Stabilization of Limit Cycles of Discretely Controlled Continuous Systems by Controlling Switching Surfaces

摘要

Discretely controlled continuous systems (DCCS) represent an important class of hybrid systems, in which a continuous process is regulated by a discrete controller. The paper considers the problem of stabilizing the periodic operation of such systems under event-driven switching. The key idea presented is to adjust switching surface parameters on-line to the current behavior of the continuous system. To this end, only measurements at switching instants are necessary. The presented approach extends the well-known OGY-method for controlling unstable periodic orbits in smooth chaotic systems to this class of hybrid systems.