Search Results for author: Melanie N. Zeilinger

Found 47 papers, 10 papers with code

Adaptive Economic Model Predictive Control for linear systems with performance guarantees

no code implementations27 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.

Model Predictive Control

State Space Models as Foundation Models: A Control Theoretic Overview

1 code implementation25 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.

Safe Guaranteed Exploration for Non-linear Systems

1 code implementation9 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.

Efficient Exploration Model Predictive Control

Predictive stability filters for nonlinear dynamical systems affected by disturbances

no code implementations20 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.

Model Predictive Control

Nonlinear Functional Estimation: Functional Detectability and Full Information Estimation

no code implementations21 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.

MHE under parametric uncertainty -- Robust state estimation without informative data

no code implementations21 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.

Friction

Automatic nonlinear MPC approximation with closed-loop guarantees

1 code implementation15 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.

Model Predictive Control

Inverse Optimal Control as an Errors-in-Variables Problem

no code implementations6 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.

A Stiffness-Oriented Model Order Reduction Method for Low-Inertia Power Systems

no code implementations16 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.

Submodular Reinforcement Learning

1 code implementation25 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.

reinforcement-learning Reinforcement Learning (RL)

Physics-Informed Machine Learning for Modeling and Control of Dynamical Systems

no code implementations24 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.

Physics-informed machine learning

Time Dependent Inverse Optimal Control using Trigonometric Basis Functions

no code implementations5 Jun 2023 Rahel Rickenbach, Elena Arcari, Melanie N. Zeilinger

The choice of objective is critical for the performance of an optimal controller.

Approximate non-linear model predictive control with safety-augmented neural networks

1 code implementation19 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.

Model Predictive Control

Model Predictive Control for Multi-Agent Systems under Limited Communication and Time-Varying Network Topology

no code implementations4 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.

Model Predictive Control

Robust Optimal Control for Nonlinear Systems with Parametric Uncertainties via System Level Synthesis

1 code implementation3 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.

On stochastic MPC formulations with closed-loop guarantees: Analysis and a unifying framework

no code implementations31 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.

Model Predictive Control

Active Learning-based Model Predictive Coverage Control

no code implementations17 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.

Active Learning Model Predictive Control

Predictive safety filter using system level synthesis

1 code implementation5 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.

LQG for Constrained Linear Systems: Indirect Feedback Stochastic MPC with Kalman Filtering

no code implementations1 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.

Model Predictive Control

Approximate Predictive Control Barrier Functions using Neural Networks: A Computationally Cheap and Permissive Safety Filter

no code implementations28 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.

Autonomous Driving

Asynchronous Computation of Tube-based Model Predictive Control

no code implementations24 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.

Model Predictive Control

Generalised Regret Optimal Controller Synthesis for Constrained Systems

no code implementations15 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.

Near-Optimal Multi-Agent Learning for Safe Coverage Control

1 code implementation12 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.

Navigate Safe Exploration

Robust adaptive MPC using control contraction metrics

no code implementations23 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.

Model Predictive Control

Stochastic MPC with robustness to bounded parametric uncertainty

no code implementations20 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.

Model Predictive Control

Recursively feasible stochastic predictive control using an interpolating initial state constraint -- extended version

no code implementations2 Mar 2022 Johannes Köhler, Melanie N. Zeilinger

We present a stochastic model predictive control (SMPC) framework for linear systems subject to possibly unbounded disturbances.

Model Predictive Control

A System Level Approach to Regret Optimal Control

no code implementations28 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.

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.

System Level Disturbance Reachable Sets and their Application to Tube-based MPC

no code implementations5 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.

Model Predictive Control

On-Policy Model Errors in Reinforcement Learning

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.

reinforcement-learning Reinforcement Learning (RL)

Adaptive Model Predictive Safety Certification for Learning-based Control -- Extended Version

no code implementations27 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.

Learning-based Moving Horizon Estimation through Differentiable Convex Optimization Layers

1 code implementation8 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.

Predictive control barrier functions: Enhanced safety mechanisms for learning-based control

no code implementations21 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.

A System Level Approach to Tube-based Model Predictive Control

no code implementations3 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.

Model Predictive Control

Meta Learning MPC using Finite-Dimensional Gaussian Process Approximations

no code implementations13 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.

Meta-Learning Model Predictive Control +1

Cautious Bayesian MPC: Regret Analysis and Bounds on the Number of Unsafe Learning Episodes

no code implementations5 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.

Model Predictive Control

Maximum Likelihood Methods for Inverse Learning of Optimal Controllers

no code implementations6 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.

Data-Driven Distributed Stochastic Model Predictive Control with Closed-Loop Chance Constraint Satisfaction

no code implementations6 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.

Model Predictive Control

Noisy-Input Entropy Search for Efficient Robust Bayesian Optimization

1 code implementation7 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.

Bayesian Optimization

Bayesian Optimization for Policy Search in High-Dimensional Systems via Automatic Domain Selection

no code implementations21 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.

Bayesian Optimization

On Simulation and Trajectory Prediction with Gaussian Process Dynamics

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.

Trajectory Prediction

Distributed Model Predictive Safety Certification for Learning-based Control

no code implementations5 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.

Model Predictive Control

A predictive safety filter for learning-based control of constrained nonlinear dynamical systems

no code implementations13 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'.

Model Predictive Control Reinforcement Learning (RL) +1

Linear model predictive safety certification for learning-based control

no code implementations22 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.

Scalable synthesis of safety certificates from data with application to learning-based control

no code implementations30 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.

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