On the use of switching control for systems with bounded disturbances

Abstract

It has been known for some time that there are limits to the achievable performance in a linear time invariant feedback control system. Some of these limitations, however, may be ameliorated by the use of nonlinear and/or time varying feedback. Recently, there has been some interest in the use of switching control to improve the control performance for linear integrating plants with bounded input disturbances. In this paper we study asymptotic and bounded-input bounded-state stability properties of a class of switching feedback systems, and also examine one form of optimal control for such systems.