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20182026
most citedData-Driven Model Predictive Control with Stability and Robustness Guarantees

808 citations · 2.6k across the 59 of their papers we have counts for

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12 papers · 1 filter

math.OC2024

Robust targeted exploration for systems with non-stochastic disturbances

Janani Venkatasubramanian, Johannes Köhler, Mark Cannon +1

We propose a novel targeted exploration strategy designed specifically for uncertain linear time-invariant systems with energy-bounded disturbances, i.e., without any assumptions o…

math.OC2024

Parallelizable Parametric Nonlinear System Identification via tuning of a Moving Horizon State Estimator

Léo Simpson, Jonas Asprion, Simon Muntwiler +2

This paper introduces a novel optimization-based approach for parametric nonlinear system identification. Building upon the prediction error method framework, traditionally used fo…

math.OC2024★ 1 cited

Fast System Level Synthesis: Robust Model Predictive Control using Riccati Recursions

Antoine P. Leeman, Johannes Köhler, Florian Messerer +3

System level synthesis enables improved robust MPC formulations by allowing for joint optimization of the nominal trajectory and controller. This paper introduces a tailored algori…

math.OC2023

Homothetic tube model predictive control with multi-step predictors

Danilo Saccani, Giancarlo Ferrari-Trecate, Melanie N. Zeilinger +1

We present a robust model predictive control (MPC) framework for linear systems facing bounded parametric uncertainty and bounded disturbances. Our approach deviates from standard…

math.OC2023★ 5 cited

Robust Nonlinear Optimal Control via System Level Synthesis

Antoine P. Leeman, Johannes Köhler, Andrea Zanelli +2

This paper addresses the problem of finite horizon constrained robust optimal control for nonlinear systems subject to norm-bounded disturbances. To this end, the underlying uncert…

math.OC2022★ 3 cited

State space models vs. multi-step predictors in predictive control: Are state space models complicating safe data-driven designs?

Johannes Köhler, Kim P. Wabersich, Julian Berberich +1

This paper contrasts recursive state space models and direct multi-step predictors for linear predictive control. We provide a tutorial exposition for both model structures to solv…

math.OC2021★ 30 cited

Stability and performance analysis of NMPC: Detectable stage costs and general terminal costs

Johannes Köhler, Melanie N. Zeilinger, Lars Grüne

We provide a stability and performance analysis for nonlinear model predictive control (NMPC) schemes subject to input constraints. Given an exponential stabilizability and detecta…

math.OC2021★ 187 cited

Linear tracking MPC for nonlinear systems Part II: The data-driven case

Julian Berberich, Johannes Köhler, Matthias A. Müller +1

We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarant…

math.OC2021★ 71 cited

Linear tracking MPC for nonlinear systems Part I: The model-based case

Julian Berberich, Johannes Köhler, Matthias A. Müller +1

We develop a tracking model predictive control (MPC) scheme for nonlinear systems using the linearized dynamics at the current state as a prediction model. Under reasonable assumpt…

math.OC2021★ 38 cited

Model predictive control for linear uncertain systems using integral quadratic constraints

Lukas Schwenkel, Johannes Köhler, Matthias A. Müller +1

In this work, we propose a tube-based MPC scheme for state- and input-constrained linear systems subject to dynamic uncertainties characterized by dynamic integral quadratic constr…

math.OC2021★ 88 cited

Robust stability analysis of a simple data-driven model predictive control approach

Joscha Bongard, Julian Berberich, Johannes Köhler +1

In this paper, we provide a theoretical analysis of closed-loop properties of a simple data-driven model predictive control (MPC) scheme. The formulation does not involve any termi…

math.OC2021★ 47 cited

On the design of terminal ingredients for data-driven MPC

Julian Berberich, Johannes Köhler, Matthias A. Müller +1

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