Chair HS

Hybrid systems

Linear systems have been studied extensively and provide a good description of a system locally. However, if one wants to improve performance in a large region then nonlinearities can no longer be ignored. An autopilot for an airplane to keep the plane at a fixed heading, speed and height can be designed based on a linear model; an autopilot for take-off and landing cannot. One of the main focus areas in our research is to study specific nonlinear behavior. For the design of an autopilot for the airplane we can use a model, which is based on switching between a finite number of linear models. This yields to so-called hybrid models and there are many open questions for this class of systems. Currently, we are analyzing stability and tracking for these classes of models