting the current system state with a safe terminal set using a robust tube, safety can be ensured.
1 code implementation • 8 Sep 2021 • Simon Muntwiler, Kim P. Wabersich, Melanie N. Zeilinger
In a numerical example of estimating temperatures of a group of manufacturing machines, we show the performance of tuning the unknown system parameters and the benefits of integrating physical state constraints in the MHE formulation.
no code implementations • 21 May 2021 • Kim P. Wabersich, Melanie N. Zeilinger
While learning-based control techniques often outperform classical controller designs, safety requirements limit the acceptance of such methods in many applications.
no code implementations • 3 Mar 2021 • Jerome Sieber, Samir Bennani, Melanie N. Zeilinger
Robust tube-based model predictive control (MPC) methods address constraint satisfaction by leveraging an a priori determined tube controller in the prediction to tighten the constraints.
no code implementations • 13 Aug 2020 • Elena Arcari, Andrea Carron, Melanie N. Zeilinger
Data availability has dramatically increased in recent years, driving model-based control methods to exploit learning techniques for improving the system description, and thus control performance.
no code implementations • 5 Jun 2020 • Kim P. Wabersich, Melanie N. Zeilinger
Furthermore, it is shown that the proposed constraint tightening implies a bound on the expected number of unsafe learning episodes in the linear and nonlinear case using a soft-constrained MPC formulation.
no code implementations • 6 May 2020 • Marcel Menner, Melanie N. Zeilinger
This paper discusses theoretic properties of the learning methods and presents simulation results that highlight the advantages of using the maximum likelihood formulation for learning objective functions.
no code implementations • 6 Apr 2020 • Simon Muntwiler, Kim P. Wabersich, Lukas Hewing, Melanie N. Zeilinger
Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and optimization methods.
1 code implementation • 7 Feb 2020 • Lukas P. Fröhlich, Edgar D. Klenske, Julia Vinogradska, Christian Daniel, Melanie N. Zeilinger
We consider the problem of robust optimization within the well-established Bayesian optimization (BO) framework.
no code implementations • 21 Jan 2020 • Lukas P. Fröhlich, Edgar D. Klenske, Christian G. Daniel, Melanie N. Zeilinger
Bayesian Optimization (BO) is an effective method for optimizing expensive-to-evaluate black-box functions with a wide range of applications for example in robotics, system design and parameter optimization.
no code implementations • L4DC 2020 • Lukas Hewing, Elena Arcari, Lukas P. Fröhlich, Melanie N. Zeilinger
Second, we propose a linearization-based technique that directly provides approximations of the trajectory distribution, taking correlations explicitly into account.
no code implementations • 5 Nov 2019 • Simon Muntwiler, Kim P. Wabersich, Andrea Carron, Melanie N. Zeilinger
While distributed algorithms provide advantages for the control of complex large-scale systems by requiring a lower local computational load and less local memory, it is a challenging task to design high-performance distributed control policies.
no code implementations • 13 Dec 2018 • Kim P. Wabersich, Melanie N. Zeilinger
In this paper, we address this problem for nonlinear systems with continuous state and input spaces by introducing a predictive safety filter, which is able to turn a constrained dynamical system into an unconstrained safe system and to which any RL algorithm can be applied `out-of-the-box'.
no code implementations • 22 Mar 2018 • Kim P. Wabersich, Melanie N. Zeilinger
The MPSC scheme can be used in order to expand any potentially conservative set of safe states for learning and we prove an iterative technique for enlarging the safe set.
no code implementations • 30 Nov 2017 • Kim P. Wabersich, Melanie N. Zeilinger
The control of complex systems faces a trade-off between high performance and safety guarantees, which in particular restricts the application of learning-based methods to safety-critical systems.
no code implementations • 17 Nov 2017 • Lukas Hewing, Alexander Liniger, Melanie N. Zeilinger
This paper presents an adaptive high performance control method for autonomous miniature race cars.