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20192026
most citedLinear tracking MPC for nonlinear systems Part II: The data-driven case

187 citations · 603 across the 24 of their papers we have counts for

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7 papers · 1 filter

math.OC2022★ 14 cited

Online convex optimization for data-driven control of dynamical systems

Marko Nonhoff, Matthias A. Müller

We propose an algorithm based on online convex optimization for controlling discrete-time linear dynamical systems. The algorithm is data-driven, i.e., does not require a model of…

math.OC2022★ 3 cited

Practical exponential stability of a robust data-driven nonlinear predictive control scheme

Mohammad Alsalti, Victor G. Lopez, Julian Berberich +2

We provide theoretical guarantees for recursive feasibility and practical exponential stability of the closed-loop system of a feedback linearizable nonlinear system when controlle…

math.OC2022★ 34 cited

Data-based Control of Feedback Linearizable Systems

Mohammad Alsalti, Victor G. Lopez, Julian Berberich +2

We present an extension of Willems' Fundamental Lemma to the class of multi-input multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based re…

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★ 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…

math.OC2019★ 19 cited

Online Gradient Descent for Linear Dynamical Systems

Marko Nonhoff, Matthias A. Müller

In this paper, online convex optimization is applied to the problem of controlling linear dynamical systems. An algorithm similar to online gradient descent, which can handle time-…