15 papers
Linear Data-Driven Economic MPC with Generalized Terminal Constraint
Yifan Xie, Julian Berberich, Frank Allgöwer
In this paper, we propose a data-driven economic model predictive control (EMPC) scheme with generalized terminal constraint to control an unknown linear time-invariant system. Our…
A novel constraint tightening approach for robust data-driven predictive control
Christian Klöppelt, Julian Berberich, Frank Allgöwer +1
In this paper, we present a data-driven model predictive control (MPC) scheme that is capable of stabilizing unknown linear time-invariant systems under the influence of process di…
Linear systems with neural network nonlinearities: Improved stability analysis via acausal Zames-Falb multipliers
Patricia Pauli, Dennis Gramlich, Julian Berberich +1
In this paper, we analyze the stability of feedback interconnections of a linear time-invariant system with a neural network nonlinearity in discrete time. Our analysis is based on…
Improved stability conditions for systems under aperiodic sampling: model- and data-based analysis
Stefan Wildhagen, Julian Berberich, Matthias Hirche +1
Discrete-time systems under aperiodic sampling may serve as a modeling abstraction for a multitude of problems arising in cyber-physical and networked control systems. Recently, mo…
Data-Based System Analysis and Control of Flat Nonlinear Systems
Mohammad Alsalti, Julian Berberich, Victor G. Lopez +2
Willems et al. showed that all input-output trajectories of a discrete-time linear time-invariant system can be obtained using linear combinations of time shifts of a single, persi…
Data-Driven Controller Design via Finite-Horizon Dissipativity
Nils Wieler, Julian Berberich, Anne Koch +1
Given one open-loop measured trajectory of a single-input single-output discrete-time linear time-invariant system, we present a framework for data-driven controller design for clo…