activity
20142026
most citedAnalysis and design of model predictive control frameworks for dynamic operation -- An overview

75 citations · 309 across the 47 of their papers we have counts for

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10 papers · 1 filter

math.OC2026

On stability and non-averaged performance of economic MPC with terminal conditions for optimal periodic operation

Jonas Mair, Lukas Schwenkel, Matthias A. Müller +1

Operation at steady state is often not optimal when optimizing over an economic cost objective. In many cases, periodic operation yields better performance. Therefore, we derive as…

math.OC2025

Data-driven stabilization of nonlinear systems via descriptor embedding

Mohammad Alsalti, Claudio De Persis, Victor G. Lopez +1

We introduce the notion of descriptor embedding for nonlinear systems and use it for the data-driven design of stabilizing controllers. Specifically, we provide sufficient data-dep…

math.OC2025

Performance guarantees for optimization-based state estimation using turnpike properties

Julian D. Schiller, Lars Grüne, and Matthias A. Müller

In this paper, we develop novel accuracy and performance guarantees for optimal state estimation of general nonlinear systems (in particular, moving horizon estimation, MHE). Our r…

math.OC2024

Optimal state estimation: Turnpike analysis and performance results

Julian D. Schiller, Lars Grüne, Matthias A. Müller

In this paper, we introduce turnpike arguments in the context of optimal state estimation. In particular, we show that the optimal solution of the state estimation problem involvin…

math.OC2023★ 12 cited

Transient Performance of MPC for Tracking

Matthias Köhler, Lisa Krügel, Lars Grüne +2

We analyse the closed-loop performance of a model predictive control (MPC) for tracking formulation with artificial references. It has been shown that such a scheme guarantees clos…

math.OC2023★ 14 cited

On the design of persistently exciting inputs for data-driven control of linear and nonlinear systems

Mohammad Alsalti, Victor G. Lopez, Matthias A. Müller

In the context of data-driven control, persistence of excitation (PE) of an input sequence is defined in terms of a rank condition on the Hankel matrix of the input data. For nonli…

math.OC2022★ 10 cited

On the relation between dynamic regret and closed-loop stability

Marko Nonhoff, Matthias A. Müller

In this work, we study the relations between bounded dynamic regret and the classical notion of asymptotic stability for the case of a priori unknown and time-varying cost function…

math.OC2022★ 1 cited

Configuration-Constrained Tube MPC

Mario E. Villanueva, Matthias A. Müller, Boris Houska

This paper is about robust Model Predictive Control (MPC) for linear systems with additive and multiplicative uncertainty. A novel class of configuration-constrained polytopic robu…

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.OC2020★ 15 cited

An online convex optimization algorithm for controlling linear systems with state and input constraints

Marko Nonhoff, Matthias A. Müller

This paper studies the problem of controlling linear dynamical systems subject to point-wise-in-time constraints. We present an algorithm similar to online gradient descent, that c…