7 papers
Vector relative degree and funnel control for differential-algebraic systems
Thomas Berger, Huy Hoàng Lê, Timo Reis
We consider tracking control for multi-input multi-output differential-algebraic systems. First, the concept of vector relative degree is generalized for linear systems and we arri…
Funnel control in the presence of infinite-dimensional internal dynamics
Thomas Berger, Marc Puche, Felix Schwenninger
We consider output trajectory tracking for a class of uncertain nonlinear systems whose internal dynamics may be modelled by infinite-dimensional systems which are bounded-input, b…
Fault tolerant funnel control for uncertain linear systems
Thomas Berger
We study adaptive fault tolerant tracking control for uncertain linear systems. Based on recent results in funnel control and the time-varying Byrnes-Isidori form, we develop a low…
Learning-based Funnel-MPC for output-constrained nonlinear systems
Thomas Berger, Carolin Kästner, Karl Worthmann
We exploit an adaptive control technique, namely funnel control, in order to establish both initial and recursive feasibility in Model Predictive Control (MPC) for output-constrain…
Tracking with prescribed performance for linear non-minimum phase systems
Thomas Berger
We consider tracking control for uncertain linear systems with known relative degree which are possibly non-minimum phase, i.e., their zero dynamics may have an unstable part. For…
Observers for differential-algebraic systems with Lipschitz or monotone nonlinearities
Thomas Berger, Lukas Lanza
We study state estimation for nonlinear differential-algebraic systems, where the nonlinearity satisfies a Lipschitz condition or a generalized monotonicity condition or a combinat…