3 papers
math.OC2020
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…
math.OC2019
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…
math.OC2019
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…