Dwell-time control of continuous-time switched linear systems

This paper analyses the design of switched control of continuous-time switched systems, satisfying dwell-time constraints. These constraints are normally imposed to avoid the undesired phenomenon of chattering, which can damage physical devices used in the implementation of such systems. To this end, we define a discrete-time constrained switched system, which, together with sampled-data techniques, allows us to model this problem and design the switching rule, ensuring stability and performance to the closed-loop system. Numerical examples illustrate the developed theory.