Digital Stabilization of a Switched Linear System with Commensurate Delays

Abstract

An approach to the construction of a digital controller that stabilizes a continuous-time switched linear system with commensurate delays in control is proposed. The approach to stabilization sequentially includes the construction of a switched continuous-discrete closed system with a digital controller, the transition to its discrete model represented as a switched system with modes of various orders, and the construction of a discrete dynamic controller based on the quadratic stability condition for a closed switched discrete-time system.