Conference Proceedings
Input to state stability of pulse width modulated control systems
AR Teel, L Moreau, D NESIC
Proceedings of the 15th International Symposium on the Mathematical Theory of Networks and Systems | University of Notre Dame | Published : 2002
Abstract
New results on set stability and input-to-state stability in pulse-width modulated (PWM) control systems with disturbances are presented. The results are based on a recent generalization of two time scale stability theory to di®erential equations with disturbances. In particular, averaging theory for systems with disturbances is used to establish the results. The nonsmooth nature of PWM systems is accommodated by working with upper semicontinuous set-valued maps, locally Lipschitz in°ations of these maps, and locally Lipschitz parameterizations of locally Lipschitz set-valued maps.