On the Design of Sparse Hybrid Control for Switched Linear Systems

Abstract

We present a new algorithm for the design of maximum hands-off hybrid control sequences for discrete-time switched linear systems that satisfy pre-specified restrictions on the admissible actions and steer a given initial state of the switched system to the origin of the state-space in a pre-specified duration of time. The key apparatuses for our analysis are state-space abstraction and graph theory. A numerical example is presented to demonstrate our results.