This paper explains the motivation behind variable structure systems and analyses the current Modelica language with respect to those concerns. The major flaws and shortcomings are discussed to raise the awareness for the most relevant problem sets. Furthermore we sketch our current research activity in broad terms and explain our approach that consists of a new modeling language. Finally, a sm...

The aim of this paper is to present the application of an approach to study contraction theory recently developed for piecewise smooth and switched systems. The approach that can be used to analyze incremental stability properties of so-called Filippov systems (or variable structure systems) is based on the use of regularization, a procedure to make the vector field of interest differentiable b...

In this paper, we extend the sliding mode idea to a class of unmatched uncertain variable structure systems. This method is achieved with introducing a new terminal sliding variable and the finite time stability of proposed method is proved using a new particular finite time condition in both reaching and sliding phases. In reaching phase new sliding mode controller is derived to guarantee the ...

Dean of the Graduate College ii PREFACE The methodology of variable structure with sliding mode is proven to be very successful in controlling uncertain continuous-time dynamical systems. When the system is sampled or purely discrete, the invariance property of sliding mode, which is originally a continuous-time concept, no longer hold and the reaching condition has to be modiied to allow a pse...