2011 National Control Engineering Students Workshop

This presentation focuses on passivity-based control methods for hybrid systems. This includes a summary of previous definitions of passivity and dissipativity for switched systems. This framework allows for the generalization of passivity index theory to this important class of hybrid systems. It is a method of quantifying the level of passivity of a given system and is closely related to conic systems theory. This original work on indices is a promising direction that provides new methods of analyzing stability in feedback interconnections of switched systems. Although some of this material is developed for delay-free implementations, most of this work is aimed at applications in network control. The networks of interest include non-ideal behavior such as lost data and time-varying delays that are measurable. Incorporating the realistic constraints of network applications into this theory strengthens its applicability to real implementations.