11 citations · 35 across the 11 of their papers we have counts for
11 papers
A Unified Non-Strict Finsler Lemma
T. J. Meijer, K. J. A. Scheres, S. van den Eijnden +3
In this paper, we present a unified general non-strict Finsler lemma. This result is general in the sense that it does not impose any restrictions on the involved matrices and, the…
Energy matching in reduced passive and port-Hamiltonian systems
Tobias Holicki, Jonas Nicodemus, Paul Schwerdtner +1
It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is…
Optimization Algorithm Synthesis based on Integral Quadratic Constraints: A Tutorial
Carsten W. Scherer, Christian Ebenbauer, Tobias Holicki
We expose in a tutorial fashion the mechanisms which underlie the synthesis of optimization algorithms based on dynamic integral quadratic constraints. We reveal how these tools fr…
The Non-Strict Projection Lemma
T. J. Meijer, T. Holicki, S. J. A. M. van den Eijnden +2
The projection lemma (often also referred to as the elimination lemma) is one of the most powerful and useful tools in the context of linear matrix inequalities for system analysis…
A structure exploiting SDP solver for robust controller synthesis
Dennis Gramlich, Tobias Holicki, Carsten W. Scherer +1
In this paper, we revisit structure exploiting SDP solvers dedicated to the solution of Kalman-Yakubovic-Popov semi-definite programs (KYP-SDPs). These SDPs inherit their name from…
IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties
Tobias Holicki, Carsten W. Scherer
We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear sys…
Input-Output-Data-Enhanced Robust Analysis via Lifting
Tobias Holicki, Carsten W. Scherer
Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by t…
A Dynamic S-Procedure for Dynamic Uncertainties
Tobias Holicki, Carsten W. Scherer
We show how to compose robust stability tests for uncertain systems modeled as linear fractional representations and affected by various types of dynamic uncertainties. Our results…
Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis
Tobias Holicki, Carsten W. Scherer
The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedba…
Controller Design via Experimental Exploration with Robustness Guarantees
Tobias Holicki, Carsten W. Scherer, Sebastian Trimpe
For a partially unknown linear systems, we present a systematic control design approach based on generated data from measurements of closed-loop experiments with suitable test cont…
Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems
Tobias Holicki, Carsten W. Scherer
We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synth…