16 citations · 26 across the 5 of their papers we have counts for
8 papers
Some Remarks on Positive/Negative Feedback
Thomas Berger, Achim Ilchmann, Eugene P. Ryan
In the context of linear control systems, a commonly-held intuition is that negative and positive feedback cannot both be stability enhancing. The canonical linear prototype is the…
Funnel control -- a survey
Thomas Berger, Achim Ilchmann, Eugene P. Ryan
The methodology of funnel control was introduced in the early 2000s, and it has developed since then in many respects achieving a level of mathematical maturity balanced by practic…
Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable
Achim Ilchmann, Jonas Kirchhoff, Manuel Schaller
The present work is a successor of [Ilchmann, Kirchhoff 2022] on generic controllability and of [Ilchmann, Kirchhoff 2023] on relative generic controllability of linear differentia…
Model predictive control for singular differential-algebraic equations
Achim Ilchmann, Jonas Witschel, Karl Worthmann
We study model predictive control for singular differential-algebraic equations with higher index. This is a novelty when compared to the literature where only regular differential…
Funnel MPC for nonlinear systems with relative degree one
Thomas Berger, Dario Dennstädt, Achim Ilchmann +1
We show that Funnel MPC, a novel Model Predictive Control (MPC) scheme, allows tracking of smooth reference signals with prescribed performance for nonlinear multi-input multi-outp…
Quasi feedback forms for differential-algebraic systems
Thomas Berger, Achim Ilchmann, Stephan Trenn
We investigate feedback forms for linear time-invariant systems described by differential-algebraic equations. Feedback forms are representatives of certain equivalence classes. Fo…
Funnel control of nonlinear systems
Thomas Berger, Achim Ilchmann, Eugene P Ryan
Tracking of reference signals is addressed in the context of a class of nonlinear controlled systems modelled by -th order functional differential equations, encompassing inter…
Optimal control of differential-algebraic equations from an ordinary differential equation perspective
Achim Ilchmann, Leslie Leben, Jonas Witschel +1
We study the Optimal Control Problem (OCP) for regular linear differential-algebraic systems (DAEs). To this end, we introduce the input index, which allows, on the one hand, to ch…